Finite Group Databasebeta

← #7879727

Subgroups — #7879727

Order 512.

7183 conjugacy classes of subgroups.

The subgroup lattice has 1928 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3520C211yesmaximal, characteristic, complemented
2C2×#3520C211yesmaximal, characteristic, complemented
3#59421C211yesmaximal, characteristic, complemented
4#59055C211yesmaximal, characteristic, complemented
5#59042C211yesmaximal, characteristic, complemented
6#59016C212yesmaximal, complemented
7#59000C212yesmaximal, complemented
8#50858C214yesmaximal, complemented
9#48789C214yesmaximal, complemented
10#46821C214yesmaximal, complemented
11#45134C212yesmaximal, complemented
12#45095C212yesmaximal, complemented
13#45016C212yesmaximal, complemented
14#44921C212yesmaximal, complemented
15#43541C214yesmaximal, complemented
16#42950C212yesmaximal, complemented
17#42675C212yesmaximal, complemented
18#39885C212yesmaximal, complemented
19#39594C212yesmaximal, complemented
20#39488C211yesmaximal, characteristic, complemented
21#39360C211yesmaximal, characteristic, complemented
22#38923C211yesmaximal, characteristic, complemented
23#38911C211yesmaximal, characteristic, complemented
24#37668C212yesmaximal, complemented
25#37665C212yesmaximal, complemented
26#36153C211yesmaximal, characteristic, complemented
27#36134C211yesmaximal, characteristic, complemented
28#36100C211yesmaximal, characteristic, complemented
29#35996C212yesmaximal, complemented
30#35802C212yesmaximal, complemented
31#35633C212yesmaximal, complemented
32#35516C212yesmaximal, complemented
33#34700C211yesmaximal, characteristic, complemented
34#34700C211yesmaximal, characteristic, complemented
35#34480C211yesmaximal, characteristic, complemented
36#3520—216no—
37#3520—216no—
38C2×#556C2211yescharacteristic, complemented
39C2×#556C2211yescharacteristic, complemented
40C2×#554C2212yescomplemented
41C2×#554C2212yescomplemented
42C2×#552C2212yescomplemented
43C2×#552C2212yescomplemented
44C2×#551C2214yescomplemented
45C2×#551C2214yescomplemented
46C2×D4×Q8C2211yescharacteristic, complemented
47C2×D4×Q8C2211yescharacteristic, complemented
48C2×#548C2212yes—
49C2×#548C2212yes—
50C2×#547C2211yescharacteristic
51C2×#547C2211yescharacteristic
52C2×#547C2211yescharacteristic
53C2×#546C2212yescomplemented
54C2×#546C2212yescomplemented
55C2×#546C2212yescomplemented
56C2×#542C2212yescomplemented
57C2×#542C2212yescomplemented
58C2×#539C2214yescomplemented
59C2×#539C2214yescomplemented
60C2×#536C2212yescomplemented
61C2×#533C2211yescharacteristic, complemented
62C2×#533C2211yescharacteristic, complemented
63C2×#529C2211yescharacteristic
64C2×#529C2211yescharacteristic
65C2×#525C2212yes—
66C2×#525C2212yes—
67C2×#525C2212yes—
68C22×C22⋊Q8C2212yescomplemented
69C22×C22⋊Q8C2212yescomplemented
70C2×#520C2212yescomplemented
71C2×#520C2212yescomplemented
72C22×C4×D4C2211yescharacteristic, complemented
73C22×C4×D4C2211yescharacteristic, complemented
74#2868C2211yescharacteristic, complemented
75#2857C2211yescharacteristic, complemented
76#2857C2211yescharacteristic, complemented
77#2848C2212yescomplemented
78#2847C2212yes—
79#2814C2214yescomplemented
80#2726C2214yescomplemented
81#2725C2214yescomplemented
82#2722C2214yescomplemented
83#2721C2214yescomplemented
84#2720C2214yescomplemented
85#2720C2214yescomplemented
86#2718C2214yescomplemented
87#2718C2214yescomplemented
88#2704C2214yescomplemented
89#2702C2214yescomplemented
90#2702C2214yescomplemented
91#2701C2214yescomplemented
92#2700C2214yescomplemented
93#2697C2214yescomplemented
94#2695C2214yescomplemented
95#2695C2214yescomplemented
96#2692C2214yes—
97#2692C2214yescomplemented
98#2690C2214yescomplemented
99#2689C2214yescomplemented
100#2689C2214yescomplemented
101#2687C2214yescomplemented
102#2687C2214yescomplemented
103#2686C2214yescomplemented
104#2684C2214yescomplemented
105#2680C2214yescomplemented
106#2680C2214yescomplemented
107#2680C2214yescomplemented
108#2679C2214yes—
109#2678C2214yes—
110#2672C2214yescomplemented
111#2671C2214yes—
112#2668C2214yes—
113#2630C2214yes—
114#2630C2214yescomplemented
115#2626C2214yescomplemented
116#2625C2212yescomplemented
117#2625C2212yescomplemented
118#2625C2214yescomplemented
119#2621C2212yescomplemented
120#2620C2212yescomplemented
121#2602C2214yescomplemented
122#2582C2211yescharacteristic, complemented
123#2568C2211yescharacteristic, complemented
124#2560C2214yescomplemented
125#2552C2212yescomplemented
126#2550C2212yescomplemented
127#2549C2214yescomplemented
128#2547C2212yescomplemented
129#2547C2211yescharacteristic, complemented
130#2546C2211yescharacteristic, complemented
131#2542C2212yes—
132#2542C2211yescharacteristic, complemented
133#2542C2212yescomplemented
134#2538C2212yes—
135#2537C2211yescharacteristic
136#2536C2212yescomplemented
137#2534C2214yescomplemented
138#2534C2214yescomplemented
139#2521C2214yescomplemented
140#2502C2212yescomplemented
141#2502C2214yescomplemented
142#2500C2212yescomplemented
143#2492C2212yescomplemented
144#2492C2212yescomplemented
145#2492C2212yescomplemented
146#2487C2214yescomplemented
147#2486C2214yescomplemented
148#2486C2214yescomplemented
149#2486C2212yescomplemented
150#2485C2212yescomplemented
151#2485C2214yescomplemented
152#2485C2214yescomplemented
153#2481C2214yescomplemented
154#2480C2212yescomplemented
155#2480C2212yescomplemented
156#2479C2214yescomplemented
157#2479C2214yescomplemented
158#2477C2214yescomplemented
159#2475C2214yescomplemented
160#2473C2214yescomplemented
161#2472C2214yescomplemented
162#2468C2214yescomplemented
163#2468C2212yescomplemented
164#2468C2212yescomplemented
165#2457C2212yes—
166#2457C2212yes—
167#2455C2214yes—
168#2455C2214yescomplemented
169#2454C2211yescharacteristic, complemented
170#2454C2211yescharacteristic, complemented
171#2453C2212yescomplemented
172#2451C2212yescomplemented
173#2450C2214yescomplemented
174#2448C2212yescomplemented
175#2447C2214yescomplemented
176#2447C2214yescomplemented
177#2447C2211yescharacteristic, complemented
178#2447C2211yescharacteristic, complemented
179#2447C2212yescomplemented
180#2442C2211yescharacteristic, complemented
181#2442C2211yescharacteristic, complemented
182#2441C2212yescomplemented
183#2441C2212yescomplemented
184#2440C2212yescomplemented
185#2440C2212yescomplemented
186#2439C2212yescomplemented
187#2437C2214yescomplemented
188#2436C2212yescomplemented
189#2435C2211yescharacteristic, complemented
190#2435C2211yescharacteristic, complemented
191#2434C2212yescomplemented
192#2432C2212yescomplemented
193#2432C2212yescomplemented
194#2432C2212yescomplemented
195#2429C2212yescomplemented
196#2429C2212yescomplemented
197#2429C2212yescomplemented
198#2429C2212yescomplemented
199#2429C2212yescomplemented
200#2429C2212yescomplemented
201#2427C2212yes—
202#2427C2211yescharacteristic
203#2427C2211yescharacteristic
204#2427C2212yes—
205#2427C2212yescomplemented
206#2427C2212yescomplemented
207#2426C2212yes—
208#2426C2212yescomplemented
209#2425C2214yescomplemented
210#2423C2212yescomplemented
211#2423C2212yescomplemented
212#2423C2212yescomplemented
213#2422C2212yescomplemented
214#2422C2214yescomplemented
215#2422C2214yescomplemented
216#2422C2214yescomplemented
217#2422C2212yescomplemented
218#2422C2212yescomplemented
219#2421C2212yescomplemented
220#2421C2212yescomplemented
221#2420C2211yescharacteristic
222#2420C2211yescharacteristic
223#2420C2212yes—
224#2419C2214yescomplemented
225#2419C2214yescomplemented
226#2418C2212yes—
227#2418C2212yes—
228#2418C2214yescomplemented
229#2418C2214yescomplemented
230#2418C2214yescomplemented
231#2418C2214yescomplemented
232#2417C2211yescharacteristic
233#2417C2211yescharacteristic
234#2417C2212yescomplemented
235#2417C2214yescomplemented
236#2417C2214yescomplemented
237#2417C2212yescomplemented
238#2416C2212yes—
239#2415C2212yescomplemented
240#2415C2214yescomplemented
241#2415C2214yescomplemented
242#2415C2212yescomplemented
243#2415C2212yescomplemented
244#2412C2214yescomplemented
245#2409C2212yescomplemented
246#2409C2212yescomplemented
247#2408C2211yescharacteristic
248#2408C2211yescharacteristic
249#2408C2212yescomplemented
250#2407C2212yes—
251#2395C2214yescomplemented
252#2395C2212yescomplemented
253#2395C2212yescomplemented
254#2392C2212yes—
255#2392C2212yes—
256#2376C2214yescomplemented
257#2367C2212yescomplemented
258#2365C2212yescomplemented
259#2365C2211yescharacteristic, complemented
260#2363C2212yescomplemented
261#2363C2212yescomplemented
262#2362C2212yescomplemented
263#2361C2212yescomplemented
264#2360C2212yescomplemented
265#2358C2214yes—
266#2354C2212yes—
267#2354C2211yescharacteristic, complemented
268Q8×C4⋊C4C2212yescomplemented
269Q8×C4⋊C4C2212yescomplemented
270D4×C4⋊C4C2212yescomplemented
271D4×C4⋊C4C2211yescharacteristic, complemented
272#2345C2212yescomplemented
273#2341C2212yescomplemented
274Q8×C22⋊C4C2212yescomplemented
275Q8×C22⋊C4C2212yescomplemented
276#2339C2212yescomplemented
277#2335C2214yescomplemented
278#2324C2212yescomplemented
279#2323C2212yescomplemented
280#2321C2214yes—
281#2317C2212yescomplemented
282#2316C2212yescomplemented
283#2316C2212yescomplemented
284#2311C2212yescomplemented
285#2310C2212yescomplemented
286C4×C4⋊Q8C2211yescharacteristic, complemented
287C4×#124C2211yescharacteristic, complemented
288C4×#124C2211yescharacteristic, complemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×C22⋊Q8C2211yescharacteristic, complemented
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic
293C4×#120C2212yes—
294C4×#120C2212yes—
295#2293C2211yescharacteristic, complemented
296#2293C2211yescharacteristic, complemented
297#2280C2212yescomplemented
298#2280C2212yescomplemented
299C2×#380C2212yescomplemented
300C42×D4C2211yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C23×Q8C2312yes—
305C23×Q8C2312yes—
306C23×D4C2311yescharacteristic
307C23×D4C2311yescharacteristic
308C24×C4C2312yes—
309C24×C4C2312yes—
310#556—28no—
311#556—28no—
312#554—216no—
313#554—216no—
314#552—216no—
315#552—216no—
316#551—232no—
317#551—232no—
318D4×Q8—28no—
319D4×Q8—28no—
320#548—216no—
321#548—216no—
322#547—28no—
323#547—28no—
324#547D4116yescomplemented
325#546—216no—
326#546—216no—
327#546—48no—
328#542—216no—
329#542—216no—
330#539—232no—
331#539—232no—
332#536—48no—
333#533—28no—
334#533—28no—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343#529—28no—
344#529—28no—
345C2×#126C2314yes—
346C2×#126C2312yes—
347C2×#126C2312yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#125C2311yescharacteristic
352C2×#125C2311yescharacteristic
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2314yes—
356C2×#125C2314yes—
357C2×#124C2312yes—
358C2×#124C2311yescharacteristic
359C2×#124C2311yescharacteristic
360C2×#124C2314yes—
361C2×#124C2311yescharacteristic
362C2×#124C2312yes—
363C2×#124C2312yes—
364C2×#124C2314yes—
365C2×#124C2311yescharacteristic
366#525—216no—
367#525—216no—
368#525—48no—
369C2×#123C2314yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2312yes—
374C2×#123C2312yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×C22⋊Q8—216no—
383C2×C22⋊Q8—216no—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2312yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2311yescharacteristic
416C2×#121C2311yescharacteristic
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#121C2311yescharacteristic
422C2×#121C2312yes—
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#120C2312yes—
426C2×#120C2312yes—
427C2×#120C2314yes—
428C2×#120C2314yes—
429C2×#120C2314yes—
430C2×#120C2314yes—
431#520—216no—
432#520—216no—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2312yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×D4—28no—
444C2×C4×D4—28no—
445C2×C4×D4C2314yes—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2314yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2314yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2314yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2314yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C2×#117C2312yes—
481C2×#117C2314yes—
482C2×#117C2314yes—
483C2×#117C2312yes—
484C2×#117C2312yes—
485C2×#117C2312yes—
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2311yescharacteristic
488C22×C4⋊C4C2312yes—
489C22×C4⋊C4C2311yescharacteristic
490C22×C4⋊C4C2314yes—
491C22×C4⋊C4C2314yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2312yes—
494C22×C22⋊C4C2314yes—
495C22×C22⋊C4C2314yes—
496C22×C22⋊C4C2312yes—
497C22×C22⋊C4C2312yes—
498C22×C22⋊C4C2314yes—
499C22×C42C2311yescharacteristic
500C22×C42C2311yescharacteristic
501#400C2314yes—
502#400C2314yes—
503#400C2312yes—
504#400C2314yes—
505#400C2312yes—
506#400C2314yes—
507#400C2314yes—
508#399C2314yes—
509#399C2314yes—
510#399C2312yes—
511#399C2312yes—
512#399C2314yes—
513#399C2314yes—
514#399C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2314yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2312yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2312yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2312yes—
544#397C2312yes—
545#397C2314yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2312yes—
551#397C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2314yes—
555#396C2314yes—
556#396C2314yes—
557#396C2312yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2312yes—
563#396C2312yes—
564#396C2312yes—
565#396C2314yes—
566#396C2314yes—
567#395C2314yes—
568#395C2314yes—
569#395C2314yes—
570#395C2314yes—
571#394C2314yes—
572#394C2312yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2312yes—
580#394C2314yes—
581#394C2314yes—
582#394C2312yes—
583#394C2312yes—
584#394C2312yes—
585#394C2312yes—
586#394C2312yes—
587#394C2312yes—
588#394C2314yes—
589#394C2312yes—
590#394C2312yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#393C2314yes—
597#393C2314yes—
598#393C2314yes—
599#393C2314yes—
600#392C2314yes—
601#392C2312yes—
602#392C2312yes—
603#391C2314yes—
604#391C2312yes—
605#391C2311yescharacteristic
606#391C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2314yes—
610#391C2314yes—
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2312yes—
616#391C2311yescharacteristic
617#391C2311yescharacteristic
618#391C2314yes—
619#391C2314yes—
620#391C2314yes—
621#391C2312yes—
622#391C2312yes—
623#391C2311yescharacteristic
624#390C2314yes—
625#390C2311yescharacteristic
626#390C2312yes—
627#390C2314yes—
628#390C2314yes—
629#390C2311yescharacteristic
630#390C2314yes—
631#390C2314yes—
632#390C2311yescharacteristic
633#390C2312yes—
634#390C2311yescharacteristic
635#390C2311yescharacteristic
636#390C2311yescharacteristic
637#390C2311yescharacteristic
638#390C2311yescharacteristic
639#389C2312yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2314yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2314yes—
648#389C2312yes—
649#389C2314yes—
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2311yescharacteristic
655#389C2312yes—
656#389C2311yescharacteristic
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2314yes—
661#389C2314yes—
662#389C2311yescharacteristic
663#389C2314yes—
664#389C2314yes—
665#389C2312yes—
666#389C2314yes—
667#389C2314yes—
668#389C2311yescharacteristic
669#389C2311yescharacteristic
670#389C2311yescharacteristic
671#389C2314yes—
672#388C2312yes—
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2312yes—
695#388C2312yes—
696#388C2314yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2312yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2312yes—
711#387C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2314yes—
751#385C2312yes—
752#385C2312yes—
753#385C2314yes—
754#385C2312yes—
755#385C2312yes—
756#384C2311yescharacteristic
757#384C2312yes—
758#384C2312yes—
759#384C2312yes—
760#384C2314yes—
761#384C2314yes—
762#384C2312yes—
763#384C2312yes—
764#382C2312yes—
765#382C2311yescharacteristic
766#382C2311yescharacteristic
767#381C2314yes—
768#381C2314yes—
769#381C2314yes—
770#381C2312yes—
771#381C2312yes—
772#381C2312yes—
773#381C2312yes—
774#380C2314yes—
775#380C2314yes—
776#380C2314yes—
777#380C2314yes—
778#380C2314yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2312yes—
786#380C2314yes—
787#380C2314yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2311yescharacteristic
792#380C2311yescharacteristic
793#380C2312yes—
794#380C2314yes—
795#380C2312yes—
796#380C2312yes—
797#380C2314yes—
798#380C2312yes—
799#380C2311yescharacteristic
800#380C2312yes—
801#380C2312yes—
802#380C2312yes—
803#380C2314yes—
804#380C2312yes—
805#380C2312yes—
806#379C2314yes—
807#379C2312yes—
808#379C2312yes—
809#379C2312yes—
810#379C2312yes—
811#379C2312yes—
812#379C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2314yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846C2×#95C2314yes—
847C43C2311yescharacteristic
848C25C2412yes—
849C25C2412yes—
850C2×#41—28no—
851C2×#41—28no—
852C2×#41—28no—
853C2×#41—44no—
854C2×#41—44no—
855C2×#41—44no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41C2×D4116yes—
859C22×Q8—28no—
860C22×Q8—28no—
861C22×Q8—44no—
862C22×Q8—44no—
863C22×Q8—44no—
864C22×Q8—44no—
865C22×Q8C2412yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×Q8C2414yes—
871C22×Q8C2414yes—
872C22×D4—24no—
873C22×D4—24no—
874C22×D4—24no—
875C22×D4—42no—
876C22×D4—42no—
877C22×D4—42no—
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2414yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2411yescharacteristic
893C23×C4—28no—
894C23×C4—28no—
895C23×C4—44no—
896C23×C4—44no—
897C23×C4—44no—
898C23×C4—44no—
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2414yes—
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2412yes—
911C23×C4C2414yes—
912C23×C4C2414yes—
913C23×C4C2414yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2414yes—
920C23×C4C2414yes—
921C4⋊Q8—28no—
922C4⋊Q8—28no—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8—44no—
926C4⋊Q8—44no—
927C4⋊Q8—44no—
928C4⋊Q8C2×D418yes—
929#126—216no—
930#126—216no—
931#126—28no—
932#126—28no—
933#126—216no—
934#126—216no—
935#125—24no—
936#125—24no—
937#125—28no—
938#125—28no—
939#125—216no—
940#125—216no—
941#124—28no—
942#124—24no—
943#124—24no—
944#124—28no—
945#124—216no—
946#124—24no—
947#124—28no—
948#124—216no—
949#124—42no—
950#123—216no—
951#123—216no—
952#123—216no—
953#123—28no—
954#123—28no—
955#123—216no—
956#123—216no—
957#123—216no—
958#123—48no—
959#123—48no—
960#123—48no—
961#123—48no—
962#123C2×D4132yes—
963C22⋊Q8—28no—
964C22⋊Q8—28no—
965C22⋊Q8—28no—
966C22⋊Q8—28no—
967C22⋊Q8—28no—
968C22⋊Q8—216no—
969C22⋊Q8—28no—
970C22⋊Q8—24no—
971C22⋊Q8—24no—
972C22⋊Q8—28no—
973C22⋊Q8—216no—
974C22⋊Q8—28no—
975C22⋊Q8—28no—
976C22⋊Q8—216no—
977C22⋊Q8—216no—
978C22⋊Q8—28no—
979C22⋊Q8—216no—
980C22⋊Q8—216no—
981C22⋊Q8—216no—
982C22⋊Q8—216no—
983C22⋊Q8—48no—
984C22⋊Q8—48no—
985C22⋊Q8—42no—
986C22⋊Q8—42no—
987C22⋊Q8—44no—
988C22⋊Q8—44no—
989C22⋊Q8—44no—
990C22⋊Q8—44no—
991C22⋊Q8C2×D4116yes—
992#121—24no—
993#121—24no—
994#121—28no—
995#121—216no—
996#121—216no—
997#121—24no—
998#121—28no—
999#121—28no—
1000#121—48no—
1001#121—44no—
1002#121—42no—
1003#121C2×D4116yes—
1004#120—216no—
1005#120—216no—
1006#120—28no—
1007#120—28no—
1008#120—48no—
1009#120—48no—
1010C4×Q8—28no—
1011C4×Q8—28no—
1012C4×Q8—28no—
1013C4×Q8—28no—
1014C4×Q8—28no—
1015C4×Q8—28no—
1016C4×Q8—24no—
1017C4×Q8—24no—
1018C4×Q8—44no—
1019C4×Q8—44no—
1020C4×D4—24no—
1021C4×D4—24no—
1022C4×D4—216no—
1023C4×D4—28no—
1024C4×D4—216no—
1025C4×D4—24no—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—216no—
1029C4×D4—216no—
1030C4×D4—216no—
1031C4×D4—28no—
1032C4×D4—28no—
1033C4×D4—24no—
1034C4×D4—24no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—28no—
1038C4×D4—216no—
1039C4×D4—24no—
1040C4×D4—24no—
1041C4×D4—44no—
1042C4×D4—44no—
1043C4×D4—42no—
1044C4×D4—42no—
1045C4×D4—44no—
1046C4×D4—48no—
1047C4×D4—48no—
1048C4×D4C2×D418yes—
1049C4×D4C2×D418yes—
1050#117—28no—
1051#117—28no—
1052#117—216no—
1053#117—28no—
1054#117—216no—
1055#117—28no—
1056#117—28no—
1057#117—28no—
1058#117—44no—
1059#117—44no—
1060#117—44no—
1061C2×C4⋊C4—216no—
1062C2×C4⋊C4—28no—
1063C2×C4⋊C4—24no—
1064C2×C4⋊C4—24no—
1065C2×C4⋊C4—216no—
1066C2×C4⋊C4—28no—
1067C2×C4⋊C4—44no—
1068C2×C4⋊C4C2×D4116yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C22⋊C4—216no—
1137C2×C22⋊C4—28no—
1138C2×C22⋊C4—28no—
1139C2×C22⋊C4—216no—
1140C2×C22⋊C4—48no—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2411yescharacteristic
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C42—24no—
1214C2×C42—24no—
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2414yes—
1218C2×C42C2414yes—
1219C2×C42C2414yes—
1220C2×C42C2414yes—
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2412yes—
1224C2×C42C2412yes—
1225C2×C42C2412yes—
1226C2×C42C2412yes—
1227C2×C42C2411yescharacteristic
1228C2×C42C2411yescharacteristic
1229C2×C42C2411yescharacteristic
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2411yescharacteristic
1233C2×C42C2411yescharacteristic
1234C2×C42C2414yes—
1235C2×C42C2414yes—
1236C2×C42C2414yes—
1237C2×C42C2411yescharacteristic
1238C2×C42C2411yescharacteristic
1239#95C2412yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2411yescharacteristic
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2412yes—
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2411yescharacteristic
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293C24—24no—
1294C24—24no—
1295C24—24no—
1296C24—24no—
1297C24—24no—
1298C24—42no—
1299C24—42no—
1300C24—42no—
1301C24—42no—
1302C24—42no—
1303C24—42no—
1304C24—42no—
1305C24—42no—
1306C24—42no—
1307C24C2512yes—
1308C24C2512yes—
1309C24C2512yes—
1310C24C2512yes—
1311C24C2511yescharacteristic
1312C24C2511yescharacteristic
1313#41—432no—
1314#41—432no—
1315#41—816no—
1316C2×Q8—24no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—24no—
1320C2×Q8—28no—
1321C2×Q8—28no—
1322C2×Q8—24no—
1323C2×Q8—24no—
1324C2×Q8—22no—
1325C2×Q8—24no—
1326C2×Q8—24no—
1327C2×Q8—24no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—22no—
1331C2×Q8—24no—
1332C2×Q8—44no—
1333C2×Q8—44no—
1334C2×Q8—44no—
1335C2×Q8—44no—
1336C2×Q8—816no—
1337C2×Q8—816no—
1338C2×Q8C22×D418yes—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—28no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—28no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—28no—
1351C2×D4—28no—
1352C2×D4—24no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—41no—
1363C2×D4—41no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—42no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—416no—
1380C2×D4—416no—
1381C2×D4C22×D414yes—
1382C2×D4C22×D414yes—
1383C2×D4C22×D4116yes—
1384C2×D4H(5,𝔽2)14yes—
1385C2×D42−1+414yes—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—28no—
1391C22×C4—22no—
1392C22×C4—22no—
1393C22×C4—28no—
1394C22×C4—24no—
1395C22×C4—28no—
1396C22×C4—24no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—28no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—22no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—22no—
1414C22×C4—24no—
1415C22×C4—22no—
1416C22×C4—24no—
1417C22×C4—24no—
1418C22×C4—28no—
1419C22×C4—24no—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—41no—
1424C22×C4—41no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—42no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—44no—
1433C22×C4—42no—
1434C22×C4—42no—
1435C22×C4—42no—
1436C22×C4—42no—
1437C22×C4—42no—
1438C22×C4—42no—
1439C22×C4—42no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—816no—
1450C22×C4—816no—
1451C22×C4C22×D418yes—
1452C22×C4C22×D418yes—
1453C22×C4C22×D4116yes—
1454C22×C4C2512yes—
1455C22×C4C2511yescharacteristic
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2514yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2511yescharacteristic
1464C22×C4C2511yescharacteristic
1465C22×C4C2511yescharacteristic
1466C22×C4C2512yes—
1467C22×C4C2512yes—
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2512yes—
1471C22×C4C2511yescharacteristic
1472C22×C4C2512yes—
1473C22×C4C2514yes—
1474C22×C4C2514yes—
1475C22×C4C2511yescharacteristic
1476C22×C4C2511yescharacteristic
1477C22×C4C2514yes—
1478C22×C4C2512yes—
1479C22×C4C2512yes—
1480C22×C4C2511yescharacteristic
1481C22×C4C2511yescharacteristic
1482C22×C4C2511yescharacteristic
1483C4⋊C4—22no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—22no—
1491C4⋊C4—24no—
1492C4⋊C4—28no—
1493C4⋊C4—28no—
1494C4⋊C4—28no—
1495C4⋊C4—28no—
1496C4⋊C4—28no—
1497C4⋊C4—24no—
1498C4⋊C4—24no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—28no—
1504C4⋊C4—28no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—28no—
1508C4⋊C4—28no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—22no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—44no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4—44no—
1523C4⋊C4—42no—
1524C4⋊C4—42no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—41no—
1528C4⋊C4—41no—
1529C4⋊C4—42no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—42no—
1533C4⋊C4—44no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4—42no—
1537C4⋊C4—44no—
1538C4⋊C4—42no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—44no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4C22×D414yes—
1546C4⋊C4C22×D414yes—
1547C4⋊C4C22×D4116yes—
1548C4⋊C4C22×D418yes—
1549C4⋊C4C22×D418yes—
1550C22⋊C4—24no—
1551C22⋊C4—24no—
1552C22⋊C4—28no—
1553C22⋊C4—28no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—28no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—28no—
1562C22⋊C4—28no—
1563C22⋊C4—28no—
1564C22⋊C4—24no—
1565C22⋊C4—28no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—22no—
1569C22⋊C4—22no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—28no—
1576C22⋊C4—28no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—28no—
1581C22⋊C4—28no—
1582C22⋊C4—28no—
1583C22⋊C4—28no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—24no—
1588C22⋊C4—42no—
1589C22⋊C4—44no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—44no—
1596C22⋊C4—42no—
1597C22⋊C4—42no—
1598C22⋊C4—42no—
1599C22⋊C4—44no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—41no—
1605C22⋊C4—41no—
1606C22⋊C4—41no—
1607C22⋊C4—41no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
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—42no—
1619C22⋊C4C22×D418yes—
1620C22⋊C4C22×D418yes—
1621C22⋊C4C22×D4116yes—
1622C42—22no—
1623C42—22no—
1624C42—22no—
1625C42—22no—
1626C42—22no—
1627C42—22no—
1628C42—28no—
1629C42—28no—
1630C42—28no—
1631C42—28no—
1632C42—24no—
1633C42—24no—
1634C42—22no—
1635C42—24no—
1636C42—22no—
1637C42—22no—
1638C42—24no—
1639C42—22no—
1640C42—22no—
1641C42—41no—
1642C42—44no—
1643C42—44no—
1644C42—44no—
1645C42C22×D414yes—
1646C23—21no—
1647C23—21no—
1648C23—22no—
1649C23—21no—
1650C23—22no—
1651C23—21no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—22no—
1656C23—21no—
1657C23—21no—
1658C23—22no—
1659C23—21no—
1660C23—22no—
1661C23—21no—
1662C23—21no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—21no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—22no—
1673C23—22no—
1674C23—21no—
1675C23—21no—
1676C23—22no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—48no—
1684C23—48no—
1685C23—48no—
1686C23—48no—
1687C23—48no—
1688C23—84no—
1689C23—84no—
1690C23—84no—
1691C23—84no—
1692C23—84no—
1693C23—84no—
1694C23—84no—
1695C23—84no—
1696C23—84no—
1697C23C23×D414yes—
1698C23C23×D414yes—
1699C23C2×H(5,𝔽2)14yes—
1700C23C2×2−1+412yes—
1701C23C2×2−1+412yes—
1702C23C2611yescharacteristic
1703Q8—216no—
1704Q8—44no—
1705Q8—44no—
1706Q8—48no—
1707Q8—48no—
1708Q8—88no—
1709Q8—88no—
1710D4—28no—
1711D4—28no—
1712D4—28no—
1713D4—416no—
1714D4—44no—
1715D4—48no—
1716D4—48no—
1717D4—48no—
1718D4—48no—
1719D4—416no—
1720D4—48no—
1721D4—44no—
1722D4—84no—
1723D4—88no—
1724D4—88no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—24no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—216no—
1736C2×C4—216no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—24no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—21no—
1762C2×C4—24no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—24no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—24no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—24no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—24no—
1803C2×C4—416no—
1804C2×C4—44no—
1805C2×C4—44no—
1806C2×C4—416no—
1807C2×C4—44no—
1808C2×C4—48no—
1809C2×C4—44no—
1810C2×C4—44no—
1811C2×C4—48no—
1812C2×C4—44no—
1813C2×C4—84no—
1814C2×C4—84no—
1815C2×C4—84no—
1816C2×C4—84no—
1817C2×C4—88no—
1818C2×C4—84no—
1819C2×C4—84no—
1820C2×C4—88no—
1821C2×C4—88no—
1822C2×C4—164no—
1823C2×C4C23×D418yes—
1824C2×C4C23×D412yes—
1825C2×C4C23×D414yes—
1826C2×C4C23×D414yes—
1827C2×C4C23×D412yes—
1828C2×C4C23×D412yes—
1829C2×C4C2×H(5,𝔽2)12yes—
1830C2×C4C2×2−1+412yes—
1831C2×C4#58512yes—
1832C2×C4#58512yes—
1833C2×C4#58512yes—
1834C22—22no—
1835C22—22no—
1836C22—24no—
1837C22—24no—
1838C22—22no—
1839C22—24no—
1840C22—22no—
1841C22—24no—
1842C22—24no—
1843C22—24no—
1844C22—24no—
1845C22—24no—
1846C22—22no—
1847C22—22no—
1848C22—24no—
1849C22—42no—
1850C22—42no—
1851C22—42no—
1852C22—42no—
1853C22—41no—
1854C22—41no—
1855C22—41no—
1856C22—41no—
1857C22—42no—
1858C22—42no—
1859C22—42no—
1860C22—42no—
1861C22—42no—
1862C22—41no—
1863C22—41no—
1864C22—42no—
1865C22—42no—
1866C22—42no—
1867C22—41no—
1868C22—41no—
1869C22—42no—
1870C22—42no—
1871C22—42no—
1872C22—42no—
1873C22—42no—
1874C22—42no—
1875C22—42no—
1876C22—816no—
1877C22—816no—
1878C22C24×D411yescharacteristic
1879C22C22×H(5,𝔽2)11yescharacteristic
1880C22C22×2−1+411yescharacteristic
1881C22C2×#58511yescharacteristic
1882C22C2×#58511yescharacteristic
1883C22C2×#58511yescharacteristic
1884C222−1+611yescharacteristic
1885C4—22no—
1886C4—24no—
1887C4—28no—
1888C4—24no—
1889C4—22no—
1890C4—41no—
1891C4—41no—
1892C4—42no—
1893C4—42no—
1894C4—41no—
1895C4—42no—
1896C4—42no—
1897C4—41no—
1898C4—42no—
1899C4—41no—
1900C4—42no—
1901C4—42no—
1902C4—41no—
1903C4—41no—
1904C4—44no—
1905C4—44no—
1906C4—42no—
1907C4—41no—
1908C4—42no—
1909C4—44no—
1910C4—42no—
1911C4—41no—
1912C4#348514yes—
1913C4#348814yes—
1914C2—44no—
1915C2—44no—
1916C2—44no—
1917C2—42no—
1918C2—42no—
1919C2—82no—
1920C2C2×#348511yescharacteristic
1921C2C2×#348811yescharacteristic
1922C2#6282311yescharacteristic
1923C2#6292111yescharacteristic
1924C2#6293611yescharacteristic
1925C2D4×2−1+411yescharacteristic
1926C2#6301311yescharacteristic
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×#3520C2semidirect
2. C2×#3520C2semidirect
3. #59421C2semidirect
4. #59055C2semidirect
5. #59042C2semidirect
6. #59016C2semidirect
7. #59000C2semidirect
8. #50858C2semidirect
9. #48789C2semidirect
10. #46821C2semidirect
11. #45134C2semidirect
12. #45095C2semidirect
13. #45016C2semidirect
14. #44921C2semidirect
15. #43541C2semidirect
16. #42950C2semidirect
17. #42675C2semidirect
18. #39885C2semidirect
19. #39594C2semidirect
20. #39488C2semidirect
21. #39360C2semidirect
22. #38923C2semidirect
23. #38911C2semidirect
24. #37668C2semidirect
25. #37665C2semidirect
26. #36153C2semidirect
27. #36134C2semidirect
28. #36100C2semidirect
29. #35996C2semidirect
30. #35802C2semidirect
31. #35633C2semidirect
32. #35516C2semidirect
33. #34700C2semidirect
34. #34700C2semidirect
35. #34480C2semidirect
38. C2×#556C22semidirect
39. C2×#556C22semidirect
40. C2×#554C22semidirect
41. C2×#554C22semidirect
42. C2×#552C22semidirect
43. C2×#552C22semidirect
44. C2×#551C22semidirect
45. C2×#551C22semidirect
46. C2×D4×Q8C22semidirect
47. C2×D4×Q8C22semidirect
53. C2×#546C22semidirect
54. C2×#546C22semidirect
55. C2×#546C22semidirect
56. C2×#542C22semidirect
57. C2×#542C22semidirect
58. C2×#539C22semidirect
59. C2×#539C22semidirect
60. C2×#536C22semidirect
61. C2×#533C22semidirect
62. C2×#533C22semidirect
68. C22×C22⋊Q8C22semidirect
69. C22×C22⋊Q8C22semidirect
70. C2×#520C22semidirect
71. C2×#520C22semidirect
72. C22×C4×D4C22semidirect
73. C22×C4×D4C22semidirect
74. #2868C22semidirect
75. #2857C22semidirect
76. #2857C22semidirect
77. #2848C22semidirect
79. #2814C22semidirect
80. #2726C22semidirect
81. #2725C22semidirect
82. #2722C22semidirect
83. #2721C22semidirect
84. #2720C22semidirect
85. #2720C22semidirect
86. #2718C22semidirect
87. #2718C22semidirect
88. #2704C22semidirect
89. #2702C22semidirect
90. #2702C22semidirect
91. #2701C22semidirect
92. #2700C22semidirect
93. #2697C22semidirect
94. #2695C22semidirect
95. #2695C22semidirect
97. #2692C22semidirect
98. #2690C22semidirect
99. #2689C22semidirect
100. #2689C22semidirect
101. #2687C22semidirect
102. #2687C22semidirect
103. #2686C22semidirect
104. #2684C22semidirect
105. #2680C22semidirect
106. #2680C22semidirect
107. #2680C22semidirect
110. #2672C22semidirect
114. #2630C22semidirect
115. #2626C22semidirect
116. #2625C22semidirect
117. #2625C22semidirect
118. #2625C22semidirect
119. #2621C22semidirect
120. #2620C22semidirect
121. #2602C22semidirect
122. #2582C22semidirect
123. #2568C22semidirect
124. #2560C22semidirect
125. #2552C22semidirect
126. #2550C22semidirect
127. #2549C22semidirect
128. #2547C22semidirect
129. #2547C22semidirect
130. #2546C22semidirect
132. #2542C22semidirect
133. #2542C22semidirect
136. #2536C22semidirect
137. #2534C22semidirect
138. #2534C22semidirect
139. #2521C22semidirect
140. #2502C22semidirect
141. #2502C22semidirect
142. #2500C22semidirect
143. #2492C22semidirect
144. #2492C22semidirect
145. #2492C22semidirect
146. #2487C22semidirect
147. #2486C22semidirect
148. #2486C22semidirect
149. #2486C22semidirect
150. #2485C22semidirect
151. #2485C22semidirect
152. #2485C22semidirect
153. #2481C22semidirect
154. #2480C22semidirect
155. #2480C22semidirect
156. #2479C22semidirect
157. #2479C22semidirect
158. #2477C22semidirect
159. #2475C22semidirect
160. #2473C22semidirect
161. #2472C22semidirect
162. #2468C22semidirect
163. #2468C22semidirect
164. #2468C22semidirect
168. #2455C22semidirect
169. #2454C22semidirect
170. #2454C22semidirect
171. #2453C22semidirect
172. #2451C22semidirect
173. #2450C22semidirect
174. #2448C22semidirect
175. #2447C22semidirect
176. #2447C22semidirect
177. #2447C22semidirect
178. #2447C22semidirect
179. #2447C22semidirect
180. #2442C22semidirect
181. #2442C22semidirect
182. #2441C22semidirect
183. #2441C22semidirect
184. #2440C22semidirect
185. #2440C22semidirect
186. #2439C22semidirect
187. #2437C22semidirect
188. #2436C22semidirect
189. #2435C22semidirect
190. #2435C22semidirect
191. #2434C22semidirect
192. #2432C22semidirect
193. #2432C22semidirect
194. #2432C22semidirect
195. #2429C22semidirect
196. #2429C22semidirect
197. #2429C22semidirect
198. #2429C22semidirect
199. #2429C22semidirect
200. #2429C22semidirect
205. #2427C22semidirect
206. #2427C22semidirect
208. #2426C22semidirect
209. #2425C22semidirect
210. #2423C22semidirect
211. #2423C22semidirect
212. #2423C22semidirect
213. #2422C22semidirect
214. #2422C22semidirect
215. #2422C22semidirect
216. #2422C22semidirect
217. #2422C22semidirect
218. #2422C22semidirect
219. #2421C22semidirect
220. #2421C22semidirect
224. #2419C22semidirect
225. #2419C22semidirect
228. #2418C22semidirect
229. #2418C22semidirect
230. #2418C22semidirect
231. #2418C22semidirect
234. #2417C22semidirect
235. #2417C22semidirect
236. #2417C22semidirect
237. #2417C22semidirect
239. #2415C22semidirect
240. #2415C22semidirect
241. #2415C22semidirect
242. #2415C22semidirect
243. #2415C22semidirect
244. #2412C22semidirect
245. #2409C22semidirect
246. #2409C22semidirect
249. #2408C22semidirect
251. #2395C22semidirect
252. #2395C22semidirect
253. #2395C22semidirect
256. #2376C22semidirect
257. #2367C22semidirect
258. #2365C22semidirect
259. #2365C22semidirect
260. #2363C22semidirect
261. #2363C22semidirect
262. #2362C22semidirect
263. #2361C22semidirect
264. #2360C22semidirect
267. #2354C22semidirect
268. Q8×C4⋊C4C22semidirect
269. Q8×C4⋊C4C22semidirect
270. D4×C4⋊C4C22semidirect
271. D4×C4⋊C4C22semidirect
272. #2345C22semidirect
273. #2341C22semidirect
274. Q8×C22⋊C4C22semidirect
275. Q8×C22⋊C4C22semidirect
276. #2339C22semidirect
277. #2335C22semidirect
278. #2324C22semidirect
279. #2323C22semidirect
281. #2317C22semidirect
282. #2316C22semidirect
283. #2316C22semidirect
284. #2311C22semidirect
285. #2310C22semidirect
286. C4×C4⋊Q8C22semidirect
287. C4×#124C22semidirect
288. C4×#124C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×C22⋊Q8C22semidirect
295. #2293C22semidirect
296. #2293C22semidirect
297. #2280C22semidirect
298. #2280C22semidirect
299. C2×#380C22semidirect
324. #547D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35202
#594212
#590552
#590422
#590162
#590002
#508582
#487892
#468212
#451342
#450952
#450162
#449212
#435412
#429502
#426752
#398852
#395942
#394882
#393602
#389232
#389112
#376682
#376652
#361532
#361342
#361002
#359962
#358022
#356332
#355162
#347002
#344802