Finite Group Databasebeta

← #7987076

Subgroups — #7987076

Order 512.

7179 conjugacy classes of subgroups.

The subgroup lattice has 1885 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3544C211yesmaximal, characteristic, complemented
2C22×#554C211yesmaximal, characteristic, complemented
3#59660C211yesmaximal, characteristic, complemented
4#59140C212yesmaximal, complemented
5#59136C211yesmaximal, characteristic, complemented
6#59136C211yesmaximal, characteristic, complemented
7#59027C212yesmaximal, complemented
8#51580C214yesmaximal, complemented
9#51525C214yesmaximal, complemented
10#45446C214yesmaximal, complemented
11#45071C212yesmaximal, complemented
12#44989C212yesmaximal, complemented
13#44941C212yesmaximal, complemented
14#44921C212yesmaximal, complemented
15#42482C212yesmaximal, complemented
16#42477C212yesmaximal, complemented
17#42442C212yesmaximal, complemented
18#42436C212yesmaximal, complemented
19#39617C211yesmaximal, characteristic, complemented
20#39489C211yesmaximal, characteristic, complemented
21#39126C211yesmaximal, characteristic, complemented
22#38921C211yesmaximal, characteristic, complemented
23#37687C212yesmaximal, complemented
24#37665C212yesmaximal, complemented
25#37651C214yesmaximal, complemented
26Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
27#36160C211yesmaximal, characteristic, complemented
28D4×C4⋊Q8C211yesmaximal, characteristic, complemented
29#36103C212yesmaximal, complemented
30#36100C212yesmaximal, complemented
31#35225C212yesmaximal, complemented
32#35224C212yesmaximal, complemented
33#34708C211yesmaximal, characteristic, complemented
34#34700C211yesmaximal, characteristic, complemented
35#34484C211yesmaximal, characteristic, complemented
36#3544—216no—
37C2×#563C2214yescomplemented
38C2×Q82C2211yescharacteristic, complemented
39C2×#555C2211yescharacteristic
40C2×#554—216no—
41C2×#554C2211yescharacteristic
42C2×#554C2211yescharacteristic
43C2×#554C2212yes—
44C2×#554C2214yes—
45C2×#554C2212yes—
46C2×#554C2211yescharacteristic
47C2×#554C2212yes—
48C2×#554C2212yes—
49C2×#554C2211yescharacteristic
50C2×#554C2211yescharacteristic, complemented
51C2×#552C2212yescomplemented
52C2×#552C2212yescomplemented
53C2×D4×Q8C2212yes—
54C2×#547C2212yes—
55C2×#547C2212yescomplemented
56C2×#544C2212yescomplemented
57C2×#544C2212yescomplemented
58C2×#542C2212yes—
59C2×#542C2212yescomplemented
60C2×#536C2214yescomplemented
61C22×C4⋊Q8C2211yescharacteristic
62C22×C4⋊Q8C2211yescharacteristic, complemented
63C2×#529C2211yescharacteristic
64C2×#529C2211yescharacteristic, complemented
65C22×#125C2212yes—
66C2×#525C2214yes—
67C22×C22⋊Q8C2214yes—
68C22×C22⋊Q8C2212yes—
69C22×C4×Q8C2211yescharacteristic
70C22×C4×D4C2212yes—
71C22×C4×D4C2211yescharacteristic
72C23×C4⋊C4C2212yes—
73#2868C2211yescharacteristic, complemented
74#2857C2212yes—
75#2857C2211yescharacteristic
76#2857C2211yescharacteristic, complemented
77#2849C2214yes—
78#2848C2214yes—
79#2848C2214yes—
80#2847C2212yes—
81#2817C2214yescomplemented
82#2814C2214yescomplemented
83#2729C2214yescomplemented
84#2729C2214yescomplemented
85#2728C2214yescomplemented
86#2726C2214yescomplemented
87#2723C2214yescomplemented
88#2720C2214yescomplemented
89#2720C2214yescomplemented
90#2719C2214yescomplemented
91#2713C2214yescomplemented
92#2707C2214yescomplemented
93#2704C2214yescomplemented
94#2702C2214yescomplemented
95#2702C2214yescomplemented
96#2700C2214yescomplemented
97#2698C2214yescomplemented
98#2698C2214yescomplemented
99#2692C2214yescomplemented
100#2690C2214yescomplemented
101#2689C2214yescomplemented
102#2687C2214yescomplemented
103#2687C2214yescomplemented
104#2683C2214yescomplemented
105#2681C2214yescomplemented
106#2681C2214yescomplemented
107#2680C2214yescomplemented
108#2680C2214yescomplemented
109#2680C2214yescomplemented
110#2677C2214yescomplemented
111#2677C2214yescomplemented
112#2677C2214yescomplemented
113#2674C2214yescomplemented
114#2674C2214yescomplemented
115#2674C2214yescomplemented
116#2660C2212yescomplemented
117#2638C2214yes—
118#2630C2214yes—
119#2629C2212yescomplemented
120#2627C2214yescomplemented
121#2627C2214yescomplemented
122#2625C2212yescomplemented
123#2621C2214yescomplemented
124#2620C2212yescomplemented
125#2616C2214yescomplemented
126#2582C2211yescharacteristic, complemented
127#2582C2212yescomplemented
128#2567C2211yescharacteristic, complemented
129#2567C2211yescharacteristic, complemented
130#2567C2212yescomplemented
131#2565C2212yescomplemented
132#2563C2211yescharacteristic
133#2563C2211yescharacteristic, complemented
134#2562C2212yescomplemented
135#2556C2214yescomplemented
136#2552C2212yescomplemented
137#2551C2212yescomplemented
138#2551C2212yescomplemented
139#2550C2212yescomplemented
140#2550C2212yescomplemented
141#2546C2212yescomplemented
142#2542C2212yes—
143#2542C2214yescomplemented
144#2537C2212yes—
145#2537C2211yescharacteristic
146#2536C2214yescomplemented
147#2536C2212yescomplemented
148#2519C2214yescomplemented
149#2501C2212yescomplemented
150#2499C2212yescomplemented
151#2492C2212yescomplemented
152#2492C2212yescomplemented
153#2489C2212yescomplemented
154#2489C2212yescomplemented
155#2489C2212yescomplemented
156#2486C2212yescomplemented
157#2485C2212yes—
158#2481C2214yes—
159#2481C2212yes—
160#2480C2212yes—
161#2480C2214yes—
162#2477C2214yescomplemented
163#2475C2214yescomplemented
164#2473C2214yes—
165#2472C2214yes—
166#2472C2214yes—
167#2469C2212yescomplemented
168#2468C2214yes—
169#2468C2212yes—
170#2461C2214yes—
171#2459C2214yes—
172#2458C2212yescomplemented
173#2457C2212yes—
174#2455C2214yes—
175#2455C2214yes—
176#2454C2211yescharacteristic
177#2453C2211yescharacteristic, complemented
178#2452C2212yes—
179#2452C2212yescomplemented
180#2451C2214yescomplemented
181#2451C2212yescomplemented
182#2449C2214yes—
183#2449C2214yescomplemented
184#2448C2211yescharacteristic, complemented
185#2447C2212yes—
186#2447C2211yescharacteristic
187#2443C2214yes—
188#2443C2212yes—
189#2443C2214yescomplemented
190#2442C2212yes—
191#2442C2214yes—
192#2442C2211yescharacteristic
193#2442C2211yescharacteristic
194#2442C2212yescomplemented
195#2442C2212yescomplemented
196#2442C2212yescomplemented
197#2442C2214yescomplemented
198#2442C2212yescomplemented
199#2441C2212yescomplemented
200#2441C2212yescomplemented
201#2440C2212yes—
202#2440C2214yes—
203#2440C2214yes—
204#2440C2212yes—
205#2440C2212yes—
206#2440C2212yescomplemented
207#2440C2212yescomplemented
208#2440C2212yescomplemented
209#2440C2212yescomplemented
210#2440C2212yescomplemented
211#2440C2214yescomplemented
212#2440C2212yescomplemented
213#2436C2211yescharacteristic
214#2435C2211yescharacteristic
215#2434C2212yes—
216#2434C2212yescomplemented
217#2427C2212yes—
218#2427C2211yescharacteristic
219#2427C2212yescomplemented
220#2426C2212yescomplemented
221#2426C2211yescharacteristic, complemented
222#2423C2212yescomplemented
223#2423C2212yescomplemented
224#2422C2212yes—
225#2422C2212yes—
226#2422C2212yes—
227#2421C2211yescharacteristic, complemented
228#2420C2212yes—
229#2420C2211yescharacteristic
230#2418C2214yes—
231#2418C2214yes—
232#2418C2212yes—
233#2417C2212yes—
234#2417C2211yescharacteristic
235#2417C2214yes—
236#2417C2212yescomplemented
237#2416C2211yescharacteristic
238#2416C2212yescomplemented
239#2415C2214yes—
240#2415C2212yescomplemented
241#2415C2214yescomplemented
242#2414C2212yes—
243#2413C2214yescomplemented
244#2409C2214yes—
245#2409C2211yescharacteristic
246#2409C2214yescomplemented
247#2408C2211yescharacteristic
248#2408C2212yes—
249#2407C2214yes—
250#2406C2214yescomplemented
251#2398C2212yescomplemented
252#2396C2212yescomplemented
253#2395C2212yes—
254#2392C2212yes—
255#2378C2214yescomplemented
256#2370C2212yescomplemented
257#2369C2211yescharacteristic, complemented
258#2363C2212yes—
259#2362C2212yescomplemented
260#2361C2212yes—
261#2361C2212yes—
262#2361C2212yes—
263#2361C2212yescomplemented
264#2354C2212yes—
265#2354C2211yescharacteristic
266#2352C2214yes—
267#2352C2212yes—
268Q8×C4⋊C4C2212yescomplemented
269Q8×C4⋊C4C2211yescharacteristic, complemented
270D4×C4⋊C4C2212yes—
271D4×C4⋊C4C2212yes—
272D4×C4⋊C4C2212yes—
273D4×C4⋊C4C2212yescomplemented
274#2344C2212yescomplemented
275Q8×C22⋊C4C2212yes—
276#2330C2212yescomplemented
277#2326C2212yes—
278#2324C2212yes—
279#2323C2214yescomplemented
280#2323C2212yescomplemented
281#2319C2212yes—
282#2317C2212yescomplemented
283#2317C2212yescomplemented
284#2316C2212yescomplemented
285C4×C4⋊Q8C2211yescharacteristic, complemented
286C4×#124C2211yescharacteristic
287C4×#124C2211yescharacteristic, complemented
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2212yes—
290C4×C22⋊Q8C2211yescharacteristic, complemented
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic
293C4×#121C2212yes—
294C4×#120C2212yes—
295#2295C2211yescharacteristic, complemented
296#2293C2211yescharacteristic
297#2290C2212yes—
298#2280C2212yes—
299#2280C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2314yes—
302C23×Q8C2311yescharacteristic
303C23×Q8C2312yes—
304C23×Q8C2312yes—
305C23×D4C2311yescharacteristic
306C24×C4C2312yes—
307C24×C4C2314yes—
308#563—232no—
309Q82—28no—
310#555—28no—
311#554—28no—
312#554—28no—
313#554—216no—
314#554—216no—
315#554—232no—
316#554—28no—
317#554—28no—
318#554—216no—
319#554—216no—
320#554D4116yescomplemented
321#552—216no—
322#552—216no—
323D4×Q8—48no—
324#547—216no—
325#547—216no—
326#544—216no—
327#544—216no—
328#542—216no—
329#542—216no—
330#536—232no—
331C2×C4⋊Q8—28no—
332C2×C4⋊Q8—28no—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2314yes—
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2312yes—
348C2×C4⋊Q8C2311yescharacteristic
349#529—28no—
350#529—28no—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#125—216no—
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2314yes—
360C2×#125C2314yes—
361C2×#125C2311yescharacteristic
362C2×#125C2311yescharacteristic
363C2×#125C2314yes—
364C2×#125C2312yes—
365C2×#125C2314yes—
366C2×#125C2312yes—
367C2×#124C2311yescharacteristic
368C2×#124C2311yescharacteristic
369C2×#124C2311yescharacteristic
370C2×#124C2314yes—
371C2×#124C2314yes—
372C2×#124C2311yescharacteristic
373#525—416no—
374C2×#123C2314yes—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×C22⋊Q8—232no—
384C2×C22⋊Q8—216no—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2314yes—
418C2×#121C2312yes—
419C2×#121C2311yescharacteristic
420C2×#121C2312yes—
421C2×#121C2311yescharacteristic
422C2×#121C2311yescharacteristic
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#120C2312yes—
429C2×#120C2314yes—
430C2×C4×Q8—28no—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×D4—216no—
443C2×C4×D4—28no—
444C2×C4×D4C2312yes—
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2312yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2312yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2314yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2311yescharacteristic
459C2×C4×D4C2312yes—
460C2×C4×D4C2314yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2314yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2312yes—
473C2×#117C2314yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2314yes—
477C22×C4⋊C4—216no—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2312yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2312yes—
482C22×C4⋊C4C2312yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2311yescharacteristic
486C22×C4⋊C4C2314yes—
487C22×C4⋊C4C2314yes—
488C22×C4⋊C4C2311yescharacteristic
489C22×C4⋊C4C2314yes—
490C22×C4⋊C4C2312yes—
491C22×C4⋊C4C2314yes—
492C22×C4⋊C4C2312yes—
493C22×C4⋊C4C2312yes—
494C22×C22⋊C4C2314yes—
495C22×C22⋊C4C2312yes—
496C22×C42C2312yes—
497C22×C42C2311yescharacteristic
498C22×C42C2311yescharacteristic
499#400C2312yes—
500#400C2314yes—
501#400C2314yes—
502#400C2314yes—
503#400C2314yes—
504#400C2312yes—
505#400C2314yes—
506#400C2314yes—
507#400C2312yes—
508#400C2312yes—
509#399C2312yes—
510#399C2312yes—
511#399C2314yes—
512#399C2314yes—
513#399C2314yes—
514#399C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2312yes—
521#398C2314yes—
522#398C2314yes—
523#398C2312yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2312yes—
532#398C2312yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#397C2312yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2312yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#397C2312yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2314yes—
551#397C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2314yes—
557#396C2314yes—
558#396C2312yes—
559#396C2312yes—
560#396C2312yes—
561#396C2312yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#395C2314yes—
567#395C2314yes—
568#395C2314yes—
569#395C2314yes—
570#395C2314yes—
571#395C2314yes—
572#395C2314yes—
573#395C2312yes—
574#395C2314yes—
575#394C2314yes—
576#394C2312yes—
577#394C2312yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2312yes—
583#394C2314yes—
584#394C2312yes—
585#394C2314yes—
586#394C2312yes—
587#394C2312yes—
588#394C2312yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#393C2314yes—
593#393C2314yes—
594#393C2314yes—
595#393C2312yes—
596#393C2312yes—
597#393C2312yes—
598#393C2314yes—
599#392C2314yes—
600#392C2312yes—
601#391C2312yes—
602#391C2311yescharacteristic
603#391C2312yes—
604#391C2312yes—
605#391C2314yes—
606#391C2311yescharacteristic
607#391C2314yes—
608#391C2312yes—
609#391C2311yescharacteristic
610#391C2312yes—
611#391C2314yes—
612#391C2314yes—
613#391C2312yes—
614#391C2312yes—
615#391C2311yescharacteristic
616#391C2314yes—
617#391C2314yes—
618#391C2311yescharacteristic
619#391C2311yescharacteristic
620#390C2312yes—
621#390C2312yes—
622#390C2311yescharacteristic
623#390C2312yes—
624#390C2311yescharacteristic
625#390C2314yes—
626#390C2311yescharacteristic
627#390C2311yescharacteristic
628#390C2311yescharacteristic
629#390C2314yes—
630#390C2312yes—
631#390C2311yescharacteristic
632#389C2312yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2314yes—
643#389C2312yes—
644#389C2312yes—
645#389C2314yes—
646#389C2311yescharacteristic
647#389C2312yes—
648#389C2312yes—
649#389C2314yes—
650#389C2314yes—
651#389C2312yes—
652#389C2314yes—
653#389C2314yes—
654#389C2312yes—
655#389C2314yes—
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2312yes—
659#389C2314yes—
660#389C2314yes—
661#389C2314yes—
662#389C2314yes—
663#389C2314yes—
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2312yes—
667#389C2314yes—
668#389C2311yescharacteristic
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2312yes—
693#388C2312yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#388C2312yes—
698#387C2314yes—
699#387C2314yes—
700#387C2312yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2312yes—
709#387C2312yes—
710#387C2314yes—
711#387C2312yes—
712#387C2312yes—
713#387C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2312yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2312yes—
753#385C2312yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#385C2312yes—
758#384C2311yescharacteristic
759#384C2312yes—
760#384C2312yes—
761#384C2312yes—
762#384C2314yes—
763#384C2312yes—
764#384C2314yes—
765#384C2312yes—
766#384C2312yes—
767#384C2312yes—
768#382C2312yes—
769#382C2312yes—
770#382C2311yescharacteristic
771#382C2314yes—
772#382C2314yes—
773#382C2311yescharacteristic
774#381C2314yes—
775#381C2314yes—
776#381C2312yes—
777#381C2314yes—
778#381C2312yes—
779#380C2311yescharacteristic
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2314yes—
787#380C2314yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2314yes—
792#380C2314yes—
793#380C2314yes—
794#380C2314yes—
795#380C2311yescharacteristic
796#380C2312yes—
797#380C2312yes—
798#380C2311yescharacteristic
799#380C2314yes—
800#380C2314yes—
801#380C2311yescharacteristic
802#380C2312yes—
803#380C2312yes—
804#380C2312yes—
805#380C2312yes—
806#380C2312yes—
807#379C2312yes—
808#379C2314yes—
809#379C2312yes—
810#379C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2311yescharacteristic
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2311yescharacteristic
845#376C2312yes—
846C43C2311yescharacteristic
847C25C2412yes—
848C2×#41—216no—
849C2×#41—48no—
850C2×#41—84no—
851C22×Q8—24no—
852C22×Q8—28no—
853C22×Q8—28no—
854C22×Q8—24no—
855C22×Q8—44no—
856C22×Q8—44no—
857C22×Q8—42no—
858C22×Q8—82no—
859C22×Q8—82no—
860C22×Q8C2411yescharacteristic
861C22×Q8C2411yescharacteristic
862C22×Q8C2412yes—
863C22×Q8C2411yescharacteristic
864C22×Q8C2414yes—
865C22×Q8C2412yes—
866C22×Q8C2414yes—
867C22×Q8C2414yes—
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×D4—24no—
871C22×D4—24no—
872C22×D4—24no—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2414yes—
883C22×D4C2414yes—
884C23×C4—28no—
885C23×C4—28no—
886C23×C4—216no—
887C23×C4—44no—
888C23×C4—48no—
889C23×C4—84no—
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2414yes—
898C23×C4C2412yes—
899C23×C4C2414yes—
900C23×C4C2412yes—
901C23×C4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2414yes—
907C23×C4C2414yes—
908C23×C4C2414yes—
909C23×C4C2414yes—
910C23×C4C2414yes—
911C4⋊Q8—28no—
912C4⋊Q8—28no—
913C4⋊Q8—28no—
914C4⋊Q8—28no—
915C4⋊Q8—28no—
916C4⋊Q8—28no—
917C4⋊Q8—216no—
918C4⋊Q8—216no—
919C4⋊Q8—28no—
920C4⋊Q8—24no—
921C4⋊Q8—24no—
922C4⋊Q8—28no—
923C4⋊Q8—48no—
924C4⋊Q8—44no—
925C4⋊Q8—82no—
926C4⋊Q8C2×D418yes—
927#126—28no—
928#126—216no—
929#126—28no—
930#126—216no—
931#125—216no—
932#125—28no—
933#125—28no—
934#125—216no—
935#125—24no—
936#125—24no—
937#125—28no—
938#125—216no—
939#125—216no—
940#125—28no—
941#125C2×D4116yes—
942#124—24no—
943#124—24no—
944#124—24no—
945#124—216no—
946#124—216no—
947#124—42no—
948#123—216no—
949#123—28no—
950#123—216no—
951#123—28no—
952#123—216no—
953#123—216no—
954#123—48no—
955#123—48no—
956#123—84no—
957C22⋊Q8—216no—
958C22⋊Q8—28no—
959C22⋊Q8—24no—
960C22⋊Q8—216no—
961C22⋊Q8—216no—
962C22⋊Q8—28no—
963C22⋊Q8—216no—
964C22⋊Q8—216no—
965C22⋊Q8—24no—
966C22⋊Q8—216no—
967C22⋊Q8—216no—
968C22⋊Q8—216no—
969C22⋊Q8—216no—
970C22⋊Q8—28no—
971C22⋊Q8—24no—
972C22⋊Q8—216no—
973C22⋊Q8—28no—
974C22⋊Q8—216no—
975C22⋊Q8—216no—
976C22⋊Q8—216no—
977C22⋊Q8—216no—
978C22⋊Q8—48no—
979C22⋊Q8—44no—
980C22⋊Q8—48no—
981C22⋊Q8—44no—
982C22⋊Q8—48no—
983C22⋊Q8—48no—
984C22⋊Q8—42no—
985C22⋊Q8—84no—
986C22⋊Q8—84no—
987C22⋊Q8—84no—
988C22⋊Q8C2×D4132yes—
989C22⋊Q8C2×D4116yes—
990#121—24no—
991#121—28no—
992#121—28no—
993#121—24no—
994#121—28no—
995#121—28no—
996#121—24no—
997#121—24no—
998#121—48no—
999#121—44no—
1000#120—28no—
1001#120—48no—
1002C4×Q8—24no—
1003C4×Q8—28no—
1004C4×Q8—28no—
1005C4×Q8—24no—
1006C4×Q8—24no—
1007C4×Q8—28no—
1008C4×Q8—24no—
1009C4×Q8—28no—
1010C4×Q8—44no—
1011C4×Q8—44no—
1012C4×Q8C2×D418yes—
1013C4×D4—28no—
1014C4×D4—24no—
1015C4×D4—216no—
1016C4×D4—24no—
1017C4×D4—216no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—24no—
1021C4×D4—28no—
1022C4×D4—24no—
1023C4×D4—28no—
1024C4×D4—24no—
1025C4×D4—28no—
1026C4×D4—216no—
1027C4×D4—28no—
1028C4×D4—24no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—24no—
1032C4×D4—48no—
1033C4×D4—44no—
1034C4×D4—48no—
1035C4×D4—48no—
1036C4×D4C2×D418yes—
1037C4×D4C2×D4116yes—
1038#117—28no—
1039#117—28no—
1040#117—216no—
1041#117—28no—
1042#117—28no—
1043#117—44no—
1044#117—48no—
1045#117—44no—
1046C2×C4⋊C4—216no—
1047C2×C4⋊C4—28no—
1048C2×C4⋊C4—24no—
1049C2×C4⋊C4—216no—
1050C2×C4⋊C4—28no—
1051C2×C4⋊C4—28no—
1052C2×C4⋊C4—216no—
1053C2×C4⋊C4—28no—
1054C2×C4⋊C4—24no—
1055C2×C4⋊C4—28no—
1056C2×C4⋊C4—28no—
1057C2×C4⋊C4—216no—
1058C2×C4⋊C4—28no—
1059C2×C4⋊C4—28no—
1060C2×C4⋊C4—28no—
1061C2×C4⋊C4C2×D4116yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2412yes—
1138C2×C22⋊C4—216no—
1139C2×C22⋊C4—28no—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2411yescharacteristic
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2411yescharacteristic
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C42—28no—
1201C2×C42—24no—
1202C2×C42—24no—
1203C2×C42C2414yes—
1204C2×C42C2411yescharacteristic
1205C2×C42C2411yescharacteristic
1206C2×C42C2411yescharacteristic
1207C2×C42C2412yes—
1208C2×C42C2414yes—
1209C2×C42C2412yes—
1210C2×C42C2414yes—
1211C2×C42C2412yes—
1212C2×C42C2412yes—
1213C2×C42C2412yes—
1214C2×C42C2411yescharacteristic
1215C2×C42C2411yescharacteristic
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2412yes—
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2414yes—
1224C2×C42C2414yes—
1225C2×C42C2414yes—
1226C2×C42C2411yescharacteristic
1227C2×C42C2412yes—
1228C2×C42C2411yescharacteristic
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2411yescharacteristic
1235#95C2411yescharacteristic
1236#95C2411yescharacteristic
1237#95C2411yescharacteristic
1238#95C2411yescharacteristic
1239#95C2411yescharacteristic
1240#95C2412yes—
1241#95C2412yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2414yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2414yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287C24—24no—
1288C24—24no—
1289C24—24no—
1290C24—24no—
1291C24—24no—
1292C24—42no—
1293C24—42no—
1294C24C2512yes—
1295C24C2512yes—
1296C24C2511yescharacteristic
1297C24C2512yes—
1298C24C2511yescharacteristic
1299#41—832no—
1300C2×Q8—22no—
1301C2×Q8—24no—
1302C2×Q8—22no—
1303C2×Q8—28no—
1304C2×Q8—24no—
1305C2×Q8—28no—
1306C2×Q8—28no—
1307C2×Q8—24no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—22no—
1311C2×Q8—24no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—42no—
1316C2×Q8—42no—
1317C2×Q8—42no—
1318C2×Q8—44no—
1319C2×Q8—44no—
1320C2×Q8—44no—
1321C2×Q8—42no—
1322C2×Q8—42no—
1323C2×Q8—44no—
1324C2×Q8—44no—
1325C2×Q8—44no—
1326C2×Q8—42no—
1327C2×Q8—42no—
1328C2×Q8—416no—
1329C2×Q8—816no—
1330C2×Q8—816no—
1331C2×Q8C22×D414yes—
1332C2×Q8C22×D418yes—
1333C2×D4—232no—
1334C2×D4—24no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—28no—
1347C2×D4—28no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—22no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—42no—
1358C2×D4—42no—
1359C2×D4—42no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4C22×D414yes—
1365C2×D4H(5,𝔽2)14yes—
1366C2×D42−1+414yes—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—24no—
1372C22×C4—22no—
1373C22×C4—24no—
1374C22×C4—28no—
1375C22×C4—28no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—28no—
1382C22×C4—24no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—28no—
1390C22×C4—28no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—28no—
1405C22×C4—28no—
1406C22×C4—28no—
1407C22×C4—44no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—42no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4—42no—
1415C22×C4—41no—
1416C22×C4—41no—
1417C22×C4—44no—
1418C22×C4—432no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—44no—
1427C22×C4—832no—
1428C22×C4C22×D418yes—
1429C22×C4C22×D4116yes—
1430C22×C42−1+414yes—
1431C22×C42−1+414yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2511yescharacteristic
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2512yes—
1438C22×C4C2514yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2511yescharacteristic
1447C22×C4C2511yescharacteristic
1448C22×C4C2514yes—
1449C22×C4C2512yes—
1450C22×C4C2512yes—
1451C22×C4C2514yes—
1452C22×C4C2512yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2512yes—
1455C22×C4C2514yes—
1456C22×C4C2512yes—
1457C22×C4C2511yescharacteristic
1458C22×C4C2511yescharacteristic
1459C22×C4C2511yescharacteristic
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C4⋊C4—24no—
1463C4⋊C4—22no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—28no—
1467C4⋊C4—28no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—22no—
1474C4⋊C4—28no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—28no—
1480C4⋊C4—28no—
1481C4⋊C4—28no—
1482C4⋊C4—28no—
1483C4⋊C4—28no—
1484C4⋊C4—28no—
1485C4⋊C4—22no—
1486C4⋊C4—28no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—28no—
1495C4⋊C4—28no—
1496C4⋊C4—24no—
1497C4⋊C4—28no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—24no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—24no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4—44no—
1512C4⋊C4—42no—
1513C4⋊C4—44no—
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—42no—
1524C4⋊C4—44no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4—44no—
1530C4⋊C4—44no—
1531C4⋊C4C22×D414yes—
1532C4⋊C4C22×D418yes—
1533C4⋊C4C22×D418yes—
1534C4⋊C4C22×D4116yes—
1535C4⋊C4C22×D414yes—
1536C4⋊C4C22×D4116yes—
1537C4⋊C4C22×D418yes—
1538C22⋊C4—28no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—28no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—28no—
1545C22⋊C4—28no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—22no—
1551C22⋊C4—24no—
1552C22⋊C4—22no—
1553C22⋊C4—24no—
1554C22⋊C4—28no—
1555C22⋊C4—24no—
1556C22⋊C4—24no—
1557C22⋊C4—24no—
1558C22⋊C4—28no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—28no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—28no—
1566C22⋊C4—24no—
1567C22⋊C4—28no—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—22no—
1574C22⋊C4—24no—
1575C22⋊C4—22no—
1576C22⋊C4—24no—
1577C22⋊C4—42no—
1578C22⋊C4—42no—
1579C22⋊C4—44no—
1580C22⋊C4—44no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—42no—
1596C22⋊C4C22×D4116yes—
1597C22⋊C4C22×D418yes—
1598C42—22no—
1599C42—22no—
1600C42—24no—
1601C42—24no—
1602C42—24no—
1603C42—22no—
1604C42—22no—
1605C42—22no—
1606C42—22no—
1607C42—28no—
1608C42—24no—
1609C42—28no—
1610C42—28no—
1611C42—22no—
1612C42—22no—
1613C42—22no—
1614C42—24no—
1615C42—22no—
1616C42—22no—
1617C42—24no—
1618C42—44no—
1619C42—44no—
1620C42—44no—
1621C42—41no—
1622C42C22×D414yes—
1623C42C22×D418yes—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—21no—
1628C23—216no—
1629C23—22no—
1630C23—21no—
1631C23—22no—
1632C23—22no—
1633C23—21no—
1634C23—21no—
1635C23—22no—
1636C23—22no—
1637C23—21no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—21no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—21no—
1647C23—22no—
1648C23—22no—
1649C23—22no—
1650C23—22no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—48no—
1655C23—48no—
1656C23—48no—
1657C23—48no—
1658C23—48no—
1659C23—48no—
1660C23C23×D414yes—
1661C23C2×H(5,𝔽2)12yes—
1662C23C2×H(5,𝔽2)12yes—
1663C23C2×2−1+414yes—
1664C23C2×2−1+412yes—
1665C23C2×2−1+412yes—
1666C23C2611yescharacteristic
1667Q8—28no—
1668Q8—48no—
1669Q8—48no—
1670Q8—44no—
1671Q8—44no—
1672Q8—88no—
1673Q8—88no—
1674Q8—84no—
1675Q8—84no—
1676Q8—88no—
1677D4—216no—
1678D4—28no—
1679D4—28no—
1680D4—28no—
1681D4—48no—
1682D4—48no—
1683D4—48no—
1684D4—48no—
1685D4—44no—
1686D4—88no—
1687D4—88no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—24no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—28no—
1705C2×C4—28no—
1706C2×C4—216no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—24no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—24no—
1719C2×C4—24no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—24no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—24no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—22no—
1766C2×C4—24no—
1767C2×C4—416no—
1768C2×C4—48no—
1769C2×C4—48no—
1770C2×C4—48no—
1771C2×C4—48no—
1772C2×C4—416no—
1773C2×C4—48no—
1774C2×C4—44no—
1775C2×C4—44no—
1776C2×C4—416no—
1777C2×C4—44no—
1778C2×C4—48no—
1779C2×C4—44no—
1780C2×C4—48no—
1781C2×C4—88no—
1782C2×C4—88no—
1783C2×C4—88no—
1784C2×C4—88no—
1785C2×C4C23×D414yes—
1786C2×C4C23×D412yes—
1787C2×C4C23×D414yes—
1788C2×C4C23×D414yes—
1789C2×C4C23×D418yes—
1790C2×C4C23×D412yes—
1791C2×C4C23×D412yes—
1792C2×C4C2×H(5,𝔽2)12yes—
1793C2×C4C2×2−1+412yes—
1794C2×C4C2×2−1+412yes—
1795C2×C4C2×2−1+412yes—
1796C2×C4C2×2−1+412yes—
1797C2×C4C2×2−1+412yes—
1798C2×C4#58512yes—
1799C22—22no—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—24no—
1807C22—22no—
1808C22—22no—
1809C22—24no—
1810C22—24no—
1811C22—24no—
1812C22—24no—
1813C22—24no—
1814C22—432no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—41no—
1820C22—42no—
1821C22—41no—
1822C22—41no—
1823C22—42no—
1824C22—42no—
1825C22—41no—
1826C22—42no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22#354414yescomplemented
1835C22C24×D411yescharacteristic
1836C22C22×H(5,𝔽2)11yescharacteristic
1837C22C22×2−1+411yescharacteristic
1838C22C22×2−1+411yescharacteristic
1839C22C22×2−1+411yescharacteristic
1840C22C2×#58511yescharacteristic
1841C22H(7,𝔽2)11yescharacteristic
1842C4—24no—
1843C4—28no—
1844C4—22no—
1845C4—22no—
1846C4—22no—
1847C4—22no—
1848C4—24no—
1849C4—24no—
1850C4—42no—
1851C4—44no—
1852C4—44no—
1853C4—41no—
1854C4—41no—
1855C4—42no—
1856C4—42no—
1857C4—41no—
1858C4—42no—
1859C4—44no—
1860C4—41no—
1861C4—42no—
1862C4—42no—
1863C4—41no—
1864C4—42no—
1865C4—42no—
1866C4—41no—
1867C4—42no—
1868C4—42no—
1869C4—41no—
1870C4#348614yes—
1871C4#348914yes—
1872C2—24no—
1873C2—42no—
1874C2—44no—
1875C2—44no—
1876C2—82no—
1877C2C2×#354411yescharacteristic
1878C2C2×#348611yescharacteristic
1879C2C2×#348911yescharacteristic
1880C2#6292611yescharacteristic
1881C2#6294511yescharacteristic
1882C2D4×H(5,𝔽2)11yescharacteristic
1883C2#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×#3544C2semidirect
2. C22×#554C2semidirect
3. #59660C2semidirect
4. #59140C2semidirect
5. #59136C2semidirect
6. #59136C2semidirect
7. #59027C2semidirect
8. #51580C2semidirect
9. #51525C2semidirect
10. #45446C2semidirect
11. #45071C2semidirect
12. #44989C2semidirect
13. #44941C2semidirect
14. #44921C2semidirect
15. #42482C2semidirect
16. #42477C2semidirect
17. #42442C2semidirect
18. #42436C2semidirect
19. #39617C2semidirect
20. #39489C2semidirect
21. #39126C2semidirect
22. #38921C2semidirect
23. #37687C2semidirect
24. #37665C2semidirect
25. #37651C2semidirect
26. Q8×C22⋊Q8C2semidirect
27. #36160C2semidirect
28. D4×C4⋊Q8C2semidirect
29. #36103C2semidirect
30. #36100C2semidirect
31. #35225C2semidirect
32. #35224C2semidirect
33. #34708C2semidirect
34. #34700C2semidirect
35. #34484C2semidirect
37. C2×#563C22semidirect
38. C2×Q82C22semidirect
50. C2×#554C22semidirect
51. C2×#552C22semidirect
52. C2×#552C22semidirect
55. C2×#547C22semidirect
56. C2×#544C22semidirect
57. C2×#544C22semidirect
59. C2×#542C22semidirect
60. C2×#536C22semidirect
62. C22×C4⋊Q8C22semidirect
64. C2×#529C22semidirect
73. #2868C22semidirect
76. #2857C22semidirect
81. #2817C22semidirect
82. #2814C22semidirect
83. #2729C22semidirect
84. #2729C22semidirect
85. #2728C22semidirect
86. #2726C22semidirect
87. #2723C22semidirect
88. #2720C22semidirect
89. #2720C22semidirect
90. #2719C22semidirect
91. #2713C22semidirect
92. #2707C22semidirect
93. #2704C22semidirect
94. #2702C22semidirect
95. #2702C22semidirect
96. #2700C22semidirect
97. #2698C22semidirect
98. #2698C22semidirect
99. #2692C22semidirect
100. #2690C22semidirect
101. #2689C22semidirect
102. #2687C22semidirect
103. #2687C22semidirect
104. #2683C22semidirect
105. #2681C22semidirect
106. #2681C22semidirect
107. #2680C22semidirect
108. #2680C22semidirect
109. #2680C22semidirect
110. #2677C22semidirect
111. #2677C22semidirect
112. #2677C22semidirect
113. #2674C22semidirect
114. #2674C22semidirect
115. #2674C22semidirect
116. #2660C22semidirect
119. #2629C22semidirect
120. #2627C22semidirect
121. #2627C22semidirect
122. #2625C22semidirect
123. #2621C22semidirect
124. #2620C22semidirect
125. #2616C22semidirect
126. #2582C22semidirect
127. #2582C22semidirect
128. #2567C22semidirect
129. #2567C22semidirect
130. #2567C22semidirect
131. #2565C22semidirect
133. #2563C22semidirect
134. #2562C22semidirect
135. #2556C22semidirect
136. #2552C22semidirect
137. #2551C22semidirect
138. #2551C22semidirect
139. #2550C22semidirect
140. #2550C22semidirect
141. #2546C22semidirect
143. #2542C22semidirect
146. #2536C22semidirect
147. #2536C22semidirect
148. #2519C22semidirect
149. #2501C22semidirect
150. #2499C22semidirect
151. #2492C22semidirect
152. #2492C22semidirect
153. #2489C22semidirect
154. #2489C22semidirect
155. #2489C22semidirect
156. #2486C22semidirect
162. #2477C22semidirect
163. #2475C22semidirect
167. #2469C22semidirect
172. #2458C22semidirect
177. #2453C22semidirect
179. #2452C22semidirect
180. #2451C22semidirect
181. #2451C22semidirect
183. #2449C22semidirect
184. #2448C22semidirect
189. #2443C22semidirect
194. #2442C22semidirect
195. #2442C22semidirect
196. #2442C22semidirect
197. #2442C22semidirect
198. #2442C22semidirect
199. #2441C22semidirect
200. #2441C22semidirect
206. #2440C22semidirect
207. #2440C22semidirect
208. #2440C22semidirect
209. #2440C22semidirect
210. #2440C22semidirect
211. #2440C22semidirect
212. #2440C22semidirect
216. #2434C22semidirect
219. #2427C22semidirect
220. #2426C22semidirect
221. #2426C22semidirect
222. #2423C22semidirect
223. #2423C22semidirect
227. #2421C22semidirect
236. #2417C22semidirect
238. #2416C22semidirect
240. #2415C22semidirect
241. #2415C22semidirect
243. #2413C22semidirect
246. #2409C22semidirect
250. #2406C22semidirect
251. #2398C22semidirect
252. #2396C22semidirect
255. #2378C22semidirect
256. #2370C22semidirect
257. #2369C22semidirect
259. #2362C22semidirect
263. #2361C22semidirect
268. Q8×C4⋊C4C22semidirect
269. Q8×C4⋊C4C22semidirect
273. D4×C4⋊C4C22semidirect
274. #2344C22semidirect
276. #2330C22semidirect
279. #2323C22semidirect
280. #2323C22semidirect
282. #2317C22semidirect
283. #2317C22semidirect
284. #2316C22semidirect
285. C4×C4⋊Q8C22semidirect
287. C4×#124C22semidirect
290. C4×C22⋊Q8C22semidirect
295. #2295C22semidirect
320. #554D4semidirect
1834. C22#3544semidirect

Maximal subgroups

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

subgroupindex
C2×#35442
C22×#5542
#596602
#591402
#591362
#590272
#515802
#515252
#454462
#450712
#449892
#449412
#449212
#424822
#424772
#424422
#424362
#396172
#394892
#391262
#389212
#376872
#376652
#376512
Q8×C22⋊Q82
#361602
D4×C4⋊Q82
#361032
#361002
#352252
#352242
#347082
#347002
#344842