Finite Group Databasebeta

← #7678193

Subgroups — #7678193

Order 512.

6991 conjugacy classes of subgroups.

The subgroup lattice has 1904 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3509C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#59824C212yesmaximal, complemented
4#59658C212yesmaximal, complemented
5#59656C212yesmaximal, complemented
6#59444C212yesmaximal, complemented
7#59134C211yesmaximal, characteristic, complemented
8#59125C211yesmaximal, characteristic, complemented
9#59079C211yesmaximal, characteristic, complemented
10#59055C211yesmaximal, characteristic, complemented
11#59052C211yesmaximal, characteristic, complemented
12#59050C211yesmaximal, characteristic, complemented
13#59050C211yesmaximal, characteristic, complemented
14#59040C211yesmaximal, characteristic, complemented
15#45238C212yesmaximal, complemented
16#45237C212yesmaximal, complemented
17#45187C212yesmaximal, complemented
18#45093C212yesmaximal, complemented
19#43548C214yesmaximal, complemented
20#43545C214yesmaximal, complemented
21#39887C212yesmaximal, complemented
22#39863C212yesmaximal, complemented
23#39859C214yesmaximal, complemented
24#38378C214yesmaximal, complemented
25#36439C212yesmaximal, complemented
26#36234C212yesmaximal, complemented
27#35664C212yesmaximal, complemented
28#35638C212yesmaximal, complemented
29#35240C211yesmaximal, characteristic, complemented
30#35205C212yesmaximal, complemented
31#34979C211yesmaximal, characteristic, complemented
32#34909C211yesmaximal, characteristic, complemented
33#34293C212yesmaximal, complemented
34#34231C211yesmaximal, characteristic, complemented
35C4×#535C211yesmaximal, characteristic, complemented
36#3509—216no—
37C2×#557C2212yescomplemented
38C2×#557C2212yescomplemented
39#3475—216no—
40C2×#556C2212yes—
41C2×#556C2212yes—
42C2×#556C2211yescharacteristic
43C2×#555C2211yescharacteristic
44C2×#554C2211yescharacteristic
45C2×#553C2212yes—
46C2×#552C2212yes—
47C2×#552C2212yes—
48C2×#552C2212yes—
49C2×#552C2212yes—
50C2×#552C2212yescomplemented
51C2×#552C2212yescomplemented
52C2×#551C2214yes—
53C2×#548C2212yes—
54C2×#547C2211yescharacteristic
55C2×#546C2212yes—
56C2×#541C2212yes—
57C2×#541C2212yescomplemented
58C2×#536C2212yes—
59C2×#535C2211yescharacteristic
60C2×#533C2211yescharacteristic
61C2×#533C2211yescharacteristic
62C2×#533C2211yescharacteristic, complemented
63C2×#533C2211yescharacteristic, complemented
64C2×#533C2211yescharacteristic, complemented
65C22×C4⋊Q8C2211yescharacteristic, complemented
66C2×#529C2212yes—
67C2×#529C2214yes—
68C2×#525C2212yes—
69C2×#519C2212yescomplemented
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2212yes—
73C22×C4×D4C2211yescharacteristic
74C22×#117C2212yes—
75#2852C2214yescomplemented
76#2851C2214yescomplemented
77#2848C2212yes—
78#2848C2212yes—
79#2732C2214yescomplemented
80#2730C2214yescomplemented
81#2730C2214yescomplemented
82#2728C2214yescomplemented
83#2721C2214yescomplemented
84#2721C2214yescomplemented
85#2719C2214yescomplemented
86#2718C2214yes—
87#2718C2214yes—
88#2716C2214yescomplemented
89#2716C2214yescomplemented
90#2711C2214yes—
91#2710C2214yes—
92#2706C2214yes—
93#2694C2214yes—
94#2694C2214yescomplemented
95#2694C2214yescomplemented
96#2685C2214yes—
97#2685C2214yes—
98#2678C2214yes—
99#2674C2214yes—
100#2674C2214yescomplemented
101#2673C2214yes—
102#2670C2214yes—
103#2636C2214yescomplemented
104#2633C2214yes—
105#2633C2214yescomplemented
106#2611C2214yescomplemented
107#2611C2214yescomplemented
108#2609C2214yescomplemented
109#2603C2214yescomplemented
110#2601C2214yescomplemented
111#2600C2212yes—
112#2600C2212yes—
113#2599C2214yescomplemented
114#2599C2212yescomplemented
115#2598C2214yescomplemented
116#2598C2212yescomplemented
117#2581C2211yescharacteristic, complemented
118#2580C2211yescharacteristic, complemented
119#2580C2214yescomplemented
120#2568C2211yescharacteristic, complemented
121#2566C2214yescomplemented
122#2558C2214yes—
123#2558C2214yescomplemented
124#2554C2214yescomplemented
125#2554C2214yescomplemented
126#2552C2214yescomplemented
127#2552C2212yescomplemented
128#2550C2214yescomplemented
129#2547C2211yescharacteristic
130#2547C2211yescharacteristic
131#2547C2211yescharacteristic, complemented
132#2546C2211yescharacteristic, complemented
133#2545C2212yes—
134#2542C2211yescharacteristic
135#2542C2211yescharacteristic
136#2542C2212yescomplemented
137#2542C2212yescomplemented
138#2542C2211yescharacteristic, complemented
139#2540C2212yes—
140#2540C2212yescomplemented
141#2540C2212yescomplemented
142#2538C2212yescomplemented
143#2536C2212yes—
144#2536C2212yes—
145#2536C2211yescharacteristic, complemented
146#2535C2211yescharacteristic, complemented
147#2519C2214yescomplemented
148#2519C2214yescomplemented
149#2512C2214yescomplemented
150#2502C2212yes—
151#2499C2212yes—
152#2492C2212yescomplemented
153#2491C2214yes—
154#2491C2212yescomplemented
155#2490C2212yes—
156#2490C2214yes—
157#2490C2212yescomplemented
158#2489C2212yescomplemented
159#2489C2212yescomplemented
160#2485C2211yescharacteristic
161#2485C2211yescharacteristic
162#2482C2214yes—
163#2481C2214yescomplemented
164#2480C2214yes—
165#2480C2214yes—
166#2479C2214yescomplemented
167#2479C2214yescomplemented
168#2479C2214yescomplemented
169#2478C2214yes—
170#2478C2214yes—
171#2475C2214yescomplemented
172#2474C2214yes—
173#2472C2214yes—
174#2471C2214yescomplemented
175#2471C2214yescomplemented
176#2470C2214yes—
177#2469C2214yescomplemented
178#2467C2214yescomplemented
179#2460C2214yescomplemented
180#2458C2214yescomplemented
181#2454C2212yes—
182#2453C2212yescomplemented
183#2448C2212yes—
184#2448C2214yescomplemented
185#2448C2214yescomplemented
186#2446C2212yescomplemented
187#2445C2214yes—
188#2443C2214yescomplemented
189#2442C2212yescomplemented
190#2441C2212yescomplemented
191#2441C2212yescomplemented
192#2441C2212yescomplemented
193#2440C2212yescomplemented
194#2439C2212yescomplemented
195#2436C2212yes—
196#2435C2212yes—
197#2432C2212yes—
198#2432C2212yes—
199#2429C2212yescomplemented
200#2429C2212yescomplemented
201#2429C2212yescomplemented
202#2427C2212yes—
203#2426C2212yes—
204#2426C2212yes—
205#2426C2212yescomplemented
206#2426C2212yescomplemented
207#2423C2214yescomplemented
208#2423C2212yescomplemented
209#2423C2212yescomplemented
210#2421C2214yescomplemented
211#2418C2214yes—
212#2417C2212yescomplemented
213#2417C2212yescomplemented
214#2417C2212yescomplemented
215#2416C2212yescomplemented
216#2415C2212yes—
217#2415C2212yes—
218#2415C2212yescomplemented
219#2415C2212yescomplemented
220#2415C2212yescomplemented
221#2415C2212yescomplemented
222#2414C2212yes—
223#2414C2212yescomplemented
224#2409C2212yescomplemented
225#2407C2212yes—
226#2407C2211yescharacteristic
227#2407C2211yescharacteristic
228#2395C2214yes—
229#2395C2212yes—
230#2388C2212yes—
231#2369C2211yescharacteristic, complemented
232#2369C2211yescharacteristic, complemented
233#2367C2212yes—
234#2367C2214yescomplemented
235#2365C2211yescharacteristic, complemented
236#2365C2211yescharacteristic, complemented
237#2363C2212yes—
238#2363C2214yescomplemented
239#2362C2212yes—
240#2362C2212yes—
241#2362C2214yescomplemented
242#2362C2212yescomplemented
243#2362C2212yescomplemented
244#2362C2212yescomplemented
245#2360C2212yescomplemented
246#2360C2212yescomplemented
247#2356C2214yescomplemented
248#2354C2214yescomplemented
249#2354C2212yescomplemented
250#2354C2212yescomplemented
251#2352C2212yescomplemented
252#2352C2212yescomplemented
253Q8×C4⋊C4C2212yescomplemented
254D4×C4⋊C4C2212yescomplemented
255#2347C2212yes—
256#2346C2212yes—
257#2341C2212yes—
258Q8×C22⋊C4C2212yescomplemented
259#2332C2214yes—
260#2328C2212yes—
261#2326C2212yes—
262#2326C2212yes—
263#2326C2212yes—
264#2326C2214yescomplemented
265#2324C2211yescharacteristic
266#2324C2211yescharacteristic
267#2324C2211yescharacteristic
268#2324C2211yescharacteristic
269#2324C2214yescomplemented
270#2321C2212yes—
271#2321C2212yes—
272#2320C2212yescomplemented
273#2317C2211yescharacteristic
274#2311C2211yescharacteristic
275#2309C2211yescharacteristic
276C4×C4⋊Q8C2212yescomplemented
277C4×#127C2212yes—
278C4×#125C2212yescomplemented
279C4×#125C2212yescomplemented
280C4×#124C2212yes—
281C4×#124C2212yescomplemented
282C4×C22⋊Q8C2212yescomplemented
283C4×C22⋊Q8C2212yescomplemented
284C4×C22⋊Q8C2214yescomplemented
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic, complemented
292C4×#121C2211yescharacteristic, complemented
293C4×#120C2212yes—
294C4×#120C2212yes—
295#2290C2212yescomplemented
296#2290C2212yescomplemented
297#2290C2214yescomplemented
298#2283C2211yescharacteristic
299#2276C2212yescomplemented
300C4×#117C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C23×Q8C2312yes—
305C23×D4C2311yescharacteristic
306C24×C4C2312yes—
307#557—216no—
308#557—216no—
309#556—28no—
310#556—216no—
311#556—216no—
312#555—28no—
313#554—28no—
314#553—216no—
315#552—216no—
316#552—216no—
317#552—216no—
318#552—216no—
319#552—216no—
320#552—216no—
321#551—232no—
322#548—216no—
323#547—28no—
324#546—216no—
325#541—216no—
326#541—216no—
327#536—216no—
328#535—28no—
329#533—28no—
330#533—28no—
331#533—28no—
332#533—28no—
333#533D4116yescomplemented
334C2×C4⋊Q8—28no—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×#127C2312yes—
345#529—232no—
346#529—216no—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#125C2314yes—
355C2×#125C2312yes—
356C2×#125C2314yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2312yes—
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2312yes—
365C2×#124C2312yes—
366C2×#124C2312yes—
367C2×#124C2314yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373#525—216no—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×#121C2311yescharacteristic
404C2×#121C2311yescharacteristic
405C2×#121C2311yescharacteristic
406C2×#121C2314yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2314yes—
411C2×#121C2311yescharacteristic
412C2×#121C2311yescharacteristic
413C2×#121C2311yescharacteristic
414C2×#120C2312yes—
415C2×#120C2312yes—
416C2×#120C2314yes—
417#519—216no—
418C4×#41—216no—
419C4×#41—28no—
420C4×#41—28no—
421C2×C4×Q8C2311yescharacteristic
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2314yes—
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2314yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×D4—28no—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2314yes—
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2314yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2314yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×#117—216no—
469C2×#117C2311yescharacteristic
470C2×#117C2311yescharacteristic
471C2×#117C2311yescharacteristic
472C2×#117C2311yescharacteristic
473C2×#117C2314yes—
474C2×#117C2312yes—
475C2×#117C2314yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2314yes—
481C2×#117C2312yes—
482C2×#117C2314yes—
483C2×#117C2312yes—
484C2×#117C2311yescharacteristic
485C2×#117C2314yes—
486C2×#117C2312yes—
487C2×#117C2311yescharacteristic
488C2×#117C2312yes—
489C22×C4⋊C4C2311yescharacteristic
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2312yes—
494C22×C22⋊C4C2312yes—
495C22×C22⋊C4C2314yes—
496C22×C42C2314yes—
497C22×C42C2312yes—
498C22×C42C2311yescharacteristic
499C22×C42C2311yescharacteristic
500C22×C42C2311yescharacteristic
501#400C2314yes—
502#400C2312yes—
503#400C2314yes—
504#400C2314yes—
505#400C2314yes—
506#399C2312yes—
507#399C2314yes—
508#399C2314yes—
509#399C2314yes—
510#399C2314yes—
511#399C2314yes—
512#399C2314yes—
513#399C2314yes—
514#399C2314yes—
515#399C2314yes—
516#399C2314yes—
517#398C2312yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#397C2312yes—
529#397C2314yes—
530#397C2312yes—
531#397C2312yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
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#395C2312yes—
552#395C2314yes—
553#394C2312yes—
554#394C2314yes—
555#394C2312yes—
556#394C2312yes—
557#394C2312yes—
558#394C2312yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#393C2312yes—
572#393C2314yes—
573#393C2314yes—
574#393C2314yes—
575#392C2312yes—
576#392C2314yes—
577#392C2312yes—
578#392C2312yes—
579#392C2314yes—
580#392C2314yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2311yescharacteristic
589#391C2311yescharacteristic
590#391C2312yes—
591#391C2312yes—
592#391C2314yes—
593#391C2314yes—
594#391C2314yes—
595#391C2314yes—
596#391C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2311yescharacteristic
605#390C2311yescharacteristic
606#390C2311yescharacteristic
607#390C2312yes—
608#390C2314yes—
609#390C2314yes—
610#390C2314yes—
611#390C2314yes—
612#390C2314yes—
613#390C2311yescharacteristic
614#390C2311yescharacteristic
615#390C2314yes—
616#390C2314yes—
617#390C2312yes—
618#390C2312yes—
619#390C2314yes—
620#390C2314yes—
621#390C2314yes—
622#390C2314yes—
623#390C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2314yes—
629#389C2314yes—
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2311yescharacteristic
633#389C2311yescharacteristic
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2314yes—
640#389C2314yes—
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2314yes—
644#389C2314yes—
645#389C2314yes—
646#389C2314yes—
647#389C2312yes—
648#389C2314yes—
649#389C2314yes—
650#389C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2312yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2312yes—
700#387C2312yes—
701#387C2314yes—
702#387C2314yes—
703#387C2312yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2312yes—
710#387C2312yes—
711#387C2312yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#386C2314yes—
734#386C2314yes—
735#386C2312yes—
736#386C2312yes—
737#386C2314yes—
738#386C2314yes—
739#385C2312yes—
740#385C2312yes—
741#385C2314yes—
742#385C2314yes—
743#385C2312yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#385C2314yes—
749#385C2312yes—
750#385C2314yes—
751#385C2314yes—
752#385C2312yes—
753#385C2312yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2314yes—
761#385C2312yes—
762#385C2312yes—
763#385C2314yes—
764#385C2314yes—
765#384C2312yes—
766#384C2312yes—
767#384C2314yes—
768#384C2312yes—
769#384C2312yes—
770#384C2314yes—
771#383C2314yes—
772#383C2312yes—
773#382C2311yescharacteristic
774#382C2311yescharacteristic
775#382C2314yes—
776#382C2312yes—
777#382C2312yes—
778#382C2314yes—
779#381C2312yes—
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2311yescharacteristic
784#380C2314yes—
785#380C2311yescharacteristic
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2314yes—
792#380C2314yes—
793#380C2312yes—
794#380C2314yes—
795#380C2311yescharacteristic
796#380C2311yescharacteristic
797#380C2311yescharacteristic
798#380C2311yescharacteristic
799#380C2312yes—
800#379C2312yes—
801#379C2312yes—
802#379C2314yes—
803#379C2314yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2314yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2314yes—
812C4×C4⋊C4C2314yes—
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2314yes—
845#376C2312yes—
846#376C2312yes—
847#376C2314yes—
848C43C2312yes—
849C25C2412yes—
850C2×#41—28no—
851C2×#41—28no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—42no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—44no—
859C22×Q8—28no—
860C22×Q8—28no—
861C22×Q8—44no—
862C22×Q8C2412yes—
863C22×Q8C2411yescharacteristic
864C22×Q8C2412yes—
865C22×Q8C2414yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×Q8C2412yes—
869C22×D4—24no—
870C22×D4—24no—
871C22×D4—42no—
872C22×D4C2411yescharacteristic
873C22×D4C2411yescharacteristic
874C22×D4C2411yescharacteristic
875C22×D4C2411yescharacteristic
876C22×D4C2414yes—
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2412yes—
881C22×D4C2414yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C23×C4—28no—
889C23×C4—44no—
890C23×C4—44no—
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2414yes—
898C23×C4C2414yes—
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2414yes—
904C23×C4C2411yescharacteristic
905C23×C4C2412yes—
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C4⋊Q8—28no—
912C4⋊Q8—28no—
913C4⋊Q8—28no—
914C4⋊Q8—216no—
915C4⋊Q8—24no—
916C4⋊Q8—24no—
917C4⋊Q8—44no—
918C4⋊Q8C2×D418yes—
919C4⋊Q8C2×D418yes—
920#127—28no—
921#126—216no—
922#126—216no—
923#126—216no—
924#126—216no—
925#126—216no—
926#126—216no—
927#126—216no—
928#125—216no—
929#125—28no—
930#125—28no—
931#125—28no—
932#125—28no—
933#125—216no—
934#125—216no—
935#125—216no—
936#125—28no—
937#125—216no—
938#125C2×D4116yes—
939#124—28no—
940#124—216no—
941#124—28no—
942#124—216no—
943#124—28no—
944#124—216no—
945#124—44no—
946#124—44no—
947#123—216no—
948#123—216no—
949#123—216no—
950#123—216no—
951#123—216no—
952#123—216no—
953C22⋊Q8—28no—
954C22⋊Q8—216no—
955C22⋊Q8—28no—
956C22⋊Q8—28no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—28no—
960C22⋊Q8—28no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—28no—
966C22⋊Q8—216no—
967C22⋊Q8—44no—
968C22⋊Q8—44no—
969C22⋊Q8—44no—
970C22⋊Q8—42no—
971C22⋊Q8—42no—
972C22⋊Q8—44no—
973C22⋊Q8—44no—
974C22⋊Q8C2×D4116yes—
975C22⋊Q8C2×D4116yes—
976#121—24no—
977#121—216no—
978#121—24no—
979#121—28no—
980#121—28no—
981#121—216no—
982#121—28no—
983#121—24no—
984#121—42no—
985#121—42no—
986#121#4118yescomplemented
987#120—28no—
988#120—216no—
989#120—28no—
990C4×Q8—28no—
991C4×Q8—28no—
992C4×Q8—28no—
993C4×Q8—28no—
994C4×Q8—28no—
995C4×Q8—216no—
996C4×Q8—28no—
997C4×Q8—28no—
998C4×Q8—28no—
999C4×Q8—24no—
1000C4×Q8—24no—
1001C4×Q8—24no—
1002C4×Q8—24no—
1003C4×Q8—28no—
1004C4×Q8—216no—
1005C4×Q8—28no—
1006C4×Q8—44no—
1007C4×Q8C2×D4116yes—
1008C4×Q8C2×D4116yes—
1009C4×D4—216no—
1010C4×D4—28no—
1011C4×D4—28no—
1012C4×D4—24no—
1013C4×D4—24no—
1014C4×D4—24no—
1015C4×D4—24no—
1016C4×D4—28no—
1017C4×D4—28no—
1018C4×D4—216no—
1019C4×D4—24no—
1020C4×D4—24no—
1021C4×D4—28no—
1022C4×D4—24no—
1023C4×D4—28no—
1024C4×D4—24no—
1025C4×D4—216no—
1026C4×D4—24no—
1027C4×D4—24no—
1028C4×D4—24no—
1029C4×D4—24no—
1030C4×D4—216no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—44no—
1034C4×D4—44no—
1035C4×D4—44no—
1036#117—24no—
1037#117—24no—
1038#117—28no—
1039#117—28no—
1040#117—28no—
1041#117—216no—
1042#117—28no—
1043#117—28no—
1044#117—216no—
1045#117—28no—
1046#117—28no—
1047#117—24no—
1048#117—216no—
1049#117—216no—
1050#117—24no—
1051#117—28no—
1052#117—24no—
1053#117—216no—
1054#117—42no—
1055#117C2×D4116yes—
1056C2×C4⋊C4—24no—
1057C2×C4⋊C4—28no—
1058C2×C4⋊C4—28no—
1059C2×C4⋊C4—28no—
1060C2×C4⋊C4—28no—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C22⋊C4—28no—
1129C2×C22⋊C4—216no—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2411yescharacteristic
1145C2×C22⋊C4C2411yescharacteristic
1146C2×C22⋊C4C2411yescharacteristic
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C42—216no—
1199C2×C42—28no—
1200C2×C42—24no—
1201C2×C42—24no—
1202C2×C42C2×D418yes—
1203C2×C42C2414yes—
1204C2×C42C2412yes—
1205C2×C42C2414yes—
1206C2×C42C2412yes—
1207C2×C42C2411yescharacteristic
1208C2×C42C2414yes—
1209C2×C42C2414yes—
1210C2×C42C2414yes—
1211C2×C42C2411yescharacteristic
1212C2×C42C2414yes—
1213C2×C42C2412yes—
1214C2×C42C2412yes—
1215C2×C42C2412yes—
1216C2×C42C2412yes—
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2412yes—
1222C2×C42C2412yes—
1223C2×C42C2414yes—
1224C2×C42C2412yes—
1225C2×C42C2414yes—
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2414yes—
1229C2×C42C2414yes—
1230C2×C42C2414yes—
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2411yescharacteristic
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2414yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2414yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287C24—24no—
1288C24—24no—
1289C24—42no—
1290C24—42no—
1291C24—42no—
1292C24—42no—
1293C24—42no—
1294C24C2512yes—
1295C24C2511yescharacteristic
1296C24C2512yes—
1297C24C2511yescharacteristic
1298C24C2512yes—
1299C24C2511yescharacteristic
1300#41—416no—
1301#41—416no—
1302#41—432no—
1303C2×Q8—24no—
1304C2×Q8—22no—
1305C2×Q8—24no—
1306C2×Q8—28no—
1307C2×Q8—22no—
1308C2×Q8—24no—
1309C2×Q8—28no—
1310C2×Q8—24no—
1311C2×Q8—22no—
1312C2×Q8—24no—
1313C2×Q8—24no—
1314C2×Q8—24no—
1315C2×Q8—22no—
1316C2×Q8—24no—
1317C2×Q8—22no—
1318C2×Q8—44no—
1319C2×Q8—42no—
1320C2×Q8—42no—
1321C2×Q8—41no—
1322C2×Q8—432no—
1323C2×Q8C22×D418yes—
1324C2×Q8C22×D418yes—
1325C2×D4—24no—
1326C2×D4—22no—
1327C2×D4—22no—
1328C2×D4—22no—
1329C2×D4—28no—
1330C2×D4—24no—
1331C2×D4—22no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—24no—
1335C2×D4—22no—
1336C2×D4—28no—
1337C2×D4—22no—
1338C2×D4—24no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—28no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—24no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—416no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—41no—
1354C2×D4—44no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—42no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4C2×#4114yes—
1373C2×D4C2×#4118yes—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—24no—
1381C22×C4—28no—
1382C22×C4—28no—
1383C22×C4—24no—
1384C22×C4—28no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—22no—
1392C22×C4—28no—
1393C22×C4—24no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—28no—
1409C22×C4—24no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—41no—
1417C22×C4—41no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—41no—
1421C22×C4—41no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—432no—
1431C22×C4C22×D414yes—
1432C22×C4C22×D414yes—
1433C22×C4C22×D414yes—
1434C22×C4C2×#4114yes—
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2512yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2512yes—
1442C22×C4C2512yes—
1443C22×C4C2511yescharacteristic
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2511yescharacteristic
1447C22×C4C2514yes—
1448C22×C4C2512yes—
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2511yescharacteristic
1452C22×C4C2514yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2514yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2514yes—
1460C22×C4C2512yes—
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C4⋊C4—22no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—28no—
1468C4⋊C4—28no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—22no—
1472C4⋊C4—24no—
1473C4⋊C4—28no—
1474C4⋊C4—28no—
1475C4⋊C4—24no—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—24no—
1479C4⋊C4—28no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—28no—
1487C4⋊C4—28no—
1488C4⋊C4—28no—
1489C4⋊C4—28no—
1490C4⋊C4—28no—
1491C4⋊C4—28no—
1492C4⋊C4—28no—
1493C4⋊C4—28no—
1494C4⋊C4—28no—
1495C4⋊C4—22no—
1496C4⋊C4—24no—
1497C4⋊C4—28no—
1498C4⋊C4—28no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—22no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4—44no—
1515C4⋊C4—44no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4C22×D418yes—
1525C4⋊C4C22×D418yes—
1526C4⋊C4C22×D418yes—
1527C4⋊C4C22×D418yes—
1528C4⋊C4C22×D4116yes—
1529C4⋊C4C22×D4116yes—
1530C4⋊C4C2×#4114yes—
1531C22⋊C4—24no—
1532C22⋊C4—22no—
1533C22⋊C4—22no—
1534C22⋊C4—28no—
1535C22⋊C4—24no—
1536C22⋊C4—28no—
1537C22⋊C4—24no—
1538C22⋊C4—28no—
1539C22⋊C4—24no—
1540C22⋊C4—28no—
1541C22⋊C4—28no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—28no—
1548C22⋊C4—28no—
1549C22⋊C4—24no—
1550C22⋊C4—28no—
1551C22⋊C4—24no—
1552C22⋊C4—22no—
1553C22⋊C4—22no—
1554C22⋊C4—28no—
1555C22⋊C4—28no—
1556C22⋊C4—28no—
1557C22⋊C4—28no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—24no—
1562C22⋊C4—28no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4C22×D4116yes—
1598C22⋊C4C2×#4118yes—
1599C42—24no—
1600C42—28no—
1601C42—28no—
1602C42—24no—
1603C42—22no—
1604C42—22no—
1605C42—24no—
1606C42—22no—
1607C42—22no—
1608C42—22no—
1609C42—22no—
1610C42—28no—
1611C42—28no—
1612C42—28no—
1613C42—28no—
1614C42—24no—
1615C42—28no—
1616C42—24no—
1617C42—24no—
1618C42—24no—
1619C42—24no—
1620C42—42no—
1621C42—44no—
1622C42—42no—
1623C42—44no—
1624C42—42no—
1625C42—44no—
1626C42C22×D414yes—
1627C42C22×D414yes—
1628C42C22×D4116yes—
1629C42C22×D414yes—
1630C42C22×D414yes—
1631C23—21no—
1632C23—22no—
1633C23—21no—
1634C23—21no—
1635C23—22no—
1636C23—22no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—22no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—22no—
1647C23—22no—
1648C23—21no—
1649C23—21no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—21no—
1655C23—21no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—21no—
1662C23—21no—
1663C23—22no—
1664C23—21no—
1665C23—22no—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—21no—
1670C23—48no—
1671C23—48no—
1672C23—84no—
1673C23—84no—
1674C23—84no—
1675C23—84no—
1676C23—84no—
1677C23C23×D412yes—
1678C23C22×#4114yes—
1679C23C22×#4112yes—
1680C23C2611yescharacteristic
1681Q8—216no—
1682Q8—48no—
1683Q8—416no—
1684Q8—44no—
1685Q8—48no—
1686Q8—48no—
1687Q8—44no—
1688D4—28no—
1689D4—48no—
1690D4—48no—
1691D4—44no—
1692D4—44no—
1693D4—416no—
1694D4—44no—
1695D4—48no—
1696D4—44no—
1697D4—44no—
1698D4—84no—
1699D4—88no—
1700D4—84no—
1701D4—84no—
1702D4—84no—
1703D4—84no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—24no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—24no—
1717C2×C4—24no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—28no—
1721C2×C4—28no—
1722C2×C4—28no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—24no—
1733C2×C4—21no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—24no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—24no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—24no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—44no—
1781C2×C4—416no—
1782C2×C4—416no—
1783C2×C4—44no—
1784C2×C4—44no—
1785C2×C4—48no—
1786C2×C4—48no—
1787C2×C4—48no—
1788C2×C4—48no—
1789C2×C4—48no—
1790C2×C4—44no—
1791C2×C4—44no—
1792C2×C4—44no—
1793C2×C4—48no—
1794C2×C4—48no—
1795C2×C4—84no—
1796C2×C4—88no—
1797C2×C4C23×D412yes—
1798C2×C4C23×D418yes—
1799C2×C4C23×D412yes—
1800C2×C4C23×D412yes—
1801C2×C4C23×D418yes—
1802C2×C4C23×D412yes—
1803C2×C4C23×D412yes—
1804C2×C4C23×D412yes—
1805C2×C4C22×#4114yes—
1806C2×C4C22×#4112yes—
1807C2×C4C22×#4112yes—
1808C2×C4#58512yes—
1809C2×C4#58512yes—
1810C2×C4#58512yes—
1811C22—22no—
1812C22—24no—
1813C22—22no—
1814C22—24no—
1815C22—22no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—24no—
1820C22—41no—
1821C22—41no—
1822C22—42no—
1823C22—41no—
1824C22—41no—
1825C22—42no—
1826C22—41no—
1827C22—42no—
1828C22—41no—
1829C22—41no—
1830C22—42no—
1831C22—41no—
1832C22—41no—
1833C22—42no—
1834C22—42no—
1835C22—41no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—41no—
1841C22—41no—
1842C22—42no—
1843C22—42no—
1844C22—41no—
1845C22—42no—
1846C22—42no—
1847C22—41no—
1848C22—42no—
1849C22—42no—
1850C22—41no—
1851C22—42no—
1852C22—42no—
1853C22—816no—
1854C22C24×D411yescharacteristic
1855C22C23×#4111yescharacteristic
1856C22C2×#58511yescharacteristic
1857C22C2×#58511yescharacteristic
1858C22C2×#58511yescharacteristic
1859C222−1+611yescharacteristic
1860C222−1+611yescharacteristic
1861C4—24no—
1862C4—22no—
1863C4—22no—
1864C4—22no—
1865C4—28no—
1866C4—22no—
1867C4—22no—
1868C4—28no—
1869C4—42no—
1870C4—42no—
1871C4—42no—
1872C4—41no—
1873C4—41no—
1874C4—42no—
1875C4—42no—
1876C4—42no—
1877C4—44no—
1878C4—41no—
1879C4—41no—
1880C4—42no—
1881C4—42no—
1882C4—42no—
1883C4—42no—
1884C4—42no—
1885C4—42no—
1886C4—41no—
1887C4—44no—
1888C4D4×#4114yes—
1889C4#348714yes—
1890C2—42no—
1891C2—44no—
1892C2—42no—
1893C2—81no—
1894C2—82no—
1895C2—82no—
1896C2C2×D4×#4111yescharacteristic
1897C2C2×#348711yescharacteristic
1898C2#6285911yescharacteristic
1899C2#6293611yescharacteristic
1900C2#6293911yescharacteristic
1901C2#6299111yescharacteristic
1902C2#6299511yescharacteristic
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×#3509C2semidirect
2. C2×#3475C2semidirect
3. #59824C2semidirect
4. #59658C2semidirect
5. #59656C2semidirect
6. #59444C2semidirect
7. #59134C2semidirect
8. #59125C2semidirect
9. #59079C2semidirect
10. #59055C2semidirect
11. #59052C2semidirect
12. #59050C2semidirect
13. #59050C2semidirect
14. #59040C2semidirect
15. #45238C2semidirect
16. #45237C2semidirect
17. #45187C2semidirect
18. #45093C2semidirect
19. #43548C2semidirect
20. #43545C2semidirect
21. #39887C2semidirect
22. #39863C2semidirect
23. #39859C2semidirect
24. #38378C2semidirect
25. #36439C2semidirect
26. #36234C2semidirect
27. #35664C2semidirect
28. #35638C2semidirect
29. #35240C2semidirect
30. #35205C2semidirect
31. #34979C2semidirect
32. #34909C2semidirect
33. #34293C2semidirect
34. #34231C2semidirect
35. C4×#535C2semidirect
37. C2×#557C22semidirect
38. C2×#557C22semidirect
50. C2×#552C22semidirect
51. C2×#552C22semidirect
57. C2×#541C22semidirect
62. C2×#533C22semidirect
63. C2×#533C22semidirect
64. C2×#533C22semidirect
65. C22×C4⋊Q8C22semidirect
69. C2×#519C22semidirect
75. #2852C22semidirect
76. #2851C22semidirect
79. #2732C22semidirect
80. #2730C22semidirect
81. #2730C22semidirect
82. #2728C22semidirect
83. #2721C22semidirect
84. #2721C22semidirect
85. #2719C22semidirect
88. #2716C22semidirect
89. #2716C22semidirect
94. #2694C22semidirect
95. #2694C22semidirect
100. #2674C22semidirect
103. #2636C22semidirect
105. #2633C22semidirect
106. #2611C22semidirect
107. #2611C22semidirect
108. #2609C22semidirect
109. #2603C22semidirect
110. #2601C22semidirect
113. #2599C22semidirect
114. #2599C22semidirect
115. #2598C22semidirect
116. #2598C22semidirect
117. #2581C22semidirect
118. #2580C22semidirect
119. #2580C22semidirect
120. #2568C22semidirect
121. #2566C22semidirect
123. #2558C22semidirect
124. #2554C22semidirect
125. #2554C22semidirect
126. #2552C22semidirect
127. #2552C22semidirect
128. #2550C22semidirect
131. #2547C22semidirect
132. #2546C22semidirect
136. #2542C22semidirect
137. #2542C22semidirect
138. #2542C22semidirect
140. #2540C22semidirect
141. #2540C22semidirect
142. #2538C22semidirect
145. #2536C22semidirect
146. #2535C22semidirect
147. #2519C22semidirect
148. #2519C22semidirect
149. #2512C22semidirect
152. #2492C22semidirect
154. #2491C22semidirect
157. #2490C22semidirect
158. #2489C22semidirect
159. #2489C22semidirect
163. #2481C22semidirect
166. #2479C22semidirect
167. #2479C22semidirect
168. #2479C22semidirect
171. #2475C22semidirect
174. #2471C22semidirect
175. #2471C22semidirect
177. #2469C22semidirect
178. #2467C22semidirect
179. #2460C22semidirect
180. #2458C22semidirect
182. #2453C22semidirect
184. #2448C22semidirect
185. #2448C22semidirect
186. #2446C22semidirect
188. #2443C22semidirect
189. #2442C22semidirect
190. #2441C22semidirect
191. #2441C22semidirect
192. #2441C22semidirect
193. #2440C22semidirect
194. #2439C22semidirect
199. #2429C22semidirect
200. #2429C22semidirect
201. #2429C22semidirect
205. #2426C22semidirect
206. #2426C22semidirect
207. #2423C22semidirect
208. #2423C22semidirect
209. #2423C22semidirect
210. #2421C22semidirect
212. #2417C22semidirect
213. #2417C22semidirect
214. #2417C22semidirect
215. #2416C22semidirect
218. #2415C22semidirect
219. #2415C22semidirect
220. #2415C22semidirect
221. #2415C22semidirect
223. #2414C22semidirect
224. #2409C22semidirect
231. #2369C22semidirect
232. #2369C22semidirect
234. #2367C22semidirect
235. #2365C22semidirect
236. #2365C22semidirect
238. #2363C22semidirect
241. #2362C22semidirect
242. #2362C22semidirect
243. #2362C22semidirect
244. #2362C22semidirect
245. #2360C22semidirect
246. #2360C22semidirect
247. #2356C22semidirect
248. #2354C22semidirect
249. #2354C22semidirect
250. #2354C22semidirect
251. #2352C22semidirect
252. #2352C22semidirect
253. Q8×C4⋊C4C22semidirect
254. D4×C4⋊C4C22semidirect
258. Q8×C22⋊C4C22semidirect
264. #2326C22semidirect
269. #2324C22semidirect
272. #2320C22semidirect
276. C4×C4⋊Q8C22semidirect
278. C4×#125C22semidirect
279. C4×#125C22semidirect
281. C4×#124C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×C22⋊Q8C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
291. C4×#121C22semidirect
292. C4×#121C22semidirect
295. #2290C22semidirect
296. #2290C22semidirect
297. #2290C22semidirect
299. #2276C22semidirect
333. #533D4semidirect
986. #121#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35092
C2×#34752
#598242
#596582
#596562
#594442
#591342
#591252
#590792
#590552
#590522
#590502
#590402
#452382
#452372
#451872
#450932
#435482
#435452
#398872
#398632
#398592
#383782
#364392
#362342
#356642
#356382
#352402
#352052
#349792
#349092
#342932
#342312
C4×#5352