Finite Group Databasebeta

← #7711630

Subgroups — #7711630

Order 512.

7172 conjugacy classes of subgroups.

The subgroup lattice has 1946 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3547C211yesmaximal, characteristic, complemented
2C22×#533C211yesmaximal, characteristic, complemented
3#59136C211yesmaximal, characteristic, complemented
4#59135C211yesmaximal, characteristic, complemented
5#59127C211yesmaximal, characteristic, complemented
6#59125C211yesmaximal, characteristic, complemented
7#59052C211yesmaximal, characteristic, complemented
8#59050C211yesmaximal, characteristic, complemented
9#59036C211yesmaximal, characteristic, complemented
10#59034C211yesmaximal, characteristic, complemented
11#45762C214yesmaximal, complemented
12#45445C214yesmaximal, complemented
13#39891C212yesmaximal, complemented
14#39878C212yesmaximal, complemented
15#39866C212yesmaximal, complemented
16#39854C212yesmaximal, complemented
17#37783C212yesmaximal, complemented
18#37781C212yesmaximal, complemented
19#37710C212yesmaximal, complemented
20#37706C212yesmaximal, complemented
21#37690C212yesmaximal, complemented
22#37687C212yesmaximal, complemented
23#37651C212yesmaximal, complemented
24#37649C212yesmaximal, complemented
25#37634C211yesmaximal, characteristic, complemented
26#37633C211yesmaximal, characteristic, complemented
27#37260C214yesmaximal, complemented
28#36624C211yesmaximal, characteristic, complemented
29#36621C211yesmaximal, characteristic, complemented
30#36438C212yesmaximal, complemented
31#36434C212yesmaximal, complemented
32#36235C212yesmaximal, complemented
33#36232C212yesmaximal, complemented
34#35243C214yesmaximal, complemented
35#34394C211yesmaximal, characteristic, complemented
36#3547—216no—
37C2×#562C2214yes—
38C2×#555C2212yes—
39C2×#555C2211yescharacteristic, complemented
40C2×#554C2211yescharacteristic, complemented
41C2×#553C2212yes—
42C2×#552C2212yescomplemented
43C2×D4×Q8C2212yes—
44C2×D4×Q8C2211yescharacteristic, complemented
45C2×#548C2212yes—
46C2×#548C2212yescomplemented
47C2×#547C2211yescharacteristic, complemented
48C2×#544C2212yescomplemented
49C2×#542C2214yescomplemented
50C2×#540C2212yescomplemented
51C2×#537C2212yes—
52C2×#536C2212yes—
53C2×#533—216no—
54C2×#533C2211yescharacteristic
55C2×#533C2212yes—
56C2×#533C2212yes—
57C2×#533C2212yes—
58C2×#533C2211yescharacteristic
59C2×#533C2211yescharacteristic
60C2×#533C2212yes—
61C2×#533C2212yes—
62C2×#533C2212yes—
63C2×#533C2211yescharacteristic
64C2×#532C2211yescharacteristic
65C22×C4⋊Q8C2211yescharacteristic
66C22×C4⋊Q8C2211yescharacteristic
67C2×#529C2211yescharacteristic
68C22×#125C2212yes—
69C2×#525C2212yes—
70C22×C22⋊Q8C2212yes—
71C22×C22⋊Q8C2212yes—
72C22×C4×Q8C2212yes—
73C22×C4×Q8C2212yes—
74C22×#117C2212yes—
75C23×C42C2211yescharacteristic
76#2857C2211yescharacteristic
77#2857C2211yescharacteristic
78#2856C2211yescharacteristic
79#2856C2211yescharacteristic
80#2855C2211yescharacteristic
81#2854C2211yescharacteristic
82#2854C2211yescharacteristic
83#2854C2212yes—
84#2854C2211yescharacteristic
85#2853C2212yes—
86#2852C2212yes—
87#2852C2212yes—
88#2852C2214yes—
89#2851C2211yescharacteristic
90#2851C2211yescharacteristic
91#2850C2211yescharacteristic
92#2850C2211yescharacteristic
93#2850C2212yes—
94#2850C2212yes—
95#2850C2214yes—
96#2849C2212yes—
97#2848C2211yescharacteristic
98#2847C2211yescharacteristic
99#2847C2211yescharacteristic
100#2847C2212yes—
101#2847C2211yescharacteristic
102#2816C2214yes—
103#2814C2214yes—
104#2732C2214yes—
105#2731C2214yescomplemented
106#2730C2214yes—
107#2729C2214yescomplemented
108#2726C2214yescomplemented
109#2720C2214yescomplemented
110#2713C2214yescomplemented
111#2711C2214yescomplemented
112#2711C2214yescomplemented
113#2707C2214yescomplemented
114#2707C2214yescomplemented
115#2704C2214yes—
116#2704C2214yescomplemented
117#2700C2214yes—
118#2696C2214yes—
119#2692C2214yes—
120#2692C2214yes—
121#2687C2214yes—
122#2683C2214yes—
123#2681C2214yes—
124#2681C2214yes—
125#2681C2214yes—
126#2681C2214yes—
127#2680C2214yes—
128#2677C2214yes—
129#2677C2214yescomplemented
130#2676C2214yes—
131#2676C2214yes—
132#2674C2214yes—
133#2674C2214yescomplemented
134#2672C2214yes—
135#2672C2214yes—
136#2660C2212yescomplemented
137#2641C2212yescomplemented
138#2637C2214yescomplemented
139#2637C2214yescomplemented
140#2632C2214yescomplemented
141#2632C2214yescomplemented
142#2629C2212yescomplemented
143#2629C2212yescomplemented
144#2621C2212yes—
145#2620C2212yes—
146#2616C2212yes—
147#2616C2212yes—
148#2610C2214yes—
149#2609C2214yes—
150#2604C2214yescomplemented
151#2601C2214yes—
152#2599C2214yescomplemented
153#2598C2214yes—
154#2567C2211yescharacteristic, complemented
155#2565C2212yescomplemented
156#2563C2211yescharacteristic, complemented
157#2563C2211yescharacteristic, complemented
158#2563C2211yescharacteristic, complemented
159#2552C2212yescomplemented
160#2551C2212yescomplemented
161#2550C2212yescomplemented
162#2550C2212yescomplemented
163#2547C2211yescharacteristic, complemented
164#2546C2211yescharacteristic, complemented
165#2545C2212yescomplemented
166#2545C2214yescomplemented
167#2542C2212yes—
168#2542C2211yescharacteristic, complemented
169#2542C2211yescharacteristic, complemented
170#2540C2212yes—
171#2538C2212yes—
172#2536C2212yes—
173#2536C2212yescomplemented
174#2536C2212yescomplemented
175#2536C2214yescomplemented
176#2500C2212yes—
177#2500C2212yes—
178#2492C2212yescomplemented
179#2491C2212yescomplemented
180#2491C2212yescomplemented
181#2491C2212yescomplemented
182#2490C2212yescomplemented
183#2490C2212yescomplemented
184#2485C2212yes—
185#2485C2212yes—
186#2476C2214yes—
187#2476C2214yes—
188#2474C2214yes—
189#2473C2214yes—
190#2472C2214yes—
191#2470C2214yes—
192#2465C2214yescomplemented
193#2465C2214yescomplemented
194#2462C2214yescomplemented
195#2458C2214yescomplemented
196#2458C2214yescomplemented
197#2458C2214yescomplemented
198#2454C2212yescomplemented
199#2454C2212yescomplemented
200#2452C2212yescomplemented
201#2452C2212yescomplemented
202#2451C2214yescomplemented
203#2449C2214yes—
204#2449C2214yes—
205#2448C2214yescomplemented
206#2443C2214yes—
207#2443C2214yes—
208#2443C2214yes—
209#2442C2212yes—
210#2442C2212yescomplemented
211#2441C2212yes—
212#2441C2212yescomplemented
213#2440C2214yes—
214#2440C2212yes—
215#2440C2212yescomplemented
216#2440C2212yescomplemented
217#2439C2212yes—
218#2439C2212yescomplemented
219#2439C2212yescomplemented
220#2436C2214yes—
221#2434C2212yescomplemented
222#2432C2212yescomplemented
223#2429C2214yescomplemented
224#2429C2212yescomplemented
225#2429C2212yescomplemented
226#2429C2212yescomplemented
227#2426C2214yescomplemented
228#2426C2214yescomplemented
229#2426C2212yescomplemented
230#2424C2214yes—
231#2424C2214yes—
232#2423C2212yescomplemented
233#2423C2214yescomplemented
234#2421C2212yescomplemented
235#2418C2214yes—
236#2417C2212yes—
237#2417C2212yes—
238#2417C2214yes—
239#2416C2214yes—
240#2416C2212yes—
241#2416C2214yes—
242#2416C2212yes—
243#2416C2212yes—
244#2415C2212yes—
245#2414C2212yes—
246#2414C2212yes—
247#2409C2214yes—
248#2409C2212yes—
249#2409C2212yes—
250#2409C2212yes—
251#2407C2212yes—
252#2378C2214yes—
253#2369C2211yescharacteristic, complemented
254#2369C2211yescharacteristic, complemented
255#2365C2211yescharacteristic, complemented
256#2365C2211yescharacteristic, complemented
257#2363C2212yes—
258#2363C2212yes—
259#2362C2212yescomplemented
260#2361C2212yes—
261#2361C2212yes—
262#2360C2212yescomplemented
263#2356C2212yescomplemented
264#2354C2212yes—
265#2352C2212yes—
266#2352C2212yes—
267#2352C2212yes—
268#2351C2212yescomplemented
269D4×C4⋊C4C2212yes—
270D4×C4⋊C4C2212yes—
271#2347C2212yes—
272#2346C2212yes—
273#2341C2212yescomplemented
274Q8×C22⋊C4C2212yescomplemented
275#2330C2212yescomplemented
276#2330C2212yescomplemented
277#2326C2214yescomplemented
278#2323C2212yes—
279#2323C2212yes—
280#2323C2214yescomplemented
281#2320C2214yescomplemented
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×#123C2212yes—
285C4×#121C2211yescharacteristic
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2212yes—
292C4×#121C2211yescharacteristic
293C4×#121C2214yes—
294C4×#120C2212yes—
295#2297C2212yes—
296#2290C2212yes—
297#2290C2212yes—
298#2290C2214yes—
299#2285C2211yescharacteristic
300#2283C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×Q8C2312yes—
304C23×Q8C2312yes—
305C23×Q8C2312yes—
306C24×C4C2311yescharacteristic
307C24×C4C2311yescharacteristic
308C24×C4C2311yescharacteristic
309#562—232no—
310#555—28no—
311#555—216no—
312#554—28no—
313#553—216no—
314#552—216no—
315D4×Q8—28no—
316D4×Q8—48no—
317#548—216no—
318#548—48no—
319#547—28no—
320#544—216no—
321#542—232no—
322#540—216no—
323#537—216no—
324#536—216no—
325#533—28no—
326#533—28no—
327#533—216no—
328#533—216no—
329#533—216no—
330#533—216no—
331#533—216no—
332#533—216no—
333#533—28no—
334#533D4116yescomplemented
335#532—28no—
336C2×C4⋊Q8—28no—
337C2×C4⋊Q8—28no—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2314yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2314yes—
351C2×C4⋊Q8C2311yescharacteristic
352C2×C4⋊Q8C2311yescharacteristic
353C2×#127C2311yescharacteristic
354#529—28no—
355C2×#126C2312yes—
356C2×#126C2314yes—
357C2×#125—216no—
358C2×#125C2311yescharacteristic
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2312yes—
365C2×#125C2314yes—
366C2×#125C2312yes—
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2314yes—
370C2×#124C2314yes—
371C2×#124C2314yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#124C2314yes—
375#525—48no—
376C2×#123C2312yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×C22⋊Q8—216no—
385C2×C22⋊Q8—216no—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×#121C2312yes—
419C2×#121C2311yescharacteristic
420C2×#121C2311yescharacteristic
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2311yescharacteristic
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2314yes—
433C2×#121C2314yes—
434C2×#121C2311yescharacteristic
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2314yes—
440C2×#121C2314yes—
441C2×#120C2312yes—
442C2×#120C2312yes—
443C2×#120C2312yes—
444C2×C4×Q8—216no—
445C2×C4×Q8—216no—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2314yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2314yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2314yes—
455C2×C4×Q8C2314yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2314yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×#117—216no—
479C2×#117C2314yes—
480C2×#117C2314yes—
481C2×#117C2312yes—
482C2×#117C2312yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2314yes—
487C2×#117C2312yes—
488C2×#117C2312yes—
489C2×#117C2312yes—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2312yes—
494C22×C4⋊C4C2312yes—
495C22×C4⋊C4C2314yes—
496C22×C4⋊C4C2314yes—
497C22×C4⋊C4C2312yes—
498C22×C22⋊C4C2314yes—
499C22×C42—28no—
500C22×C42C2311yescharacteristic
501C22×C42C2311yescharacteristic
502C22×C42C2311yescharacteristic
503C22×C42C2311yescharacteristic
504C22×C42C2314yes—
505C22×C42C2311yescharacteristic
506C22×C42C2311yescharacteristic
507C22×C42C2311yescharacteristic
508C22×C42C2311yescharacteristic
509C22×C42C2311yescharacteristic
510C22×C42C2311yescharacteristic
511C22×C42C2311yescharacteristic
512C22×C42C2311yescharacteristic
513#400C2314yes—
514#400C2314yes—
515#399C2314yes—
516#399C2314yes—
517#399C2314yes—
518#399C2314yes—
519#399C2314yes—
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#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#395C2314yes—
556#395C2314yes—
557#395C2314yes—
558#395C2314yes—
559#395C2314yes—
560#395C2314yes—
561#395C2314yes—
562#395C2314yes—
563#395C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#393C2314yes—
583#393C2314yes—
584#393C2314yes—
585#393C2314yes—
586#393C2314yes—
587#393C2314yes—
588#393C2314yes—
589#393C2314yes—
590#393C2314yes—
591#392C2314yes—
592#392C2314yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2314yes—
597#391C2314yes—
598#391C2312yes—
599#391C2312yes—
600#391C2314yes—
601#391C2314yes—
602#391C2311yescharacteristic
603#391C2314yes—
604#391C2311yescharacteristic
605#391C2312yes—
606#391C2312yes—
607#391C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2311yescharacteristic
613#390C2314yes—
614#390C2311yescharacteristic
615#390C2312yes—
616#390C2312yes—
617#390C2314yes—
618#390C2312yes—
619#390C2312yes—
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#390C2311yescharacteristic
623#390C2311yescharacteristic
624#390C2314yes—
625#390C2314yes—
626#390C2314yes—
627#390C2312yes—
628#390C2312yes—
629#390C2314yes—
630#389C2312yes—
631#389C2312yes—
632#389C2314yes—
633#389C2314yes—
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2314yes—
638#389C2314yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2314yes—
644#389C2314yes—
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2312yes—
655#389C2314yes—
656#389C2314yes—
657#389C2314yes—
658#389C2312yes—
659#389C2312yes—
660#389C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2314yes—
683#388C2314yes—
684#388C2312yes—
685#388C2312yes—
686#388C2312yes—
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#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2312yes—
708#387C2314yes—
709#387C2314yes—
710#387C2312yes—
711#387C2312yes—
712#387C2312yes—
713#387C2312yes—
714#387C2312yes—
715#387C2312yes—
716#387C2312yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#386C2312yes—
735#386C2312yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2312yes—
741#386C2312yes—
742#386C2312yes—
743#386C2312yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2312yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2312yes—
758#385C2312yes—
759#385C2312yes—
760#385C2312yes—
761#385C2312yes—
762#385C2312yes—
763#385C2312yes—
764#385C2312yes—
765#385C2312yes—
766#385C2314yes—
767#385C2314yes—
768#385C2312yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#384C2312yes—
776#384C2314yes—
777#384C2311yescharacteristic
778#384C2311yescharacteristic
779#384C2312yes—
780#384C2312yes—
781#383C2312yes—
782#383C2314yes—
783#382C2312yes—
784#382C2312yes—
785#382C2312yes—
786#382C2312yes—
787#382C2314yes—
788#382C2311yescharacteristic
789#382C2311yescharacteristic
790#381C2312yes—
791#381C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2312yes—
796#380C2312yes—
797#380C2312yes—
798#380C2311yescharacteristic
799#380C2311yescharacteristic
800#380C2314yes—
801#380C2311yescharacteristic
802#380C2311yescharacteristic
803#380C2311yescharacteristic
804#380C2311yescharacteristic
805#380C2312yes—
806#380C2311yescharacteristic
807#380C2311yescharacteristic
808#380C2311yescharacteristic
809#380C2311yescharacteristic
810#380C2312yes—
811#380C2312yes—
812#380C2311yescharacteristic
813#380C2311yescharacteristic
814#380C2314yes—
815#380C2314yes—
816#380C2312yes—
817#380C2312yes—
818#380C2314yes—
819#379C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2314yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848#376C2314yes—
849#376C2312yes—
850C25C2411yescharacteristic
851C2×#41—28no—
852C2×#41—28no—
853C2×#41—44no—
854C2×#41—44no—
855C2×#41—44no—
856C2×#41—44no—
857C22×Q8—28no—
858C22×Q8—28no—
859C22×Q8—28no—
860C22×Q8—28no—
861C22×Q8—44no—
862C22×Q8—44no—
863C22×Q8—44no—
864C22×Q8—44no—
865C22×Q8—44no—
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2414yes—
869C22×Q8C2414yes—
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2412yes—
873C22×Q8C2414yes—
874C22×Q8C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C23×C4—24no—
892C23×C4—24no—
893C23×C4—24no—
894C23×C4—24no—
895C23×C4—24no—
896C23×C4—24no—
897C23×C4—42no—
898C23×C4—42no—
899C23×C4—42no—
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2412yes—
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2414yes—
909C23×C4C2414yes—
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2414yes—
922C23×C4C2414yes—
923C23×C4C2414yes—
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C4⋊Q8—28no—
927C4⋊Q8—28no—
928C4⋊Q8—28no—
929C4⋊Q8—28no—
930C4⋊Q8—28no—
931C4⋊Q8—28no—
932C4⋊Q8—216no—
933C4⋊Q8—28no—
934C4⋊Q8—24no—
935C4⋊Q8—24no—
936C4⋊Q8—24no—
937C4⋊Q8—44no—
938C4⋊Q8—48no—
939C4⋊Q8C2×D418yes—
940C4⋊Q8C2×D418yes—
941#127—24no—
942#126—28no—
943#126—216no—
944#125—216no—
945#125—216no—
946#125—28no—
947#125—28no—
948#125—216no—
949#125—28no—
950#125—28no—
951#125—24no—
952#125C2×D4116yes—
953#124—216no—
954#124—216no—
955#124—24no—
956#124—28no—
957#124—216no—
958#124—44no—
959#124—48no—
960#124—48no—
961#123—28no—
962#123—216no—
963#123—216no—
964#123—216no—
965#123—216no—
966#123—44no—
967#123—44no—
968#123—44no—
969C22⋊Q8—28no—
970C22⋊Q8—28no—
971C22⋊Q8—28no—
972C22⋊Q8—28no—
973C22⋊Q8—216no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—24no—
977C22⋊Q8—24no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—216no—
981C22⋊Q8—216no—
982C22⋊Q8—28no—
983C22⋊Q8—216no—
984C22⋊Q8—216no—
985C22⋊Q8—216no—
986C22⋊Q8—216no—
987C22⋊Q8—216no—
988C22⋊Q8—44no—
989C22⋊Q8—48no—
990C22⋊Q8—48no—
991C22⋊Q8—48no—
992C22⋊Q8—48no—
993C22⋊Q8—44no—
994C22⋊Q8—44no—
995C22⋊Q8—42no—
996C22⋊Q8—44no—
997C22⋊Q8—44no—
998C22⋊Q8—44no—
999C22⋊Q8C2×D4116yes—
1000C22⋊Q8C2×D4116yes—
1001#121—24no—
1002#121—24no—
1003#121—24no—
1004#121—28no—
1005#121—24no—
1006#121—24no—
1007#121—24no—
1008#121—24no—
1009#121—24no—
1010#121—216no—
1011#121—28no—
1012#121—28no—
1013#121—216no—
1014#121—28no—
1015#121—216no—
1016#121—216no—
1017#121—44no—
1018#121—44no—
1019#121—42no—
1020#121—48no—
1021#121—44no—
1022#121—44no—
1023#121—48no—
1024#120—44no—
1025#120—44no—
1026#120—44no—
1027C4×Q8—28no—
1028C4×Q8—28no—
1029C4×Q8—28no—
1030C4×Q8—28no—
1031C4×Q8—216no—
1032C4×Q8—216no—
1033C4×Q8—216no—
1034C4×Q8—216no—
1035C4×Q8—28no—
1036C4×Q8—28no—
1037C4×Q8—24no—
1038C4×Q8—44no—
1039C4×Q8—44no—
1040C4×Q8C2×D4116yes—
1041C4×Q8C2×D4116yes—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—28no—
1052C4×D4—24no—
1053C4×D4—216no—
1054C4×D4—44no—
1055C4×D4—44no—
1056C4×D4—48no—
1057C4×D4—48no—
1058C4×D4—48no—
1059#117—28no—
1060#117—28no—
1061#117—28no—
1062#117—28no—
1063#117—28no—
1064#117—216no—
1065#117—216no—
1066#117—28no—
1067#117—216no—
1068#117—44no—
1069#117C2×D4116yes—
1070C2×C4⋊C4—28no—
1071C2×C4⋊C4—28no—
1072C2×C4⋊C4—216no—
1073C2×C4⋊C4—216no—
1074C2×C4⋊C4—28no—
1075C2×C4⋊C4—28no—
1076C2×C4⋊C4—28no—
1077C2×C4⋊C4—28no—
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C22⋊C4—216no—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C42—24no—
1209C2×C42—24no—
1210C2×C42—24no—
1211C2×C42—216no—
1212C2×C42—24no—
1213C2×C42—24no—
1214C2×C42—24no—
1215C2×C42—24no—
1216C2×C42—24no—
1217C2×C42—24no—
1218C2×C42—24no—
1219C2×C42—24no—
1220C2×C42C2×D418yes—
1221C2×C42C2414yes—
1222C2×C42C2414yes—
1223C2×C42C2414yes—
1224C2×C42C2414yes—
1225C2×C42C2412yes—
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235C2×C42C2411yescharacteristic
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2414yes—
1243C2×C42C2414yes—
1244C2×C42C2414yes—
1245C2×C42C2414yes—
1246C2×C42C2414yes—
1247C2×C42C2411yescharacteristic
1248C2×C42C2411yescharacteristic
1249C2×C42C2411yescharacteristic
1250C2×C42C2411yescharacteristic
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303C24—22no—
1304C24—22no—
1305C24—22no—
1306C24—22no—
1307C24—22no—
1308C24—41no—
1309C24—41no—
1310C24C2512yes—
1311C24C2512yes—
1312C24C2512yes—
1313C24C2511yescharacteristic
1314C24C2511yescharacteristic
1315C24C2511yescharacteristic
1316#41—816no—
1317#41—816no—
1318C2×Q8—28no—
1319C2×Q8—28no—
1320C2×Q8—24no—
1321C2×Q8—24no—
1322C2×Q8—22no—
1323C2×Q8—28no—
1324C2×Q8—24no—
1325C2×Q8—24no—
1326C2×Q8—22no—
1327C2×Q8—28no—
1328C2×Q8—24no—
1329C2×Q8—24no—
1330C2×Q8—24no—
1331C2×Q8—28no—
1332C2×Q8—22no—
1333C2×Q8—42no—
1334C2×Q8—44no—
1335C2×Q8—42no—
1336C2×Q8—44no—
1337C2×Q8—42no—
1338C2×Q8—42no—
1339C2×Q8—42no—
1340C2×Q8—44no—
1341C2×Q8—44no—
1342C2×Q8—42no—
1343C2×Q8—432no—
1344C2×Q8—432no—
1345C2×Q8—816no—
1346C2×Q8C22×D418yes—
1347C2×Q8C22×D418yes—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—24no—
1355C2×D4—24no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—22no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—28no—
1367C2×D4—24no—
1368C2×D4—28no—
1369C2×D4—24no—
1370C2×D4—22no—
1371C2×D4—22no—
1372C2×D4—22no—
1373C2×D4—22no—
1374C2×D4—22no—
1375C2×D4—22no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—44no—
1392C2×D4—42no—
1393C2×D4—44no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C22×C4—232no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—22no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—28no—
1422C22×C4—22no—
1423C22×C4—28no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—28no—
1432C22×C4—28no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—22no—
1448C22×C4—28no—
1449C22×C4—28no—
1450C22×C4—28no—
1451C22×C4—41no—
1452C22×C4—41no—
1453C22×C4—41no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—41no—
1457C22×C4—41no—
1458C22×C4—41no—
1459C22×C4—41no—
1460C22×C4—41no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—416no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—416no—
1471C22×C4C22×D414yes—
1472C22×C4C22×D414yes—
1473C22×C4C22×D414yes—
1474C22×C4H(5,𝔽2)14yes—
1475C22×C42−1+414yes—
1476C22×C42−1+414yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2512yes—
1480C22×C4C2512yes—
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2511yescharacteristic
1487C22×C4C2514yes—
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2512yes—
1491C22×C4C2512yes—
1492C22×C4C2511yescharacteristic
1493C22×C4C2514yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C22×C4C2514yes—
1497C22×C4C2514yes—
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C22×C4C2511yescharacteristic
1502C22×C4C2511yescharacteristic
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C4⋊C4—22no—
1507C4⋊C4—22no—
1508C4⋊C4—28no—
1509C4⋊C4—28no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—28no—
1513C4⋊C4—28no—
1514C4⋊C4—28no—
1515C4⋊C4—28no—
1516C4⋊C4—28no—
1517C4⋊C4—28no—
1518C4⋊C4—28no—
1519C4⋊C4—28no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—28no—
1523C4⋊C4—28no—
1524C4⋊C4—22no—
1525C4⋊C4—22no—
1526C4⋊C4—24no—
1527C4⋊C4—28no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—28no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—22no—
1536C4⋊C4—22no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—22no—
1545C4⋊C4—22no—
1546C4⋊C4—24no—
1547C4⋊C4—42no—
1548C4⋊C4—42no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—42no—
1558C4⋊C4—42no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—42no—
1562C4⋊C4—44no—
1563C4⋊C4—44no—
1564C4⋊C4—44no—
1565C4⋊C4—44no—
1566C4⋊C4—42no—
1567C4⋊C4C22×D418yes—
1568C4⋊C4C22×D418yes—
1569C4⋊C4C22×D418yes—
1570C4⋊C4C22×D4116yes—
1571C4⋊C4C22×D4116yes—
1572C4⋊C4C22×D418yes—
1573C22⋊C4—28no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—28no—
1582C22⋊C4—28no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—28no—
1587C22⋊C4—28no—
1588C22⋊C4—28no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—28no—
1592C22⋊C4—24no—
1593C22⋊C4—28no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—42no—
1609C22⋊C4—42no—
1610C22⋊C4—44no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—42no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4—44no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—42no—
1629C22⋊C4—44no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4C22×D4116yes—
1635C42—22no—
1636C42—22no—
1637C42—22no—
1638C42—22no—
1639C42—22no—
1640C42—22no—
1641C42—22no—
1642C42—22no—
1643C42—22no—
1644C42—22no—
1645C42—22no—
1646C42—22no—
1647C42—28no—
1648C42—28no—
1649C42—28no—
1650C42—28no—
1651C42—24no—
1652C42—24no—
1653C42—24no—
1654C42—24no—
1655C42—24no—
1656C42—44no—
1657C42—44no—
1658C42—44no—
1659C42—44no—
1660C42C22×D414yes—
1661C42C22×D414yes—
1662C42C22×D414yes—
1663C42C22×D414yes—
1664C42C22×D4116yes—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—28no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23—22no—
1687C23—22no—
1688C23—22no—
1689C23—22no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—22no—
1694C23—22no—
1695C23—22no—
1696C23—22no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—44no—
1704C23—44no—
1705C23—44no—
1706C23—44no—
1707C23—44no—
1708C23—44no—
1709C23C23×D412yes—
1710C23C2×H(5,𝔽2)12yes—
1711C23C2×2−1+412yes—
1712C23C2×2−1+412yes—
1713C23#58512yes—
1714C23C2611yescharacteristic
1715Q8—216no—
1716Q8—48no—
1717Q8—416no—
1718Q8—416no—
1719Q8—48no—
1720Q8—48no—
1721Q8—44no—
1722Q8—88no—
1723Q8—84no—
1724D4—48no—
1725D4—48no—
1726D4—48no—
1727D4—44no—
1728D4—44no—
1729D4—44no—
1730D4—84no—
1731D4—88no—
1732D4—84no—
1733D4—88no—
1734D4—84no—
1735D4—84no—
1736D4—84no—
1737D4—84no—
1738D4—84no—
1739D4—84no—
1740C2×C4—28no—
1741C2×C4—28no—
1742C2×C4—28no—
1743C2×C4—28no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—24no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—24no—
1755C2×C4—24no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—24no—
1764C2×C4—28no—
1765C2×C4—28no—
1766C2×C4—28no—
1767C2×C4—28no—
1768C2×C4—28no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—24no—
1774C2×C4—24no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—24no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—24no—
1812C2×C4—24no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—24no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—44no—
1821C2×C4—44no—
1822C2×C4—44no—
1823C2×C4—44no—
1824C2×C4—44no—
1825C2×C4—44no—
1826C2×C4—44no—
1827C2×C4—416no—
1828C2×C4—416no—
1829C2×C4—44no—
1830C2×C4—48no—
1831C2×C4—44no—
1832C2×C4—48no—
1833C2×C4—48no—
1834C2×C4—88no—
1835C2×C4—88no—
1836C2×C4—88no—
1837C2×C4C23×D412yes—
1838C2×C4C23×D412yes—
1839C2×C4C23×D412yes—
1840C2×C4C23×D412yes—
1841C2×C4C23×D418yes—
1842C2×C4C23×D418yes—
1843C2×C4C23×D412yes—
1844C2×C4C23×D412yes—
1845C2×C4C2×H(5,𝔽2)12yes—
1846C2×C4C2×H(5,𝔽2)12yes—
1847C2×C4C2×2−1+412yes—
1848C2×C4C2×2−1+412yes—
1849C2×C4C2×2−1+412yes—
1850C2×C4C2×2−1+412yes—
1851C2×C4#58512yes—
1852C2×C4#58512yes—
1853C22—22no—
1854C22—22no—
1855C22—22no—
1856C22—22no—
1857C22—22no—
1858C22—22no—
1859C22—22no—
1860C22—22no—
1861C22—22no—
1862C22—22no—
1863C22—22no—
1864C22—22no—
1865C22—416no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—42no—
1875C22—42no—
1876C22—42no—
1877C22—42no—
1878C22—42no—
1879C22—42no—
1880C22—42no—
1881C22—42no—
1882C22—42no—
1883C22—42no—
1884C22—42no—
1885C22—42no—
1886C22—42no—
1887C22—42no—
1888C22—42no—
1889C22—42no—
1890C22—42no—
1891C22—42no—
1892C22—42no—
1893C22—42no—
1894C22—42no—
1895C22#354714yescomplemented
1896C22C24×D411yescharacteristic
1897C22C22×H(5,𝔽2)11yescharacteristic
1898C22C22×2−1+411yescharacteristic
1899C22C22×2−1+411yescharacteristic
1900C22C2×#58511yescharacteristic
1901C22C2×#58511yescharacteristic
1902C22C2×#58511yescharacteristic
1903C4—22no—
1904C4—22no—
1905C4—22no—
1906C4—22no—
1907C4—22no—
1908C4—28no—
1909C4—22no—
1910C4—22no—
1911C4—22no—
1912C4—28no—
1913C4—42no—
1914C4—42no—
1915C4—42no—
1916C4—42no—
1917C4—42no—
1918C4—41no—
1919C4—42no—
1920C4—42no—
1921C4—44no—
1922C4—42no—
1923C4—41no—
1924C4—44no—
1925C4—42no—
1926C4—42no—
1927C4—42no—
1928C4—42no—
1929C4—42no—
1930C4#348614yes—
1931C4#348814yes—
1932C2—24no—
1933C2—42no—
1934C2—42no—
1935C2—82no—
1936C2—82no—
1937C2—82no—
1938C2C2×#354711yescharacteristic
1939C2#6275211yescharacteristic
1940C2C2×#348611yescharacteristic
1941C2C2×#348811yescharacteristic
1942C2#6281111yescharacteristic
1943C2#6283511yescharacteristic
1944C2#6283811yescharacteristic
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×#533C2semidirect
3. #59136C2semidirect
4. #59135C2semidirect
5. #59127C2semidirect
6. #59125C2semidirect
7. #59052C2semidirect
8. #59050C2semidirect
9. #59036C2semidirect
10. #59034C2semidirect
11. #45762C2semidirect
12. #45445C2semidirect
13. #39891C2semidirect
14. #39878C2semidirect
15. #39866C2semidirect
16. #39854C2semidirect
17. #37783C2semidirect
18. #37781C2semidirect
19. #37710C2semidirect
20. #37706C2semidirect
21. #37690C2semidirect
22. #37687C2semidirect
23. #37651C2semidirect
24. #37649C2semidirect
25. #37634C2semidirect
26. #37633C2semidirect
27. #37260C2semidirect
28. #36624C2semidirect
29. #36621C2semidirect
30. #36438C2semidirect
31. #36434C2semidirect
32. #36235C2semidirect
33. #36232C2semidirect
34. #35243C2semidirect
35. #34394C2semidirect
39. C2×#555C22semidirect
40. C2×#554C22semidirect
42. C2×#552C22semidirect
44. C2×D4×Q8C22semidirect
46. C2×#548C22semidirect
47. C2×#547C22semidirect
48. C2×#544C22semidirect
49. C2×#542C22semidirect
50. C2×#540C22semidirect
105. #2731C22semidirect
107. #2729C22semidirect
108. #2726C22semidirect
109. #2720C22semidirect
110. #2713C22semidirect
111. #2711C22semidirect
112. #2711C22semidirect
113. #2707C22semidirect
114. #2707C22semidirect
116. #2704C22semidirect
129. #2677C22semidirect
133. #2674C22semidirect
136. #2660C22semidirect
137. #2641C22semidirect
138. #2637C22semidirect
139. #2637C22semidirect
140. #2632C22semidirect
141. #2632C22semidirect
142. #2629C22semidirect
143. #2629C22semidirect
150. #2604C22semidirect
152. #2599C22semidirect
154. #2567C22semidirect
155. #2565C22semidirect
156. #2563C22semidirect
157. #2563C22semidirect
158. #2563C22semidirect
159. #2552C22semidirect
160. #2551C22semidirect
161. #2550C22semidirect
162. #2550C22semidirect
163. #2547C22semidirect
164. #2546C22semidirect
165. #2545C22semidirect
166. #2545C22semidirect
168. #2542C22semidirect
169. #2542C22semidirect
173. #2536C22semidirect
174. #2536C22semidirect
175. #2536C22semidirect
178. #2492C22semidirect
179. #2491C22semidirect
180. #2491C22semidirect
181. #2491C22semidirect
182. #2490C22semidirect
183. #2490C22semidirect
192. #2465C22semidirect
193. #2465C22semidirect
194. #2462C22semidirect
195. #2458C22semidirect
196. #2458C22semidirect
197. #2458C22semidirect
198. #2454C22semidirect
199. #2454C22semidirect
200. #2452C22semidirect
201. #2452C22semidirect
202. #2451C22semidirect
205. #2448C22semidirect
210. #2442C22semidirect
212. #2441C22semidirect
215. #2440C22semidirect
216. #2440C22semidirect
218. #2439C22semidirect
219. #2439C22semidirect
221. #2434C22semidirect
222. #2432C22semidirect
223. #2429C22semidirect
224. #2429C22semidirect
225. #2429C22semidirect
226. #2429C22semidirect
227. #2426C22semidirect
228. #2426C22semidirect
229. #2426C22semidirect
232. #2423C22semidirect
233. #2423C22semidirect
234. #2421C22semidirect
253. #2369C22semidirect
254. #2369C22semidirect
255. #2365C22semidirect
256. #2365C22semidirect
259. #2362C22semidirect
262. #2360C22semidirect
263. #2356C22semidirect
268. #2351C22semidirect
273. #2341C22semidirect
274. Q8×C22⋊C4C22semidirect
275. #2330C22semidirect
276. #2330C22semidirect
277. #2326C22semidirect
280. #2323C22semidirect
281. #2320C22semidirect
334. #533D4semidirect
1895. 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×#5332
#591362
#591352
#591272
#591252
#590522
#590502
#590362
#590342
#457622
#454452
#398912
#398782
#398662
#398542
#377832
#377812
#377102
#377062
#376902
#376872
#376512
#376492
#376342
#376332
#372602
#366242
#366212
#364382
#364342
#362352
#362322
#352432
#343942