Finite Group Databasebeta

← #7691777

Subgroups — #7691777

Order 512.

7226 conjugacy classes of subgroups.

The subgroup lattice has 1896 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3514C211yesmaximal, characteristic, complemented
2C2×Q8×#41C211yesmaximal, characteristic, complemented
3#59653C211yesmaximal, characteristic, complemented
4#59650C212yesmaximal, complemented
5#59132C214yesmaximal, complemented
6#59094C212yesmaximal, complemented
7#59078C211yesmaximal, characteristic, complemented
8#59076C212yesmaximal, complemented
9#59065C211yesmaximal, characteristic, complemented
10#59050C212yesmaximal, complemented
11#45270C212yesmaximal, complemented
12#45102C212yesmaximal, complemented
13#44103C214yesmaximal, complemented
14#43533C214yesmaximal, complemented
15#39168C211yesmaximal, characteristic, complemented
16#39166C212yesmaximal, complemented
17#39125C211yesmaximal, characteristic, complemented
18#39123C212yesmaximal, complemented
19#37711C212yesmaximal, complemented
20#37707C214yesmaximal, complemented
21#36580C211yesmaximal, characteristic, complemented
22#36578C212yesmaximal, complemented
23#36289C211yesmaximal, characteristic, complemented
24#36275C211yesmaximal, characteristic, complemented
25#36258C211yesmaximal, characteristic, complemented
26#36218C212yesmaximal, complemented
27#36150C211yesmaximal, characteristic, complemented
28#36140C212yesmaximal, complemented
29#35847C212yesmaximal, complemented
30#35836C212yesmaximal, complemented
31#34708C211yesmaximal, characteristic, complemented
32C2×#2448C212yesmaximal, complemented
33#34334C211yesmaximal, characteristic, complemented
34#34292C212yesmaximal, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36#3514—216no—
37C2×#559C2211yescharacteristic
38Q8×#41—216no—
39C2×Q82C2211yescharacteristic, complemented
40C2×#557C2211yescharacteristic, complemented
41C2×#557C2212yescomplemented
42C2×#556C2211yescharacteristic
43C2×#555C2212yes—
44C2×#554C2212yes—
45C2×#554C2211yescharacteristic
46C2×#554C2212yescomplemented
47C2×#554C2214yescomplemented
48C2×#551C2214yes—
49C2×D4×Q8C2211yescharacteristic
50C2×D4×Q8C2212yescomplemented
51C2×#548C2212yes—
52C2×#547C2211yescharacteristic
53C2×#546C2212yes—
54C2×#546C2212yes—
55C2×#546C2212yes—
56C2×D42C2211yescharacteristic
57C2×#542C2212yes—
58C2×#538C2214yes—
59C2×#533C2212yescomplemented
60C2×#533C2211yescharacteristic, complemented
61C2×#533C2214yescomplemented
62C2×#533C2212yescomplemented
63C2×#532C2211yescharacteristic
64C2×#529C2212yes—
65C2×#529C2211yescharacteristic
66C22×#124C2212yes—
67C2×#518C2212yes—
68C2×C4×#41C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2212yes—
71C22×C4×Q8C2212yescomplemented
72C22×C4×Q8C2211yescharacteristic, complemented
73#2858C2211yescharacteristic
74#2857C2211yescharacteristic, complemented
75#2856C2211yescharacteristic
76#2855C2212yescomplemented
77#2854C2212yes—
78#2854C2214yescomplemented
79#2850C2212yes—
80#2850C2212yescomplemented
81#2731C2214yescomplemented
82#2731C2214yescomplemented
83#2731C2214yescomplemented
84#2730C2214yescomplemented
85#2730C2214yescomplemented
86#2730C2214yescomplemented
87#2729C2214yescomplemented
88#2728C2214yescomplemented
89#2725C2214yescomplemented
90#2725C2214yescomplemented
91#2723C2214yescomplemented
92#2723C2214yescomplemented
93#2716C2214yescomplemented
94#2711C2214yescomplemented
95#2711C2214yescomplemented
96#2711C2214yescomplemented
97#2707C2214yescomplemented
98#2696C2214yescomplemented
99#2674C2214yescomplemented
100#2674C2214yescomplemented
101#2674C2214yescomplemented
102#2640C2212yescomplemented
103#2639C2214yescomplemented
104#2628C2212yescomplemented
105#2626C2214yescomplemented
106#2592C2212yescomplemented
107#2582C2211yescharacteristic, complemented
108#2580C2212yescomplemented
109#2567C2211yescharacteristic, complemented
110#2564C2214yescomplemented
111#2563C2211yescharacteristic
112#2561C2214yescomplemented
113#2558C2214yescomplemented
114#2550C2212yescomplemented
115#2548C2211yescharacteristic
116#2548C2211yescharacteristic
117#2547C2212yescomplemented
118#2545C2212yes—
119#2545C2212yescomplemented
120#2545C2212yescomplemented
121#2543C2214yescomplemented
122#2542C2212yescomplemented
123#2540C2214yescomplemented
124#2540C2212yescomplemented
125#2538C2211yescharacteristic
126#2536C2212yescomplemented
127#2534C2214yescomplemented
128#2519C2214yescomplemented
129#2519C2214yescomplemented
130#2504C2212yes—
131#2504C2214yescomplemented
132#2491C2212yes—
133#2490C2212yes—
134#2490C2212yes—
135#2490C2212yescomplemented
136#2490C2212yescomplemented
137#2489C2212yescomplemented
138#2489C2212yescomplemented
139#2488C2214yescomplemented
140#2488C2214yescomplemented
141#2487C2212yescomplemented
142#2487C2214yescomplemented
143#2481C2212yescomplemented
144#2475C2214yescomplemented
145#2475C2214yescomplemented
146#2472C2214yes—
147#2472C2214yes—
148#2472C2214yescomplemented
149#2472C2214yescomplemented
150#2469C2214yescomplemented
151#2469C2214yescomplemented
152#2469C2212yescomplemented
153#2460C2214yescomplemented
154#2458C2212yescomplemented
155#2458C2214yescomplemented
156#2458C2214yescomplemented
157#2454C2212yescomplemented
158#2454C2212yescomplemented
159#2453C2211yescharacteristic, complemented
160#2453C2212yescomplemented
161#2452C2212yescomplemented
162#2452C2212yescomplemented
163#2449C2214yescomplemented
164#2449C2214yescomplemented
165#2449C2214yescomplemented
166#2448C2212yes—
167#2448C2211yescharacteristic
168#2448C2212yes—
169#2448C2212yes—
170#2448C2212yescomplemented
171#2448C2212yescomplemented
172#2448C2214yescomplemented
173#2448C2212yescomplemented
174#2448C2214yescomplemented
175#2448C2214yescomplemented
176#2448C2214yescomplemented
177#2448C2214yescomplemented
178#2448C2214yescomplemented
179#2448C2212yescomplemented
180#2448C2212yescomplemented
181#2446C2212yescomplemented
182#2443C2214yescomplemented
183#2443C2212yescomplemented
184#2442C2211yescharacteristic, complemented
185#2441C2212yescomplemented
186#2441C2212yescomplemented
187#2441C2212yescomplemented
188#2438C2214yescomplemented
189#2437C2214yescomplemented
190#2437C2214yescomplemented
191#2436C2211yescharacteristic
192#2436C2212yescomplemented
193#2435C2212yes—
194#2432C2212yescomplemented
195#2429C2212yescomplemented
196#2427C2212yescomplemented
197#2426C2212yes—
198#2426C2212yes—
199#2426C2211yescharacteristic
200#2426C2212yescomplemented
201#2426C2212yescomplemented
202#2426C2214yescomplemented
203#2426C2212yescomplemented
204#2425C2214yescomplemented
205#2424C2214yes—
206#2424C2214yescomplemented
207#2421C2214yescomplemented
208#2421C2214yescomplemented
209#2421C2211yescharacteristic, complemented
210#2421C2212yescomplemented
211#2421C2212yescomplemented
212#2417C2212yescomplemented
213#2416C2211yescharacteristic
214#2416C2212yes—
215#2415C2214yescomplemented
216#2415C2212yescomplemented
217#2414C2212yes—
218#2414C2212yescomplemented
219#2413C2214yescomplemented
220#2411C2214yes—
221#2411C2214yescomplemented
222#2409C2211yescharacteristic, complemented
223#2408C2212yes—
224#2407C2212yescomplemented
225#2398C2212yescomplemented
226#2396C2212yescomplemented
227C2×#399C2214yescomplemented
228C2×#397C2214yescomplemented
229#2369C2212yescomplemented
230#2368C2214yescomplemented
231#2367C2212yescomplemented
232#2367C2212yescomplemented
233#2367C2212yescomplemented
234#2365C2211yescharacteristic, complemented
235#2365C2211yescharacteristic, complemented
236#2363C2212yescomplemented
237#2362C2212yescomplemented
238#2362C2214yescomplemented
239#2362C2211yescharacteristic, complemented
240#2362C2211yescharacteristic, complemented
241#2361C2212yescomplemented
242#2361C2212yescomplemented
243#2361C2214yescomplemented
244#2360C2212yescomplemented
245#2359C2212yescomplemented
246#2359C2214yescomplemented
247#2359C2212yescomplemented
248#2358C2214yescomplemented
249#2355C2211yescharacteristic, complemented
250#2354C2211yescharacteristic, complemented
251#2354C2212yescomplemented
252#2351C2212yescomplemented
253#2351C2212yescomplemented
254#2349C2212yes—
255D4×C4⋊C4C2211yescharacteristic
256D4×C4⋊C4C2211yescharacteristic
257D4×C4⋊C4C2212yes—
258#2344C2212yescomplemented
259#2342C2214yescomplemented
260#2341C2212yescomplemented
261#2341C2212yescomplemented
262Q8×C22⋊C4C2212yescomplemented
263#2339C2211yescharacteristic
264#2339C2212yes—
265#2339C2211yescharacteristic
266D4×C22⋊C4C2212yes—
267D4×C22⋊C4C2212yes—
268D4×C22⋊C4C2212yes—
269#2331C2212yescomplemented
270#2329C2214yescomplemented
271#2326C2212yescomplemented
272#2325C2214yescomplemented
273#2323C2212yescomplemented
274#2321C2214yescomplemented
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2211yescharacteristic, complemented
280C4×C22⋊Q8C2211yescharacteristic, complemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×#123C2212yescomplemented
283C4×#123C2212yescomplemented
284C4×#123C2214yescomplemented
285C4×#121C2211yescharacteristic
286C4×#121C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289#2295C2211yescharacteristic, complemented
290C2×#391C2212yescomplemented
291C2×#390C2212yes—
292C2×#390C2212yes—
293C2×#389C2212yescomplemented
294#2290C2212yescomplemented
295C2×#388C2214yescomplemented
296C2×#388C2214yescomplemented
297#2275C2212yes—
298C42×D4C2211yescharacteristic
299C42×D4C2211yescharacteristic, complemented
300C2×C4×C4⋊C4C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C23×Q8C2311yescharacteristic
305C23×Q8C2312yes—
306C23×D4C2312yes—
307C23×D4C2312yes—
308#559—28no—
309Q82—28no—
310#557—28no—
311#557—216no—
312#556—28no—
313#555—216no—
314#554—216no—
315#554—232no—
316#554—28no—
317#554—216no—
318#551—232no—
319D4×Q8—216no—
320D4×Q8D4116yescomplemented
321#548—216no—
322#547—28no—
323#546—216no—
324#546—216no—
325#546—216no—
326D42—28no—
327#542—216no—
328#538—232no—
329#533—28no—
330#533—216no—
331#533—216no—
332#533—232no—
333#532—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2314yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×#127C2311yescharacteristic
344#529—216no—
345#529—28no—
346C2×#126C2314yes—
347C2×#126C2312yes—
348C2×#126C2314yes—
349C2×#125C2311yescharacteristic
350C2×#125C2312yes—
351C2×#125C2312yes—
352C2×#125C2312yes—
353C2×#125C2314yes—
354C2×#125C2314yes—
355C2×#125C2314yes—
356C2×#124—216no—
357C2×#124C2312yes—
358C2×#124C2312yes—
359C2×#124C2311yescharacteristic
360C2×#124C2312yes—
361C2×#124C2312yes—
362C2×#124C2314yes—
363C2×#124C2312yes—
364C2×#124C2314yes—
365C2×#124C2314yes—
366C2×#124C2312yes—
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2312yes—
370C2×#124C2314yes—
371C2×#123C2314yes—
372C2×#123C2312yes—
373C2×#123C2312yes—
374C2×#123C2314yes—
375C2×#123C2312yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×C22⋊Q8C2314yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2311yescharacteristic
382C2×C22⋊Q8C2311yescharacteristic
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2311yescharacteristic
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2314yes—
394C2×C22⋊Q8C2311yescharacteristic
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2312yes—
399C2×#121C2314yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2312yes—
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2311yescharacteristic
407C2×#121C2312yes—
408C2×#121C2314yes—
409C2×#121C2312yes—
410C2×#121C2311yescharacteristic
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#120C2314yes—
414C2×#120C2314yes—
415C2×#120C2314yes—
416#518—216no—
417C4×#41—28no—
418C4×#41—216no—
419C4×#41—28no—
420C2×C4×Q8—216no—
421C2×C4×Q8—28no—
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2311yescharacteristic
431C2×C4×Q8C2311yescharacteristic
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2314yes—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2314yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2314yes—
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2312yes—
443C2×C4×Q8C2311yescharacteristic
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2314yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2311yescharacteristic
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2312yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2314yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2314yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×#117C2312yes—
472C2×#117C2314yes—
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2311yescharacteristic
476C2×#117C2311yescharacteristic
477C2×#117C2312yes—
478C2×#117C2312yes—
479C2×#117C2314yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2311yescharacteristic
482C22×C4⋊C4C2314yes—
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2312yes—
487C22×C4⋊C4C2314yes—
488C22×C22⋊C4C2314yes—
489C22×C22⋊C4C2314yes—
490C22×C22⋊C4C2314yes—
491C22×C22⋊C4C2314yes—
492C22×C22⋊C4C2314yes—
493C22×C22⋊C4C2314yes—
494C22×C22⋊C4C2314yes—
495C22×C42C2312yes—
496C22×C42C2312yes—
497C22×C42C2314yes—
498C22×C42C2312yes—
499C22×C42C2311yescharacteristic
500C22×C42C2311yescharacteristic
501C22×C42C2312yes—
502#400C2314yes—
503#400C2314yes—
504#400C2314yes—
505#400C2312yes—
506#400C2312yes—
507#400C2312yes—
508#400C2314yes—
509#399C2314yes—
510#399C2314yes—
511#399C2314yes—
512#399C2314yes—
513#399C2312yes—
514#399C2314yes—
515#399C2314yes—
516#399C2314yes—
517#399C2314yes—
518#399C2314yes—
519#398C2314yes—
520#398C2312yes—
521#398C2312yes—
522#398C2314yes—
523#398C2314yes—
524#398C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2312yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2314yes—
535#397C2312yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2312yes—
544#396C2312yes—
545#396C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#395C2312yes—
553#395C2314yes—
554#395C2314yes—
555#394C2314yes—
556#394C2314yes—
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#393C2312yes—
570#393C2314yes—
571#393C2314yes—
572#393C2314yes—
573#393C2312yes—
574#393C2314yes—
575#393C2312yes—
576#393C2314yes—
577#393C2314yes—
578#392C2314yes—
579#392C2314yes—
580#391C2311yescharacteristic
581#391C2311yescharacteristic
582#391C2312yes—
583#391C2312yes—
584#391C2311yescharacteristic
585#391C2312yes—
586#391C2312yes—
587#391C2314yes—
588#391C2314yes—
589#391C2314yes—
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2311yescharacteristic
593#391C2312yes—
594#391C2311yescharacteristic
595#391C2312yes—
596#391C2312yes—
597#391C2314yes—
598#391C2314yes—
599#391C2311yescharacteristic
600#390C2312yes—
601#390C2314yes—
602#390C2314yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2314yes—
613#390C2314yes—
614#390C2312yes—
615#390C2312yes—
616#390C2314yes—
617#390C2314yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2314yes—
622#390C2312yes—
623#390C2312yes—
624#390C2311yescharacteristic
625#390C2314yes—
626#390C2311yescharacteristic
627#390C2314yes—
628#390C2314yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2311yescharacteristic
638#389C2312yes—
639#389C2312yes—
640#389C2314yes—
641#389C2312yes—
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2314yes—
646#389C2314yes—
647#389C2312yes—
648#389C2312yes—
649#389C2311yescharacteristic
650#389C2314yes—
651#389C2314yes—
652#389C2311yescharacteristic
653#389C2312yes—
654#389C2314yes—
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2314yes—
658#388C2314yes—
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#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2312yes—
684#388C2314yes—
685#388C2312yes—
686#388C2312yes—
687#388C2314yes—
688#388C2312yes—
689#388C2312yes—
690#388C2314yes—
691#388C2314yes—
692#388C2312yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2312yes—
698#388C2312yes—
699#388C2312yes—
700#388C2314yes—
701#388C2314yes—
702#388C2312yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2312yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2312yes—
715#387C2312yes—
716#387C2312yes—
717#387C2312yes—
718#387C2312yes—
719#387C2312yes—
720#387C2312yes—
721#387C2312yes—
722#387C2312yes—
723#387C2312yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2314yes—
729#386C2312yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2314yes—
737#386C2314yes—
738#386C2312yes—
739#386C2312yes—
740#386C2314yes—
741#386C2312yes—
742#386C2312yes—
743#386C2312yes—
744#386C2312yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2312yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2312yes—
758#385C2312yes—
759#385C2314yes—
760#385C2312yes—
761#385C2312yes—
762#385C2312yes—
763#385C2312yes—
764#384C2311yescharacteristic
765#384C2311yescharacteristic
766#384C2312yes—
767#382C2312yes—
768#382C2312yes—
769#382C2311yescharacteristic
770#382C2314yes—
771#382C2314yes—
772#381C2312yes—
773#381C2314yes—
774#381C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2314yes—
779#380C2314yes—
780#380C2312yes—
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2311yescharacteristic
786#380C2312yes—
787#380C2314yes—
788#380C2314yes—
789#380C2311yescharacteristic
790#380C2312yes—
791#379C2314yes—
792#379C2314yes—
793#379C2314yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2314yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2312yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2311yescharacteristic
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2311yescharacteristic
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2311yescharacteristic
840#376C2312yes—
841C2×#95C2314yes—
842C2×#95C2314yes—
843C2×#95C2312yes—
844C2×#95C2312yes—
845C2×#95C2314yes—
846C43C2311yescharacteristic
847C25C2414yes—
848C2×#41—28no—
849C2×#41—24no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—44no—
855C2×#41—44no—
856C2×#41#4118yescomplemented
857C22×Q8—24no—
858C22×Q8—44no—
859C22×Q8—44no—
860C22×Q8—42no—
861C22×Q8—42no—
862C22×Q8C2×D4116yes—
863C22×Q8C2411yescharacteristic
864C22×Q8C2411yescharacteristic
865C22×Q8C2412yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2412yes—
869C22×Q8C2414yes—
870C22×Q8C2412yes—
871C22×Q8C2414yes—
872C22×D4—28no—
873C22×D4—28no—
874C22×D4—28no—
875C22×D4—28no—
876C22×D4—44no—
877C22×D4—44no—
878C22×D4C2412yes—
879C22×D4C2414yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2411yescharacteristic
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2414yes—
903C23×C4C2412yes—
904C23×C4C2414yes—
905C23×C4C2412yes—
906C23×C4C2414yes—
907C23×C4C2414yes—
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2414yes—
913C4⋊Q8—28no—
914C4⋊Q8—216no—
915C4⋊Q8—24no—
916C4⋊Q8—28no—
917C4⋊Q8—216no—
918C4⋊Q8—24no—
919C4⋊Q8—28no—
920C4⋊Q8C2×D418yes—
921C4⋊Q8C2×D4116yes—
922#127—24no—
923#126—216no—
924#126—28no—
925#126—216no—
926#125—24no—
927#125—216no—
928#125—216no—
929#125—216no—
930#125—28no—
931#125—28no—
932#125—28no—
933#124—24no—
934#124—28no—
935#124—216no—
936#124—28no—
937#124—28no—
938#124—216no—
939#124—216no—
940#124—28no—
941#124—28no—
942#124—44no—
943#124—44no—
944#124—42no—
945#124—84no—
946#124—82no—
947#123—28no—
948#123—216no—
949#123—28no—
950#123—28no—
951#123—216no—
952#123—216no—
953#123—216no—
954C22⋊Q8—24no—
955C22⋊Q8—28no—
956C22⋊Q8—216no—
957C22⋊Q8—216no—
958C22⋊Q8—28no—
959C22⋊Q8—24no—
960C22⋊Q8—28no—
961C22⋊Q8—216no—
962C22⋊Q8—24no—
963C22⋊Q8—216no—
964C22⋊Q8—28no—
965C22⋊Q8—28no—
966C22⋊Q8—216no—
967C22⋊Q8—216no—
968C22⋊Q8—216no—
969C22⋊Q8—48no—
970C22⋊Q8—42no—
971C22⋊Q8—84no—
972C22⋊Q8—82no—
973C22⋊Q8C2×D4116yes—
974C22⋊Q8C2×D4132yes—
975#121—216no—
976#121—28no—
977#121—28no—
978#121—216no—
979#121—28no—
980#121—24no—
981#121—28no—
982#121—28no—
983#121—216no—
984#121—28no—
985#121—44no—
986#121—44no—
987#121—42no—
988#121—82no—
989#120—216no—
990#120—216no—
991#120—216no—
992C4×Q8—24no—
993C4×Q8—28no—
994C4×Q8—216no—
995C4×Q8—28no—
996C4×Q8—28no—
997C4×Q8—216no—
998C4×Q8—28no—
999C4×Q8—24no—
1000C4×Q8—28no—
1001C4×Q8—24no—
1002C4×Q8—28no—
1003C4×Q8—24no—
1004C4×Q8—216no—
1005C4×Q8—28no—
1006C4×Q8—24no—
1007C4×Q8—28no—
1008C4×Q8—24no—
1009C4×Q8—24no—
1010C4×Q8—28no—
1011C4×Q8—44no—
1012C4×Q8—44no—
1013C4×Q8C2×D418yes—
1014C4×D4—24no—
1015C4×D4—24no—
1016C4×D4—28no—
1017C4×D4—28no—
1018C4×D4—24no—
1019C4×D4—24no—
1020C4×D4—28no—
1021C4×D4—28no—
1022C4×D4—216no—
1023C4×D4—216no—
1024C4×D4—28no—
1025C4×D4—24no—
1026C4×D4—28no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—216no—
1031C4×D4—28no—
1032C4×D4—216no—
1033C4×D4—28no—
1034C4×D4—24no—
1035C4×D4—28no—
1036C4×D4—42no—
1037C4×D4—42no—
1038C4×D4—84no—
1039C4×D4C2×D418yes—
1040C4×D4C2×D4116yes—
1041#117—28no—
1042#117—24no—
1043#117—24no—
1044#117—28no—
1045#117—216no—
1046#117—216no—
1047#117—28no—
1048#117—28no—
1049#117—28no—
1050C2×C4⋊C4—28no—
1051C2×C4⋊C4—216no—
1052C2×C4⋊C4—28no—
1053C2×C4⋊C4—24no—
1054C2×C4⋊C4—28no—
1055C2×C4⋊C4—44no—
1056C2×C4⋊C4—44no—
1057C2×C4⋊C4—84no—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2414yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C22⋊C4—216no—
1123C2×C22⋊C4—216no—
1124C2×C22⋊C4—216no—
1125C2×C22⋊C4—216no—
1126C2×C22⋊C4—48no—
1127C2×C22⋊C4—84no—
1128C2×C22⋊C4—84no—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C42—28no—
1194C2×C42—216no—
1195C2×C42—28no—
1196C2×C42—24no—
1197C2×C42—28no—
1198C2×C42—24no—
1199C2×C42—44no—
1200C2×C42C2412yes—
1201C2×C42C2411yescharacteristic
1202C2×C42C2414yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2412yes—
1205C2×C42C2411yescharacteristic
1206C2×C42C2414yes—
1207C2×C42C2412yes—
1208C2×C42C2412yes—
1209C2×C42C2412yes—
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2412yes—
1213C2×C42C2414yes—
1214C2×C42C2412yes—
1215C2×C42C2412yes—
1216C2×C42C2414yes—
1217C2×C42C2412yes—
1218C2×C42C2411yescharacteristic
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2412yes—
1223C2×C42C2411yescharacteristic
1224C2×C42C2412yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2414yes—
1227C2×C42C2414yes—
1228C2×C42C2414yes—
1229C2×C42C2411yescharacteristic
1230C2×C42C2412yes—
1231C2×C42C2412yes—
1232C2×C42C2412yes—
1233C2×C42C2411yescharacteristic
1234#95C2412yes—
1235#95C2411yescharacteristic
1236#95C2411yescharacteristic
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2414yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2411yescharacteristic
1258#95C2412yes—
1259#95C2411yescharacteristic
1260#95C2412yes—
1261#95C2411yescharacteristic
1262#95C2412yes—
1263#95C2411yescharacteristic
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290C24—28no—
1291C24—28no—
1292C24—28no—
1293C24—44no—
1294C24—44no—
1295C24—44no—
1296C24—44no—
1297C24C2512yes—
1298C24C2514yes—
1299C24C2511yescharacteristic
1300C24C2511yescharacteristic
1301C24C2512yes—
1302#41—232no—
1303#41—416no—
1304#41—816no—
1305C2×Q8—22no—
1306C2×Q8—22no—
1307C2×Q8—24no—
1308C2×Q8—22no—
1309C2×Q8—24no—
1310C2×Q8—28no—
1311C2×Q8—22no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—24no—
1315C2×Q8—24no—
1316C2×Q8—22no—
1317C2×Q8—22no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—44no—
1321C2×Q8—44no—
1322C2×Q8—42no—
1323C2×Q8—42no—
1324C2×Q8—44no—
1325C2×Q8—44no—
1326C2×Q8—42no—
1327C2×Q8—42no—
1328C2×Q8—432no—
1329C2×Q8—416no—
1330C2×Q8C22×D414yes—
1331C2×Q8C22×D418yes—
1332C2×Q8C22×D4116yes—
1333C2×Q8C2×#4114yes—
1334C2×D4—24no—
1335C2×D4—24no—
1336C2×D4—24no—
1337C2×D4—28no—
1338C2×D4—22no—
1339C2×D4—28no—
1340C2×D4—24no—
1341C2×D4—28no—
1342C2×D4—24no—
1343C2×D4—24no—
1344C2×D4—28no—
1345C2×D4—24no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—28no—
1351C2×D4—28no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—24no—
1357C2×D4—22no—
1358C2×D4—24no—
1359C2×D4—41no—
1360C2×D4—44no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—44no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—432no—
1373C2×D4—816no—
1374C2×D4C22×D414yes—
1375C2×D4C2×#4118yes—
1376C2×D4C2×#4114yes—
1377C2×D42−1+414yes—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—22no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—28no—
1390C22×C4—24no—
1391C22×C4—28no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—22no—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—22no—
1407C22×C4—22no—
1408C22×C4—24no—
1409C22×C4—22no—
1410C22×C4—28no—
1411C22×C4—28no—
1412C22×C4—42no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—42no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—44no—
1419C22×C4—42no—
1420C22×C4—42no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—41no—
1428C22×C4—41no—
1429C22×C4—42no—
1430C22×C4—44no—
1431C22×C4—42no—
1432C22×C4—41no—
1433C22×C4—44no—
1434C22×C4—41no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4C22×D418yes—
1438C22×C4C22×D4116yes—
1439C22×C4C2×#4118yes—
1440C22×C4C2×#4114yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2514yes—
1448C22×C4C2512yes—
1449C22×C4C2512yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2512yes—
1452C22×C4C2511yescharacteristic
1453C22×C4C2511yescharacteristic
1454C22×C4C2512yes—
1455C22×C4C2511yescharacteristic
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2514yes—
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2514yes—
1464C22×C4C2511yescharacteristic
1465C22×C4C2512yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2512yes—
1468C22×C4C2511yescharacteristic
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C4⋊C4—24no—
1472C4⋊C4—22no—
1473C4⋊C4—28no—
1474C4⋊C4—28no—
1475C4⋊C4—28no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—28no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—28no—
1489C4⋊C4—24no—
1490C4⋊C4—28no—
1491C4⋊C4—22no—
1492C4⋊C4—24no—
1493C4⋊C4—22no—
1494C4⋊C4—28no—
1495C4⋊C4—28no—
1496C4⋊C4—28no—
1497C4⋊C4—28no—
1498C4⋊C4—22no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—24no—
1503C4⋊C4—22no—
1504C4⋊C4—24no—
1505C4⋊C4—28no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—22no—
1513C4⋊C4—24no—
1514C4⋊C4—44no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—42no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—41no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—42no—
1525C4⋊C4—44no—
1526C4⋊C4—42no—
1527C4⋊C4—42no—
1528C4⋊C4—42no—
1529C4⋊C4C22×D414yes—
1530C4⋊C4C22×D418yes—
1531C4⋊C4C22×D418yes—
1532C4⋊C4C22×D414yes—
1533C4⋊C4C22×D4116yes—
1534C4⋊C4C22×D418yes—
1535C22⋊C4—24no—
1536C22⋊C4—28no—
1537C22⋊C4—24no—
1538C22⋊C4—28no—
1539C22⋊C4—24no—
1540C22⋊C4—24no—
1541C22⋊C4—22no—
1542C22⋊C4—24no—
1543C22⋊C4—24no—
1544C22⋊C4—24no—
1545C22⋊C4—28no—
1546C22⋊C4—24no—
1547C22⋊C4—24no—
1548C22⋊C4—28no—
1549C22⋊C4—28no—
1550C22⋊C4—28no—
1551C22⋊C4—28no—
1552C22⋊C4—28no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—28no—
1556C22⋊C4—28no—
1557C22⋊C4—24no—
1558C22⋊C4—28no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—28no—
1562C22⋊C4—28no—
1563C22⋊C4—28no—
1564C22⋊C4—22no—
1565C22⋊C4—28no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—28no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—41no—
1580C22⋊C4—41no—
1581C22⋊C4—41no—
1582C22⋊C4—41no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C22⋊C4—44no—
1586C22⋊C4—42no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—42no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4C22×D4116yes—
1598C22⋊C4C22×D418yes—
1599C42—24no—
1600C42—22no—
1601C42—22no—
1602C42—24no—
1603C42—22no—
1604C42—22no—
1605C42—24no—
1606C42—28no—
1607C42—22no—
1608C42—24no—
1609C42—24no—
1610C42—24no—
1611C42—28no—
1612C42—22no—
1613C42—24no—
1614C42—28no—
1615C42—24no—
1616C42—24no—
1617C42—28no—
1618C42—24no—
1619C42—22no—
1620C42—22no—
1621C42—22no—
1622C42—24no—
1623C42—22no—
1624C42—22no—
1625C42—42no—
1626C42—42no—
1627C42—44no—
1628C42—44no—
1629C42—44no—
1630C42—41no—
1631C42C22×D414yes—
1632C42C22×D418yes—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—22no—
1644C23—24no—
1645C23—21no—
1646C23—21no—
1647C23—22no—
1648C23—24no—
1649C23—21no—
1650C23—22no—
1651C23—24no—
1652C23—24no—
1653C23—22no—
1654C23—21no—
1655C23—21no—
1656C23—24no—
1657C23—22no—
1658C23—21no—
1659C23—24no—
1660C23—22no—
1661C23—21no—
1662C23—22no—
1663C23—24no—
1664C23—416no—
1665C23—88no—
1666C23—88no—
1667C23—88no—
1668C23—88no—
1669C23—88no—
1670C23—88no—
1671C23C23×D414yes—
1672C23C22×#4112yes—
1673C23C22×#4114yes—
1674C23C2×2−1+414yes—
1675C23C2611yescharacteristic
1676Q8—28no—
1677Q8—28no—
1678Q8—216no—
1679Q8—416no—
1680Q8—48no—
1681Q8—44no—
1682Q8—44no—
1683Q8—88no—
1684Q8—84no—
1685D4—216no—
1686D4—44no—
1687D4—416no—
1688D4—48no—
1689D4—48no—
1690D4—44no—
1691D4—48no—
1692D4—84no—
1693D4—84no—
1694D4—88no—
1695D4—88no—
1696D4—88no—
1697D4—84no—
1698D4#548116yes—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—216no—
1716C2×C4—28no—
1717C2×C4—216no—
1718C2×C4—21no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—24no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—24no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—24no—
1752C2×C4—22no—
1753C2×C4—24no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—24no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—24no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—416no—
1779C2×C4—48no—
1780C2×C4—48no—
1781C2×C4—48no—
1782C2×C4—48no—
1783C2×C4—44no—
1784C2×C4—44no—
1785C2×C4—44no—
1786C2×C4—84no—
1787C2×C4—88no—
1788C2×C4—82no—
1789C2×C4—82no—
1790C2×C4—88no—
1791C2×C4—84no—
1792C2×C4—88no—
1793C2×C4—84no—
1794C2×C4—88no—
1795C2×C4—84no—
1796C2×C4C23×D414yes—
1797C2×C4C23×D414yes—
1798C2×C4C23×D418yes—
1799C2×C4C23×D412yes—
1800C2×C4C23×D414yes—
1801C2×C4C23×D412yes—
1802C2×C4C23×D412yes—
1803C2×C4C22×#4112yes—
1804C2×C4C22×#4114yes—
1805C2×C4C22×#4112yes—
1806C2×C4C2×2−1+412yes—
1807C2×C4#58512yes—
1808C2×C4#58512yes—
1809C2×C4#58512yes—
1810C22—24no—
1811C22—24no—
1812C22—24no—
1813C22—24no—
1814C22—24no—
1815C22—24no—
1816C22—22no—
1817C22—22no—
1818C22—22no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—44no—
1825C22—42no—
1826C22—44no—
1827C22—41no—
1828C22—42no—
1829C22—41no—
1830C22—44no—
1831C22—42no—
1832C22—41no—
1833C22—44no—
1834C22—42no—
1835C22—41no—
1836C22—42no—
1837C22—44no—
1838C22—41no—
1839C22—44no—
1840C22—42no—
1841C22—41no—
1842C22—42no—
1843C22—44no—
1844C22—1616no—
1845C22C2×#54818yes—
1846C22C24×D411yescharacteristic
1847C22C23×#4111yescharacteristic
1848C22C22×2−1+411yescharacteristic
1849C22C2×#58511yescharacteristic
1850C22C2×#58511yescharacteristic
1851C22C2×#58511yescharacteristic
1852C22H(7,𝔽2)11yescharacteristic
1853C4—24no—
1854C4—22no—
1855C4—24no—
1856C4—24no—
1857C4—28no—
1858C4—22no—
1859C4—22no—
1860C4—24no—
1861C4—41no—
1862C4—42no—
1863C4—42no—
1864C4—41no—
1865C4—44no—
1866C4—42no—
1867C4—41no—
1868C4—42no—
1869C4—44no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—42no—
1874C4—42no—
1875C4—42no—
1876C4—42no—
1877C4—41no—
1878C4—41no—
1879C4—42no—
1880C4—42no—
1881C4C2×#54814yes—
1882C4#348514yes—
1883C2—28no—
1884C2—42no—
1885C2—81no—
1886C2—84no—
1887C2—82no—
1888C2C22×#54811yescharacteristic
1889C2C2×#348511yescharacteristic
1890C2#6281611yescharacteristic
1891C2#6295111yescharacteristic
1892C2#6300311yescharacteristic
1893C2#6301011yescharacteristic
1894C2#6302511yescharacteristic
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×#3514C2semidirect
2. C2×Q8×#41C2semidirect
3. #59653C2semidirect
4. #59650C2semidirect
5. #59132C2semidirect
6. #59094C2semidirect
7. #59078C2semidirect
8. #59076C2semidirect
9. #59065C2semidirect
10. #59050C2semidirect
11. #45270C2semidirect
12. #45102C2semidirect
13. #44103C2semidirect
14. #43533C2semidirect
15. #39168C2semidirect
16. #39166C2semidirect
17. #39125C2semidirect
18. #39123C2semidirect
19. #37711C2semidirect
20. #37707C2semidirect
21. #36580C2semidirect
22. #36578C2semidirect
23. #36289C2semidirect
24. #36275C2semidirect
25. #36258C2semidirect
26. #36218C2semidirect
27. #36150C2semidirect
28. #36140C2semidirect
29. #35847C2semidirect
30. #35836C2semidirect
31. #34708C2semidirect
32. C2×#2448C2semidirect
33. #34334C2semidirect
34. #34292C2semidirect
35. C4×#547C2semidirect
39. C2×Q82C22semidirect
40. C2×#557C22semidirect
41. C2×#557C22semidirect
46. C2×#554C22semidirect
47. C2×#554C22semidirect
50. C2×D4×Q8C22semidirect
59. C2×#533C22semidirect
60. C2×#533C22semidirect
61. C2×#533C22semidirect
62. C2×#533C22semidirect
71. C22×C4×Q8C22semidirect
72. C22×C4×Q8C22semidirect
74. #2857C22semidirect
76. #2855C22semidirect
78. #2854C22semidirect
80. #2850C22semidirect
81. #2731C22semidirect
82. #2731C22semidirect
83. #2731C22semidirect
84. #2730C22semidirect
85. #2730C22semidirect
86. #2730C22semidirect
87. #2729C22semidirect
88. #2728C22semidirect
89. #2725C22semidirect
90. #2725C22semidirect
91. #2723C22semidirect
92. #2723C22semidirect
93. #2716C22semidirect
94. #2711C22semidirect
95. #2711C22semidirect
96. #2711C22semidirect
97. #2707C22semidirect
98. #2696C22semidirect
99. #2674C22semidirect
100. #2674C22semidirect
101. #2674C22semidirect
102. #2640C22semidirect
103. #2639C22semidirect
104. #2628C22semidirect
105. #2626C22semidirect
106. #2592C22semidirect
107. #2582C22semidirect
108. #2580C22semidirect
109. #2567C22semidirect
110. #2564C22semidirect
112. #2561C22semidirect
113. #2558C22semidirect
114. #2550C22semidirect
117. #2547C22semidirect
119. #2545C22semidirect
120. #2545C22semidirect
121. #2543C22semidirect
122. #2542C22semidirect
123. #2540C22semidirect
124. #2540C22semidirect
126. #2536C22semidirect
127. #2534C22semidirect
128. #2519C22semidirect
129. #2519C22semidirect
131. #2504C22semidirect
135. #2490C22semidirect
136. #2490C22semidirect
137. #2489C22semidirect
138. #2489C22semidirect
139. #2488C22semidirect
140. #2488C22semidirect
141. #2487C22semidirect
142. #2487C22semidirect
143. #2481C22semidirect
144. #2475C22semidirect
145. #2475C22semidirect
148. #2472C22semidirect
149. #2472C22semidirect
150. #2469C22semidirect
151. #2469C22semidirect
152. #2469C22semidirect
153. #2460C22semidirect
154. #2458C22semidirect
155. #2458C22semidirect
156. #2458C22semidirect
157. #2454C22semidirect
158. #2454C22semidirect
159. #2453C22semidirect
160. #2453C22semidirect
161. #2452C22semidirect
162. #2452C22semidirect
163. #2449C22semidirect
164. #2449C22semidirect
165. #2449C22semidirect
170. #2448C22semidirect
171. #2448C22semidirect
172. #2448C22semidirect
173. #2448C22semidirect
174. #2448C22semidirect
175. #2448C22semidirect
176. #2448C22semidirect
177. #2448C22semidirect
178. #2448C22semidirect
179. #2448C22semidirect
180. #2448C22semidirect
181. #2446C22semidirect
182. #2443C22semidirect
183. #2443C22semidirect
184. #2442C22semidirect
185. #2441C22semidirect
186. #2441C22semidirect
187. #2441C22semidirect
188. #2438C22semidirect
189. #2437C22semidirect
190. #2437C22semidirect
192. #2436C22semidirect
194. #2432C22semidirect
195. #2429C22semidirect
196. #2427C22semidirect
200. #2426C22semidirect
201. #2426C22semidirect
202. #2426C22semidirect
203. #2426C22semidirect
204. #2425C22semidirect
206. #2424C22semidirect
207. #2421C22semidirect
208. #2421C22semidirect
209. #2421C22semidirect
210. #2421C22semidirect
211. #2421C22semidirect
212. #2417C22semidirect
215. #2415C22semidirect
216. #2415C22semidirect
218. #2414C22semidirect
219. #2413C22semidirect
221. #2411C22semidirect
222. #2409C22semidirect
224. #2407C22semidirect
225. #2398C22semidirect
226. #2396C22semidirect
227. C2×#399C22semidirect
228. C2×#397C22semidirect
229. #2369C22semidirect
230. #2368C22semidirect
231. #2367C22semidirect
232. #2367C22semidirect
233. #2367C22semidirect
234. #2365C22semidirect
235. #2365C22semidirect
236. #2363C22semidirect
237. #2362C22semidirect
238. #2362C22semidirect
239. #2362C22semidirect
240. #2362C22semidirect
241. #2361C22semidirect
242. #2361C22semidirect
243. #2361C22semidirect
244. #2360C22semidirect
245. #2359C22semidirect
246. #2359C22semidirect
247. #2359C22semidirect
248. #2358C22semidirect
249. #2355C22semidirect
250. #2354C22semidirect
251. #2354C22semidirect
252. #2351C22semidirect
253. #2351C22semidirect
258. #2344C22semidirect
259. #2342C22semidirect
260. #2341C22semidirect
261. #2341C22semidirect
262. Q8×C22⋊C4C22semidirect
269. #2331C22semidirect
270. #2329C22semidirect
271. #2326C22semidirect
272. #2325C22semidirect
273. #2323C22semidirect
274. #2321C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×#123C22semidirect
283. C4×#123C22semidirect
284. C4×#123C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. #2295C22semidirect
290. C2×#391C22semidirect
293. C2×#389C22semidirect
294. #2290C22semidirect
295. C2×#388C22semidirect
296. C2×#388C22semidirect
299. C42×D4C22semidirect
300. C2×C4×C4⋊C4C22semidirect
320. D4×Q8D4semidirect
856. C2×#41#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35142
C2×Q8×#412
#596532
#596502
#591322
#590942
#590782
#590762
#590652
#590502
#452702
#451022
#441032
#435332
#391682
#391662
#391252
#391232
#377112
#377072
#365802
#365782
#362892
#362752
#362582
#362182
#361502
#361402
#358472
#358362
#347082
C2×#24482
#343342
#342922
C4×#5472