Finite Group Databasebeta

← #7689992

Subgroups — #7689992

Order 512.

8722 conjugacy classes of subgroups.

The subgroup lattice has 2049 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3496C211yesmaximal, characteristic, complemented
2C2×#3482C211yesmaximal, characteristic, complemented
3#59418C211yesmaximal, characteristic, complemented
4#59131C212yesmaximal, complemented
5#59094C212yesmaximal, complemented
6#59091C214yesmaximal, complemented
7#59078C211yesmaximal, characteristic, complemented
8#59040C211yesmaximal, characteristic, complemented
9#59030C212yesmaximal, complemented
10#58996C212yesmaximal, complemented
11#45404C212yesmaximal, complemented
12#45258C212yesmaximal, complemented
13#44044C214yesmaximal, complemented
14#43930C214yesmaximal, complemented
15#39468C211yesmaximal, characteristic, complemented
16#39467C212yesmaximal, complemented
17#38957C211yesmaximal, characteristic, complemented
18#38950C212yesmaximal, complemented
19#37781C212yesmaximal, complemented
20#37778C214yesmaximal, complemented
21#36422C212yesmaximal, complemented
22#36258C211yesmaximal, characteristic, complemented
23#36258C211yesmaximal, characteristic, complemented
24#36216C212yesmaximal, complemented
25#36150C211yesmaximal, characteristic, complemented
26#36107C212yesmaximal, complemented
27D4×#124C211yesmaximal, characteristic, complemented
28D4×C22⋊Q8C211yesmaximal, characteristic, complemented
29#35821C212yesmaximal, complemented
30#35750C212yesmaximal, complemented
31#34715C211yesmaximal, characteristic, complemented
32C2×#2426C212yesmaximal, complemented
33#34308C211yesmaximal, characteristic, complemented
34#34258C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36C22×H(5,𝔽2)C2212yes—
37#3496—216no—
38#3482—216no—
39C2×#557C2211yescharacteristic, complemented
40C2×#556C2211yescharacteristic, complemented
41C2×#556C2212yescomplemented
42C2×#552C2214yescomplemented
43C2×#552C2212yescomplemented
44C2×D4×Q8C2211yescharacteristic, complemented
45C2×#548C2212yescomplemented
46C2×#547C2211yescharacteristic
47C2×#547C2212yes—
48C2×#547C2211yescharacteristic
49C2×#547C2212yescomplemented
50C2×#546C2214yes—
51C2×#546C2212yes—
52C2×#546C2212yes—
53C2×#546C2211yescharacteristic
54C2×#546C2212yescomplemented
55C2×#546C2212yescomplemented
56C2×D42C2211yescharacteristic
57C2×D42C2211yescharacteristic
58C2×D42C2212yes—
59C2×#537C2212yes—
60C2×#534C2214yes—
61C2×#533C2211yescharacteristic, complemented
62C2×#533C2212yescomplemented
63C2×#532C2211yescharacteristic
64C2×#532C2211yescharacteristic
65C2×#529C2212yescomplemented
66C2×#529C2214yescomplemented
67C22×#124C2212yescomplemented
68C22×C22⋊Q8C2212yescomplemented
69C22×#121C2212yes—
70C22×#121C2212yes—
71C2×#520C2212yescomplemented
72C2×C4×#41C2211yescharacteristic, complemented
73C2×C4×#41C2212yescomplemented
74C2×C4×#41C2211yescharacteristic, complemented
75C22×C4×Q8C2212yescomplemented
76C22×C4×D4C2211yescharacteristic
77#2858C2211yescharacteristic, complemented
78#2857C2211yescharacteristic, complemented
79#2856C2211yescharacteristic, complemented
80#2854C2212yescomplemented
81#2854C2212yescomplemented
82#2853C2214yescomplemented
83#2850C2212yescomplemented
84#2848C2212yescomplemented
85#2715C2214yescomplemented
86#2714C2214yescomplemented
87#2714C2214yescomplemented
88#2711C2214yescomplemented
89#2711C2214yescomplemented
90#2711C2214yescomplemented
91#2707C2214yescomplemented
92#2707C2214yescomplemented
93#2705C2214yescomplemented
94#2704C2214yescomplemented
95#2702C2214yescomplemented
96#2694C2214yescomplemented
97#2691C2214yescomplemented
98#2691C2214yescomplemented
99#2685C2214yescomplemented
100#2685C2214yescomplemented
101#2685C2214yescomplemented
102#2681C2214yescomplemented
103#2676C2214yescomplemented
104#2672C2214yescomplemented
105#2670C2214yescomplemented
106#2620C2212yescomplemented
107#2618C2214yescomplemented
108#2616C2212yescomplemented
109#2613C2214yescomplemented
110#2559C2214yescomplemented
111#2558C2214yescomplemented
112#2555C2214yescomplemented
113#2548C2211yescharacteristic, complemented
114#2548C2211yescharacteristic, complemented
115#2547C2211yescharacteristic, complemented
116#2545C2212yescomplemented
117#2544C2212yescomplemented
118#2542C2211yescharacteristic, complemented
119#2540C2212yescomplemented
120#2540C2212yescomplemented
121#2538C2211yescharacteristic, complemented
122#2538C2211yescharacteristic, complemented
123#2538C2212yescomplemented
124#2534C2214yescomplemented
125#2500C2212yescomplemented
126#2498C2214yescomplemented
127#2491C2212yescomplemented
128#2491C2212yescomplemented
129#2490C2212yescomplemented
130#2490C2212yescomplemented
131#2490C2212yescomplemented
132#2485C2212yescomplemented
133#2482C2214yescomplemented
134#2480C2214yescomplemented
135#2476C2214yescomplemented
136#2476C2214yescomplemented
137#2476C2212yescomplemented
138#2474C2212yescomplemented
139#2472C2214yescomplemented
140#2472C2214yescomplemented
141#2472C2214yescomplemented
142#2472C2214yescomplemented
143#2471C2214yescomplemented
144#2465C2214yescomplemented
145#2465C2214yescomplemented
146#2460C2214yescomplemented
147#2459C2212yescomplemented
148#2458C2214yescomplemented
149#2458C2214yescomplemented
150#2456C2212yescomplemented
151#2454C2212yescomplemented
152#2454C2212yescomplemented
153#2452C2212yescomplemented
154#2451C2212yescomplemented
155#2451C2211yescharacteristic, complemented
156#2449C2214yescomplemented
157#2448C2212yescomplemented
158#2448C2212yescomplemented
159#2445C2211yescharacteristic, complemented
160#2444C2214yescomplemented
161#2443C2214yescomplemented
162#2442C2212yescomplemented
163#2440C2212yescomplemented
164#2439C2211yescharacteristic, complemented
165#2437C2214yescomplemented
166#2437C2214yescomplemented
167#2436C2212yescomplemented
168#2435C2212yescomplemented
169#2435C2212yescomplemented
170#2435C2212yescomplemented
171#2435C2212yescomplemented
172#2432C2212yescomplemented
173#2432C2212yescomplemented
174#2431C2211yescharacteristic, complemented
175#2430C2214yescomplemented
176#2429C2212yescomplemented
177#2427C2212yescomplemented
178#2427C2212yescomplemented
179#2426C2212yescomplemented
180#2426C2214yescomplemented
181#2426C2212yescomplemented
182#2426C2212yescomplemented
183#2426C2212yescomplemented
184#2426C2212yescomplemented
185#2426C2212yescomplemented
186#2426C2212yescomplemented
187#2426C2212yescomplemented
188#2426C2211yescharacteristic, complemented
189#2426C2214yescomplemented
190#2426C2212yescomplemented
191#2426C2214yescomplemented
192#2426C2214yescomplemented
193#2426C2212yescomplemented
194#2425C2214yescomplemented
195#2424C2214yescomplemented
196#2424C2214yescomplemented
197#2424C2214yescomplemented
198#2423C2212yescomplemented
199#2421C2212yescomplemented
200#2420C2211yescharacteristic, complemented
201#2418C2214yescomplemented
202#2418C2214yescomplemented
203#2417C2212yescomplemented
204#2417C2212yescomplemented
205#2417C2212yescomplemented
206#2416C2212yescomplemented
207#2416C2214yescomplemented
208#2416C2212yescomplemented
209#2414C2212yescomplemented
210#2414C2211yescharacteristic, complemented
211#2414C2212yescomplemented
212#2414C2212yescomplemented
213#2413C2214yescomplemented
214#2411C2214yescomplemented
215#2411C2214yescomplemented
216#2411C2214yescomplemented
217#2411C2214yescomplemented
218#2410C2214yescomplemented
219#2410C2214yescomplemented
220#2409C2212yescomplemented
221#2408C2212yescomplemented
222#2408C2212yescomplemented
223#2407C2212yescomplemented
224#2407C2212yescomplemented
225#2407C2211yescharacteristic, complemented
226#2406C2214yescomplemented
227#2405C2214yescomplemented
228#2405C2214yescomplemented
229#2392C2212yescomplemented
230C2×#396C2214yescomplemented
231#2388C2212yescomplemented
232C2×#394C2214yescomplemented
233#2367C2212yescomplemented
234#2367C2212yescomplemented
235#2367C2211yescharacteristic, complemented
236#2365C2211yescharacteristic, complemented
237#2364C2212yescomplemented
238#2363C2212yescomplemented
239#2363C2211yescharacteristic, complemented
240#2361C2212yescomplemented
241#2360C2212yescomplemented
242#2360C2212yescomplemented
243#2360C2212yescomplemented
244#2360C2211yescharacteristic, complemented
245#2359C2214yescomplemented
246#2359C2212yescomplemented
247#2358C2212yescomplemented
248#2352C2211yescharacteristic, complemented
249#2349C2211yescharacteristic, complemented
250D4×C4⋊C4C2211yescharacteristic, complemented
251D4×C4⋊C4C2211yescharacteristic, complemented
252D4×C4⋊C4C2212yescomplemented
253#2344C2212yescomplemented
254#2342C2214yescomplemented
255#2342C2212yescomplemented
256#2341C2212yescomplemented
257#2341C2212yescomplemented
258#2341C2212yescomplemented
259#2341C2212yescomplemented
260#2339C2212yescomplemented
261#2339C2211yescharacteristic, complemented
262D4×C22⋊C4C2211yescharacteristic
263D4×C22⋊C4C2212yes—
264D4×C22⋊C4C2212yescomplemented
265D4×C22⋊C4C2212yescomplemented
266D4×C22⋊C4C2214yescomplemented
267D4×C22⋊C4C2212yescomplemented
268D4×C22⋊C4C2214yescomplemented
269D4×C22⋊C4C2214yescomplemented
270D4×C22⋊C4C2212yescomplemented
271D4×C22⋊C4C2214yescomplemented
272#2323C2212yescomplemented
273#2322C2214yescomplemented
274#2311C2214yescomplemented
275#2311C2212yescomplemented
276#2309C2214yescomplemented
277#2309C2212yescomplemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×#124C2211yescharacteristic, complemented
280C4×#124C2211yescharacteristic, complemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#123C2212yescomplemented
284C4×#123C2212yescomplemented
285C4×#121C2212yescomplemented
286C4×#121C2212yescomplemented
287C4×#121C2211yescharacteristic, complemented
288C4×#121C2211yescharacteristic, complemented
289C4×#120C2212yescomplemented
290#2297C2214yescomplemented
291#2297C2212yescomplemented
292#2293C2211yescharacteristic, complemented
293C2×#390C2214yescomplemented
294C2×#390C2212yescomplemented
295C2×#390C2212yescomplemented
296C2×#389C2212yescomplemented
297C2×#388C2214yescomplemented
298C42×D4C2211yescharacteristic, complemented
299C42×D4C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2212yescomplemented
301C2×H(5,𝔽2)—216no—
302C2×H(5,𝔽2)—216no—
303C2×H(5,𝔽2)—48no—
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2314yes—
307C22×#41C2312yes—
308C22×#41C2312yes—
309C22×#41C2311yescharacteristic
310C22×#41C2312yes—
311C23×Q8C2312yes—
312C23×D4C2312yes—
313C23×D4C2314yes—
314C23×D4C2312yes—
315C23×D4C2314yes—
316C23×D4C2314yes—
317C23×D4C2311yescharacteristic
318C23×D4C2312yes—
319C23×D4C2312yes—
320C24×C4C2312yes—
321#557—28no—
322#556—216no—
323#556—28no—
324#552—232no—
325#552—216no—
326D4×Q8—28no—
327#548—216no—
328#547—216no—
329#547—28no—
330#547—216no—
331#547D4116yescomplemented
332#546—216no—
333#546—28no—
334#546—232no—
335#546—216no—
336#546—48no—
337#546—48no—
338D42—216no—
339D42—28no—
340D42—28no—
341#537—216no—
342#534—232no—
343#533—28no—
344#533—216no—
345#532—28no—
346#532—28no—
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2311yescharacteristic
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2312yes—
351C2×C4⋊Q8C2311yescharacteristic
352C2×#127C2311yescharacteristic
353C2×#127C2311yescharacteristic
354#529—232no—
355#529—216no—
356C2×#126C2314yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#125C2312yes—
360C2×#125C2314yes—
361C2×#125C2312yes—
362C2×#125C2314yes—
363C2×#124—48no—
364C2×#124C2312yes—
365C2×#124C2311yescharacteristic
366C2×#124C2311yescharacteristic
367C2×#124C2314yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2314yes—
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2312yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×C22⋊Q8—48no—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2311yescharacteristic
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2312yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2312yes—
406C2×#121—216no—
407C2×#121—216no—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2311yescharacteristic
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2311yescharacteristic
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2314yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2314yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2311yescharacteristic
431C2×#121C2314yes—
432C2×#121C2312yes—
433C2×#120C2312yes—
434C2×#120C2314yes—
435C2×#120C2314yes—
436C2×#120C2314yes—
437C2×#120C2314yes—
438C2×#120C2314yes—
439C2×#120C2314yes—
440#520—48no—
441C4×#41—216no—
442C4×#41—28no—
443C4×#41—28no—
444C2×C4×Q8—216no—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2314yes—
452C2×C4×Q8C2312yes—
453C2×C4×Q8C2314yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×D4—28no—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2314yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2314yes—
467C2×C4×D4C2311yescharacteristic
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2314yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×#117C2314yes—
491C2×#117C2312yes—
492C2×#117C2312yes—
493C2×#117C2314yes—
494C2×#117C2311yescharacteristic
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2314yes—
500C22×C4⋊C4C2311yescharacteristic
501C22×C4⋊C4C2312yes—
502C22×C4⋊C4C2314yes—
503C22×C4⋊C4C2314yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2312yes—
506C22×C4⋊C4C2314yes—
507C22×C4⋊C4C2312yes—
508C22×C22⋊C4C2312yes—
509C22×C22⋊C4C2312yes—
510C22×C22⋊C4C2314yes—
511C22×C22⋊C4C2314yes—
512C22×C22⋊C4C2312yes—
513C22×C22⋊C4C2314yes—
514C22×C22⋊C4C2314yes—
515C22×C22⋊C4C2314yes—
516C22×C22⋊C4C2314yes—
517C22×C22⋊C4C2314yes—
518C22×C22⋊C4C2314yes—
519C22×C22⋊C4C2314yes—
520C22×C42C2314yes—
521C22×C42C2312yes—
522C22×C42C2312yes—
523C22×C42C2311yescharacteristic
524C22×C42C2311yescharacteristic
525C22×C42C2312yes—
526#400C2314yes—
527#399C2314yes—
528#399C2314yes—
529#399C2314yes—
530#399C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2312yes—
534#398C2314yes—
535#398C2314yes—
536#397C2312yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#396C2312yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#396C2314yes—
547#396C2312yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#396C2314yes—
557#396C2314yes—
558#395C2314yes—
559#395C2312yes—
560#395C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2312yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2312yes—
579#394C2312yes—
580#394C2312yes—
581#394C2312yes—
582#394C2312yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#393C2312yes—
593#393C2314yes—
594#393C2314yes—
595#393C2314yes—
596#392C2312yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2312yes—
601#392C2312yes—
602#392C2312yes—
603#392C2314yes—
604#391C2312yes—
605#391C2312yes—
606#391C2314yes—
607#391C2312yes—
608#391C2312yes—
609#391C2311yescharacteristic
610#391C2311yescharacteristic
611#391C2312yes—
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#391C2312yes—
615#390C2311yescharacteristic
616#390C2312yes—
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2314yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#390C2314yes—
626#390C2314yes—
627#390C2314yes—
628#390C2311yescharacteristic
629#390C2312yes—
630#390C2312yes—
631#390C2312yes—
632#390C2314yes—
633#390C2314yes—
634#390C2314yes—
635#390C2312yes—
636#390C2314yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2312yes—
641#390C2312yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2311yescharacteristic
646#390C2314yes—
647#390C2312yes—
648#390C2314yes—
649#390C2314yes—
650#390C2314yes—
651#390C2311yescharacteristic
652#390C2312yes—
653#390C2311yescharacteristic
654#390C2314yes—
655#390C2311yescharacteristic
656#390C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2314yes—
660#389C2312yes—
661#389C2311yescharacteristic
662#389C2311yescharacteristic
663#389C2312yes—
664#389C2312yes—
665#389C2311yescharacteristic
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2311yescharacteristic
670#389C2312yes—
671#389C2314yes—
672#389C2314yes—
673#389C2314yes—
674#389C2312yes—
675#389C2311yescharacteristic
676#389C2311yescharacteristic
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2312yes—
688#388C2314yes—
689#388C2312yes—
690#388C2312yes—
691#388C2312yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2312yes—
696#388C2312yes—
697#388C2312yes—
698#388C2312yes—
699#388C2314yes—
700#388C2314yes—
701#388C2312yes—
702#388C2314yes—
703#388C2312yes—
704#388C2314yes—
705#388C2314yes—
706#388C2312yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2312yes—
711#388C2312yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2312yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2312yes—
720#387C2312yes—
721#387C2312yes—
722#387C2312yes—
723#387C2312yes—
724#386C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2312yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#386C2314yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2314yes—
745#386C2312yes—
746#386C2312yes—
747#386C2312yes—
748#386C2312yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2312yes—
753#386C2312yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2312yes—
761#385C2314yes—
762#385C2312yes—
763#385C2312yes—
764#385C2314yes—
765#385C2312yes—
766#385C2312yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2312yes—
773#385C2312yes—
774#384C2311yescharacteristic
775#384C2312yes—
776#382C2311yescharacteristic
777#382C2311yescharacteristic
778#381C2314yes—
779#381C2312yes—
780#381C2312yes—
781#380C2311yescharacteristic
782#380C2312yes—
783#380C2312yes—
784#380C2314yes—
785#380C2314yes—
786#380C2312yes—
787#380C2314yes—
788#380C2314yes—
789#380C2312yes—
790#380C2311yescharacteristic
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794#380C2311yescharacteristic
795#380C2312yes—
796#380C2314yes—
797#380C2312yes—
798#380C2314yes—
799#380C2311yescharacteristic
800#379C2312yes—
801#379C2314yes—
802#379C2314yes—
803#379C2314yes—
804#379C2314yes—
805#379C2314yes—
806#379C2314yes—
807#379C2314yes—
808#379C2314yes—
809#379C2314yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2311yescharacteristic
819C4×C4⋊C4C2311yescharacteristic
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2311yescharacteristic
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2311yescharacteristic
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2311yescharacteristic
849C2×#95C2314yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C43C2311yescharacteristic
853C25C2414yes—
854C25C2414yes—
855C25C2412yes—
856H(5,𝔽2)—4128no—
857C2×#41—28no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—28no—
863C2×#41—24no—
864C2×#41—216no—
865C2×#41—28no—
866C2×#41—28no—
867C2×#41—24no—
868C2×#41—28no—
869C2×#41—216no—
870C2×#41—28no—
871C2×#41—28no—
872C2×#41—44no—
873C2×#41—48no—
874C2×#41—42no—
875C2×#41—44no—
876C2×#41—44no—
877C2×#41C2×D4116yes—
878C22×Q8—28no—
879C22×Q8—28no—
880C22×Q8—44no—
881C22×Q8C2412yes—
882C22×Q8C2411yescharacteristic
883C22×Q8C2414yes—
884C22×Q8C2412yes—
885C22×Q8C2412yes—
886C22×Q8C2411yescharacteristic
887C22×D4—24no—
888C22×D4—24no—
889C22×D4—216no—
890C22×D4—216no—
891C22×D4—216no—
892C22×D4—216no—
893C22×D4—28no—
894C22×D4—28no—
895C22×D4—216no—
896C22×D4—28no—
897C22×D4—28no—
898C22×D4—28no—
899C22×D4—216no—
900C22×D4—28no—
901C22×D4—28no—
902C22×D4—44no—
903C22×D4—44no—
904C22×D4—44no—
905C22×D4—44no—
906C22×D4—44no—
907C22×D4—48no—
908C22×D4—48no—
909C22×D4—48no—
910C22×D4#4118yescomplemented
911C22×D4C2412yes—
912C22×D4C2412yes—
913C22×D4C2411yescharacteristic
914C22×D4C2414yes—
915C22×D4C2412yes—
916C22×D4C2412yes—
917C22×D4C2414yes—
918C22×D4C2414yes—
919C22×D4C2412yes—
920C22×D4C2412yes—
921C22×D4C2414yes—
922C22×D4C2412yes—
923C22×D4C2414yes—
924C22×D4C2411yescharacteristic
925C22×D4C2412yes—
926C22×D4C2411yescharacteristic
927C22×D4C2411yescharacteristic
928C22×D4C2412yes—
929C22×D4C2412yes—
930C22×D4C2412yes—
931C22×D4C2414yes—
932C22×D4C2414yes—
933C22×D4C2412yes—
934C22×D4C2414yes—
935C22×D4C2411yescharacteristic
936C23×C4—28no—
937C23×C4—44no—
938C23×C4—44no—
939C23×C4C2412yes—
940C23×C4C2412yes—
941C23×C4C2411yescharacteristic
942C23×C4C2411yescharacteristic
943C23×C4C2412yes—
944C23×C4C2411yescharacteristic
945C23×C4C2414yes—
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2412yes—
949C23×C4C2414yes—
950C23×C4C2411yescharacteristic
951C23×C4C2414yes—
952C23×C4C2414yes—
953C23×C4C2412yes—
954C23×C4C2412yes—
955C23×C4C2411yescharacteristic
956C23×C4C2414yes—
957C23×C4C2412yes—
958C23×C4C2412yes—
959C23×C4C2412yes—
960C23×C4C2412yes—
961C23×C4C2411yescharacteristic
962C23×C4C2412yes—
963C23×C4C2414yes—
964C4⋊Q8—28no—
965C4⋊Q8—24no—
966C4⋊Q8—28no—
967C4⋊Q8—24no—
968C4⋊Q8C2×D418yes—
969#127—24no—
970#127—24no—
971#126—216no—
972#126—216no—
973#126—216no—
974#125—216no—
975#125—28no—
976#125—28no—
977#125—216no—
978#124—28no—
979#124—24no—
980#124—28no—
981#124—28no—
982#124—24no—
983#124—216no—
984#124—28no—
985#124—44no—
986#124—44no—
987#124—44no—
988#124—44no—
989#124—48no—
990#124—48no—
991#123—216no—
992#123—28no—
993#123—216no—
994#123—216no—
995#123—216no—
996#123—216no—
997#123—44no—
998#123—48no—
999#123—48no—
1000#123C2×D4132yes—
1001C22⋊Q8—28no—
1002C22⋊Q8—28no—
1003C22⋊Q8—24no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—24no—
1008C22⋊Q8—28no—
1009C22⋊Q8—216no—
1010C22⋊Q8—216no—
1011C22⋊Q8—216no—
1012C22⋊Q8—48no—
1013C22⋊Q8—48no—
1014C22⋊Q8—44no—
1015C22⋊Q8—44no—
1016C22⋊Q8—44no—
1017C22⋊Q8—44no—
1018C22⋊Q8C2×D4116yes—
1019#121—24no—
1020#121—216no—
1021#121—216no—
1022#121—24no—
1023#121—28no—
1024#121—28no—
1025#121—28no—
1026#121—28no—
1027#121—24no—
1028#121—216no—
1029#121—28no—
1030#121—28no—
1031#121—216no—
1032#121—28no—
1033#121—28no—
1034#121—216no—
1035#121—28no—
1036#121—216no—
1037#121—44no—
1038#121—48no—
1039#121—42no—
1040#121—44no—
1041#121—44no—
1042#121—48no—
1043#121C2×D4116yes—
1044#120—28no—
1045#120—216no—
1046#120—216no—
1047#120—216no—
1048#120—216no—
1049#120—48no—
1050#120—48no—
1051C4×Q8—28no—
1052C4×Q8—28no—
1053C4×Q8—24no—
1054C4×Q8—216no—
1055C4×Q8—28no—
1056C4×Q8—28no—
1057C4×Q8—216no—
1058C4×Q8—28no—
1059C4×Q8—24no—
1060C4×Q8—24no—
1061C4×Q8—24no—
1062C4×Q8—44no—
1063C4×Q8—44no—
1064C4×D4—24no—
1065C4×D4—24no—
1066C4×D4—24no—
1067C4×D4—216no—
1068C4×D4—28no—
1069C4×D4—216no—
1070C4×D4—24no—
1071C4×D4—24no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—24no—
1078C4×D4—24no—
1079C4×D4—28no—
1080C4×D4—28no—
1081C4×D4—28no—
1082C4×D4—28no—
1083C4×D4—28no—
1084C4×D4—24no—
1085C4×D4—24no—
1086C4×D4—44no—
1087C4×D4—42no—
1088C4×D4—44no—
1089C4×D4—44no—
1090C4×D4—42no—
1091C4×D4—48no—
1092C4×D4—48no—
1093C4×D4C2×D418yes—
1094C4×D4C2×D418yes—
1095#117—216no—
1096#117—28no—
1097#117—24no—
1098#117—24no—
1099#117—28no—
1100#117—28no—
1101#117—28no—
1102#117—216no—
1103#117—44no—
1104#117—48no—
1105C2×C4⋊C4—216no—
1106C2×C4⋊C4—24no—
1107C2×C4⋊C4—28no—
1108C2×C4⋊C4—44no—
1109C2×C4⋊C4—44no—
1110C2×C4⋊C4—48no—
1111C2×C4⋊C4—48no—
1112C2×C4⋊C4C2×D4116yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2411yescharacteristic
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2411yescharacteristic
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2411yescharacteristic
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2412yes—
1165C2×C22⋊C4—28no—
1166C2×C22⋊C4—216no—
1167C2×C22⋊C4—28no—
1168C2×C22⋊C4—216no—
1169C2×C22⋊C4—44no—
1170C2×C22⋊C4—48no—
1171C2×C22⋊C4—48no—
1172C2×C22⋊C4—48no—
1173C2×C22⋊C4—48no—
1174C2×C22⋊C4—48no—
1175C2×C22⋊C4—48no—
1176C2×C22⋊C4—48no—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2411yescharacteristic
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2411yescharacteristic
1239C2×C22⋊C4C2411yescharacteristic
1240C2×C22⋊C4C2411yescharacteristic
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2412yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2412yes—
1257C2×C42—28no—
1258C2×C42—216no—
1259C2×C42—28no—
1260C2×C42—24no—
1261C2×C42—24no—
1262C2×C42—44no—
1263C2×C42C2411yescharacteristic
1264C2×C42C2412yes—
1265C2×C42C2414yes—
1266C2×C42C2412yes—
1267C2×C42C2411yescharacteristic
1268C2×C42C2412yes—
1269C2×C42C2414yes—
1270C2×C42C2412yes—
1271C2×C42C2411yescharacteristic
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274C2×C42C2412yes—
1275C2×C42C2412yes—
1276C2×C42C2411yescharacteristic
1277C2×C42C2412yes—
1278C2×C42C2414yes—
1279C2×C42C2411yescharacteristic
1280C2×C42C2411yescharacteristic
1281C2×C42C2412yes—
1282C2×C42C2411yescharacteristic
1283C2×C42C2411yescharacteristic
1284C2×C42C2414yes—
1285C2×C42C2414yes—
1286C2×C42C2411yescharacteristic
1287C2×C42C2412yes—
1288C2×C42C2412yes—
1289C2×C42C2411yescharacteristic
1290C2×C42C2411yescharacteristic
1291#95C2411yescharacteristic
1292#95C2411yescharacteristic
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2411yescharacteristic
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2411yescharacteristic
1308#95C2412yes—
1309#95C2411yescharacteristic
1310#95C2411yescharacteristic
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2414yes—
1316#95C2412yes—
1317#95C2412yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2412yes—
1324#95C2412yes—
1325#95C2412yes—
1326#95C2412yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2412yes—
1330#95C2412yes—
1331#95C2412yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335C24—24no—
1336C24—24no—
1337C24—28no—
1338C24—28no—
1339C24—28no—
1340C24—28no—
1341C24—28no—
1342C24—42no—
1343C24—42no—
1344C24—42no—
1345C24—42no—
1346C24—44no—
1347C24—44no—
1348C24—44no—
1349C24—44no—
1350C24—44no—
1351C24—44no—
1352C24—44no—
1353C24—44no—
1354C24—44no—
1355C24C2×#4118yes—
1356C24C2512yes—
1357C24C2514yes—
1358C24C2511yescharacteristic
1359C24C2512yes—
1360C24C2512yes—
1361C24C2511yescharacteristic
1362C24C2512yes—
1363#41—264no—
1364#41—432no—
1365#41—464no—
1366#41—432no—
1367#41—416no—
1368#41—432no—
1369#41—416no—
1370C2×Q8—22no—
1371C2×Q8—28no—
1372C2×Q8—24no—
1373C2×Q8—22no—
1374C2×Q8—24no—
1375C2×Q8—24no—
1376C2×Q8—22no—
1377C2×Q8—24no—
1378C2×Q8—24no—
1379C2×Q8—28no—
1380C2×Q8—24no—
1381C2×Q8—22no—
1382C2×Q8—22no—
1383C2×Q8—24no—
1384C2×Q8—44no—
1385C2×Q8—42no—
1386C2×Q8—432no—
1387C2×Q8C22×D418yes—
1388C2×Q8H(5,𝔽2)14yescomplemented
1389C2×D4—24no—
1390C2×D4—28no—
1391C2×D4—28no—
1392C2×D4—24no—
1393C2×D4—232no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—28no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—22no—
1400C2×D4—24no—
1401C2×D4—28no—
1402C2×D4—28no—
1403C2×D4—24no—
1404C2×D4—28no—
1405C2×D4—24no—
1406C2×D4—28no—
1407C2×D4—24no—
1408C2×D4—28no—
1409C2×D4—24no—
1410C2×D4—28no—
1411C2×D4—24no—
1412C2×D4—22no—
1413C2×D4—24no—
1414C2×D4—22no—
1415C2×D4—28no—
1416C2×D4—28no—
1417C2×D4—24no—
1418C2×D4—28no—
1419C2×D4—24no—
1420C2×D4—24no—
1421C2×D4—28no—
1422C2×D4—24no—
1423C2×D4—24no—
1424C2×D4—22no—
1425C2×D4—22no—
1426C2×D4—24no—
1427C2×D4—24no—
1428C2×D4—24no—
1429C2×D4—22no—
1430C2×D4—22no—
1431C2×D4—22no—
1432C2×D4—24no—
1433C2×D4—432no—
1434C2×D4—41no—
1435C2×D4—41no—
1436C2×D4—44no—
1437C2×D4—44no—
1438C2×D4—42no—
1439C2×D4—44no—
1440C2×D4—42no—
1441C2×D4—42no—
1442C2×D4—42no—
1443C2×D4—464no—
1444C2×D4—42no—
1445C2×D4—42no—
1446C2×D4—44no—
1447C2×D4—42no—
1448C2×D4—42no—
1449C2×D4—42no—
1450C2×D4—44no—
1451C2×D4—44no—
1452C2×D4—44no—
1453C2×D4—42no—
1454C2×D4—42no—
1455C2×D4—42no—
1456C2×D4—42no—
1457C2×D4—44no—
1458C2×D4—44no—
1459C2×D4—44no—
1460C2×D4—464no—
1461C2×D4—464no—
1462C2×D4—432no—
1463C2×D4—816no—
1464C2×D4—816no—
1465C2×D4C22×D4116yes—
1466C2×D4C22×D414yes—
1467C2×D4C22×D414yes—
1468C2×D4C2×#4118yes—
1469C2×D4C2×#4114yes—
1470C2×D4C2×#4114yes—
1471C2×D4H(5,𝔽2)14yes—
1472C22×C4—28no—
1473C22×C4—28no—
1474C22×C4—22no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—24no—
1478C22×C4—22no—
1479C22×C4—24no—
1480C22×C4—24no—
1481C22×C4—24no—
1482C22×C4—28no—
1483C22×C4—24no—
1484C22×C4—24no—
1485C22×C4—24no—
1486C22×C4—28no—
1487C22×C4—24no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—28no—
1491C22×C4—24no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—22no—
1496C22×C4—28no—
1497C22×C4—24no—
1498C22×C4—28no—
1499C22×C4—24no—
1500C22×C4—22no—
1501C22×C4—28no—
1502C22×C4—24no—
1503C22×C4—28no—
1504C22×C4—24no—
1505C22×C4—22no—
1506C22×C4—22no—
1507C22×C4—24no—
1508C22×C4—24no—
1509C22×C4—22no—
1510C22×C4—24no—
1511C22×C4—24no—
1512C22×C4—22no—
1513C22×C4—22no—
1514C22×C4—22no—
1515C22×C4—24no—
1516C22×C4—22no—
1517C22×C4—24no—
1518C22×C4—24no—
1519C22×C4—41no—
1520C22×C4—42no—
1521C22×C4—42no—
1522C22×C4—44no—
1523C22×C4—44no—
1524C22×C4—44no—
1525C22×C4—42no—
1526C22×C4—42no—
1527C22×C4—42no—
1528C22×C4—44no—
1529C22×C4—42no—
1530C22×C4—44no—
1531C22×C4—42no—
1532C22×C4—41no—
1533C22×C4—42no—
1534C22×C4—42no—
1535C22×C4—42no—
1536C22×C4—42no—
1537C22×C4—42no—
1538C22×C4—41no—
1539C22×C4—42no—
1540C22×C4—44no—
1541C22×C4—44no—
1542C22×C4—44no—
1543C22×C4—816no—
1544C22×C4C22×D4116yes—
1545C22×C4C22×D418yes—
1546C22×C4C22×D418yes—
1547C22×C4C2×#4114yes—
1548C22×C4C2511yescharacteristic
1549C22×C4C2511yescharacteristic
1550C22×C4C2512yes—
1551C22×C4C2512yes—
1552C22×C4C2512yes—
1553C22×C4C2511yescharacteristic
1554C22×C4C2511yescharacteristic
1555C22×C4C2512yes—
1556C22×C4C2511yescharacteristic
1557C22×C4C2514yes—
1558C22×C4C2512yes—
1559C22×C4C2512yes—
1560C22×C4C2511yescharacteristic
1561C22×C4C2512yes—
1562C22×C4C2512yes—
1563C22×C4C2511yescharacteristic
1564C22×C4C2511yescharacteristic
1565C22×C4C2514yes—
1566C22×C4C2512yes—
1567C22×C4C2511yescharacteristic
1568C22×C4C2512yes—
1569C22×C4C2514yes—
1570C22×C4C2512yes—
1571C22×C4C2511yescharacteristic
1572C22×C4C2512yes—
1573C22×C4C2511yescharacteristic
1574C22×C4C2511yescharacteristic
1575C22×C4C2511yescharacteristic
1576C4⋊C4—24no—
1577C4⋊C4—22no—
1578C4⋊C4—24no—
1579C4⋊C4—22no—
1580C4⋊C4—28no—
1581C4⋊C4—28no—
1582C4⋊C4—28no—
1583C4⋊C4—28no—
1584C4⋊C4—22no—
1585C4⋊C4—24no—
1586C4⋊C4—28no—
1587C4⋊C4—24no—
1588C4⋊C4—22no—
1589C4⋊C4—24no—
1590C4⋊C4—28no—
1591C4⋊C4—24no—
1592C4⋊C4—28no—
1593C4⋊C4—24no—
1594C4⋊C4—28no—
1595C4⋊C4—24no—
1596C4⋊C4—22no—
1597C4⋊C4—22no—
1598C4⋊C4—24no—
1599C4⋊C4—22no—
1600C4⋊C4—22no—
1601C4⋊C4—24no—
1602C4⋊C4—24no—
1603C4⋊C4—24no—
1604C4⋊C4—28no—
1605C4⋊C4—22no—
1606C4⋊C4—22no—
1607C4⋊C4—42no—
1608C4⋊C4—44no—
1609C4⋊C4—44no—
1610C4⋊C4—44no—
1611C4⋊C4—44no—
1612C4⋊C4—44no—
1613C4⋊C4—44no—
1614C4⋊C4—42no—
1615C4⋊C4—42no—
1616C4⋊C4—41no—
1617C4⋊C4—42no—
1618C4⋊C4—42no—
1619C4⋊C4—42no—
1620C4⋊C4—44no—
1621C4⋊C4—44no—
1622C4⋊C4—42no—
1623C4⋊C4C22×D418yes—
1624C4⋊C4C22×D414yes—
1625C4⋊C4C22×D414yes—
1626C4⋊C4C22×D4116yes—
1627C4⋊C4C22×D418yes—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—28no—
1632C22⋊C4—24no—
1633C22⋊C4—28no—
1634C22⋊C4—28no—
1635C22⋊C4—22no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—28no—
1643C22⋊C4—24no—
1644C22⋊C4—28no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—28no—
1648C22⋊C4—28no—
1649C22⋊C4—28no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—28no—
1653C22⋊C4—28no—
1654C22⋊C4—24no—
1655C22⋊C4—22no—
1656C22⋊C4—28no—
1657C22⋊C4—28no—
1658C22⋊C4—24no—
1659C22⋊C4—24no—
1660C22⋊C4—24no—
1661C22⋊C4—28no—
1662C22⋊C4—24no—
1663C22⋊C4—22no—
1664C22⋊C4—28no—
1665C22⋊C4—24no—
1666C22⋊C4—42no—
1667C22⋊C4—42no—
1668C22⋊C4—42no—
1669C22⋊C4—44no—
1670C22⋊C4—42no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4—44no—
1677C22⋊C4—44no—
1678C22⋊C4—44no—
1679C22⋊C4—44no—
1680C22⋊C4—44no—
1681C22⋊C4—44no—
1682C22⋊C4—44no—
1683C22⋊C4—44no—
1684C22⋊C4—42no—
1685C22⋊C4—42no—
1686C22⋊C4—42no—
1687C22⋊C4—42no—
1688C22⋊C4—44no—
1689C22⋊C4—44no—
1690C22⋊C4—42no—
1691C22⋊C4—42no—
1692C22⋊C4—41no—
1693C22⋊C4—41no—
1694C22⋊C4—41no—
1695C22⋊C4—44no—
1696C22⋊C4—42no—
1697C22⋊C4—42no—
1698C22⋊C4—44no—
1699C22⋊C4—42no—
1700C22⋊C4—44no—
1701C22⋊C4—42no—
1702C22⋊C4—42no—
1703C22⋊C4—44no—
1704C22⋊C4—44no—
1705C22⋊C4C22×D418yes—
1706C22⋊C4C22×D4116yes—
1707C22⋊C4C22×D418yes—
1708C42—24no—
1709C42—22no—
1710C42—22no—
1711C42—22no—
1712C42—24no—
1713C42—28no—
1714C42—24no—
1715C42—24no—
1716C42—28no—
1717C42—22no—
1718C42—22no—
1719C42—22no—
1720C42—24no—
1721C42—28no—
1722C42—24no—
1723C42—22no—
1724C42—22no—
1725C42—24no—
1726C42—22no—
1727C42—24no—
1728C42—22no—
1729C42—42no—
1730C42—42no—
1731C42—41no—
1732C42—44no—
1733C42—44no—
1734C42—41no—
1735C42C22×D414yes—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—21no—
1742C23—22no—
1743C23—21no—
1744C23—22no—
1745C23—22no—
1746C23—22no—
1747C23—21no—
1748C23—22no—
1749C23—22no—
1750C23—21no—
1751C23—22no—
1752C23—22no—
1753C23—21no—
1754C23—22no—
1755C23—21no—
1756C23—22no—
1757C23—22no—
1758C23—216no—
1759C23—21no—
1760C23—24no—
1761C23—22no—
1762C23—21no—
1763C23—22no—
1764C23—24no—
1765C23—22no—
1766C23—24no—
1767C23—22no—
1768C23—24no—
1769C23—21no—
1770C23—21no—
1771C23—22no—
1772C23—24no—
1773C23—24no—
1774C23—21no—
1775C23—21no—
1776C23—22no—
1777C23—24no—
1778C23—22no—
1779C23—21no—
1780C23—48no—
1781C23—48no—
1782C23—416no—
1783C23—416no—
1784C23—84no—
1785C23—84no—
1786C23—84no—
1787C23—84no—
1788C23—88no—
1789C23—88no—
1790C23—88no—
1791C23—88no—
1792C23—88no—
1793C23—88no—
1794C23—88no—
1795C23—88no—
1796C23—88no—
1797C23—88no—
1798C23—164no—
1799C23—164no—
1800C23C23×D414yes—
1801C23C23×D414yes—
1802C23C22×#4114yes—
1803C23C22×#4112yes—
1804C23C22×#4114yes—
1805C23C2×H(5,𝔽2)14yes—
1806C23C2611yescharacteristic
1807Q8—216no—
1808Q8—28no—
1809Q8—416no—
1810Q8—48no—
1811Q8—44no—
1812Q8—48no—
1813D4—216no—
1814D4—232no—
1815D4—28no—
1816D4—28no—
1817D4—48no—
1818D4—416no—
1819D4—48no—
1820D4—416no—
1821D4—416no—
1822D4—48no—
1823D4—48no—
1824D4—44no—
1825D4—416no—
1826D4—48no—
1827D4—48no—
1828D4—48no—
1829D4—44no—
1830D4—84no—
1831D4—88no—
1832D4—84no—
1833D4—84no—
1834D4—88no—
1835D4—84no—
1836D4—164no—
1837D4#546116yescomplemented
1838C2×C4—21no—
1839C2×C4—22no—
1840C2×C4—21no—
1841C2×C4—22no—
1842C2×C4—24no—
1843C2×C4—24no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—21no—
1851C2×C4—21no—
1852C2×C4—232no—
1853C2×C4—216no—
1854C2×C4—28no—
1855C2×C4—216no—
1856C2×C4—22no—
1857C2×C4—21no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—21no—
1861C2×C4—22no—
1862C2×C4—24no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—22no—
1869C2×C4—21no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—21no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—22no—
1879C2×C4—21no—
1880C2×C4—22no—
1881C2×C4—24no—
1882C2×C4—24no—
1883C2×C4—22no—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—22no—
1887C2×C4—24no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—21no—
1895C2×C4—22no—
1896C2×C4—22no—
1897C2×C4—24no—
1898C2×C4—22no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—21no—
1902C2×C4—24no—
1903C2×C4—21no—
1904C2×C4—21no—
1905C2×C4—22no—
1906C2×C4—21no—
1907C2×C4—21no—
1908C2×C4—22no—
1909C2×C4—22no—
1910C2×C4—22no—
1911C2×C4—22no—
1912C2×C4—21no—
1913C2×C4—44no—
1914C2×C4—416no—
1915C2×C4—48no—
1916C2×C4—48no—
1917C2×C4—416no—
1918C2×C4—416no—
1919C2×C4—48no—
1920C2×C4—48no—
1921C2×C4—48no—
1922C2×C4—44no—
1923C2×C4—44no—
1924C2×C4—48no—
1925C2×C4—44no—
1926C2×C4—82no—
1927C2×C4—84no—
1928C2×C4—84no—
1929C2×C4—84no—
1930C2×C4—84no—
1931C2×C4—88no—
1932C2×C4—84no—
1933C2×C4—164no—
1934C2×C4C23×D414yes—
1935C2×C4C23×D412yes—
1936C2×C4C23×D414yes—
1937C2×C4C23×D418yes—
1938C2×C4C23×D412yes—
1939C2×C4C23×D412yes—
1940C2×C4C22×#4112yes—
1941C2×C4C22×#4112yes—
1942C2×C4C2×H(5,𝔽2)14yes—
1943C2×C4C2×H(5,𝔽2)12yes—
1944C2×C4C2×H(5,𝔽2)12yes—
1945C2×C4#58512yes—
1946C2×C4#58512yes—
1947C22—24no—
1948C22—24no—
1949C22—24no—
1950C22—24no—
1951C22—24no—
1952C22—24no—
1953C22—24no—
1954C22—22no—
1955C22—24no—
1956C22—22no—
1957C22—24no—
1958C22—24no—
1959C22—24no—
1960C22—22no—
1961C22—24no—
1962C22—42no—
1963C22—41no—
1964C22—42no—
1965C22—42no—
1966C22—41no—
1967C22—42no—
1968C22—42no—
1969C22—41no—
1970C22—42no—
1971C22—41no—
1972C22—42no—
1973C22—42no—
1974C22—41no—
1975C22—42no—
1976C22—44no—
1977C22—41no—
1978C22—44no—
1979C22—42no—
1980C22—41no—
1981C22—44no—
1982C22—42no—
1983C22—41no—
1984C22—42no—
1985C22—44no—
1986C22—41no—
1987C22—42no—
1988C22—44no—
1989C22—41no—
1990C22—42no—
1991C22—44no—
1992C22—44no—
1993C22—42no—
1994C22—41no—
1995C22—816no—
1996C22—1616no—
1997C22—1616no—
1998C22C2×#54618yes—
1999C22C24×D411yescharacteristic
2000C22C23×#4111yescharacteristic
2001C22C22×H(5,𝔽2)11yescharacteristic
2002C22C22×H(5,𝔽2)11yescharacteristic
2003C22C2×#58511yescharacteristic
2004C22C2×#58511yescharacteristic
2005C222−1+611yescharacteristic
2006C4—22no—
2007C4—22no—
2008C4—24no—
2009C4—24no—
2010C4—24no—
2011C4—22no—
2012C4—28no—
2013C4—41no—
2014C4—42no—
2015C4—42no—
2016C4—42no—
2017C4—41no—
2018C4—41no—
2019C4—42no—
2020C4—42no—
2021C4—44no—
2022C4—41no—
2023C4—41no—
2024C4—41no—
2025C4—42no—
2026C4—44no—
2027C4—41no—
2028C4—42no—
2029C4—41no—
2030C4—42no—
2031C4—42no—
2032C4C2×#54614yes—
2033C4#348814yes—
2034C2—28no—
2035C2—42no—
2036C2—44no—
2037C2—44no—
2038C2—81no—
2039C2—84no—
2040C2—82no—
2041C2C22×#54611yescharacteristic
2042C2#6278111yescharacteristic
2043C2C2×#348811yescharacteristic
2044C2#6292111yescharacteristic
2045C2#6298411yescharacteristic
2046C2#6300211yescharacteristic
2047C2#6301411yescharacteristic
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×#3496C2semidirect
2. C2×#3482C2semidirect
3. #59418C2semidirect
4. #59131C2semidirect
5. #59094C2semidirect
6. #59091C2semidirect
7. #59078C2semidirect
8. #59040C2semidirect
9. #59030C2semidirect
10. #58996C2semidirect
11. #45404C2semidirect
12. #45258C2semidirect
13. #44044C2semidirect
14. #43930C2semidirect
15. #39468C2semidirect
16. #39467C2semidirect
17. #38957C2semidirect
18. #38950C2semidirect
19. #37781C2semidirect
20. #37778C2semidirect
21. #36422C2semidirect
22. #36258C2semidirect
23. #36258C2semidirect
24. #36216C2semidirect
25. #36150C2semidirect
26. #36107C2semidirect
27. D4×#124C2semidirect
28. D4×C22⋊Q8C2semidirect
29. #35821C2semidirect
30. #35750C2semidirect
31. #34715C2semidirect
32. C2×#2426C2semidirect
33. #34308C2semidirect
34. #34258C2semidirect
35. C4×#546C2semidirect
39. C2×#557C22semidirect
40. C2×#556C22semidirect
41. C2×#556C22semidirect
42. C2×#552C22semidirect
43. C2×#552C22semidirect
44. C2×D4×Q8C22semidirect
45. C2×#548C22semidirect
49. C2×#547C22semidirect
54. C2×#546C22semidirect
55. C2×#546C22semidirect
61. C2×#533C22semidirect
62. C2×#533C22semidirect
65. C2×#529C22semidirect
66. C2×#529C22semidirect
67. C22×#124C22semidirect
68. C22×C22⋊Q8C22semidirect
71. C2×#520C22semidirect
72. C2×C4×#41C22semidirect
73. C2×C4×#41C22semidirect
74. C2×C4×#41C22semidirect
75. C22×C4×Q8C22semidirect
77. #2858C22semidirect
78. #2857C22semidirect
79. #2856C22semidirect
80. #2854C22semidirect
81. #2854C22semidirect
82. #2853C22semidirect
83. #2850C22semidirect
84. #2848C22semidirect
85. #2715C22semidirect
86. #2714C22semidirect
87. #2714C22semidirect
88. #2711C22semidirect
89. #2711C22semidirect
90. #2711C22semidirect
91. #2707C22semidirect
92. #2707C22semidirect
93. #2705C22semidirect
94. #2704C22semidirect
95. #2702C22semidirect
96. #2694C22semidirect
97. #2691C22semidirect
98. #2691C22semidirect
99. #2685C22semidirect
100. #2685C22semidirect
101. #2685C22semidirect
102. #2681C22semidirect
103. #2676C22semidirect
104. #2672C22semidirect
105. #2670C22semidirect
106. #2620C22semidirect
107. #2618C22semidirect
108. #2616C22semidirect
109. #2613C22semidirect
110. #2559C22semidirect
111. #2558C22semidirect
112. #2555C22semidirect
113. #2548C22semidirect
114. #2548C22semidirect
115. #2547C22semidirect
116. #2545C22semidirect
117. #2544C22semidirect
118. #2542C22semidirect
119. #2540C22semidirect
120. #2540C22semidirect
121. #2538C22semidirect
122. #2538C22semidirect
123. #2538C22semidirect
124. #2534C22semidirect
125. #2500C22semidirect
126. #2498C22semidirect
127. #2491C22semidirect
128. #2491C22semidirect
129. #2490C22semidirect
130. #2490C22semidirect
131. #2490C22semidirect
132. #2485C22semidirect
133. #2482C22semidirect
134. #2480C22semidirect
135. #2476C22semidirect
136. #2476C22semidirect
137. #2476C22semidirect
138. #2474C22semidirect
139. #2472C22semidirect
140. #2472C22semidirect
141. #2472C22semidirect
142. #2472C22semidirect
143. #2471C22semidirect
144. #2465C22semidirect
145. #2465C22semidirect
146. #2460C22semidirect
147. #2459C22semidirect
148. #2458C22semidirect
149. #2458C22semidirect
150. #2456C22semidirect
151. #2454C22semidirect
152. #2454C22semidirect
153. #2452C22semidirect
154. #2451C22semidirect
155. #2451C22semidirect
156. #2449C22semidirect
157. #2448C22semidirect
158. #2448C22semidirect
159. #2445C22semidirect
160. #2444C22semidirect
161. #2443C22semidirect
162. #2442C22semidirect
163. #2440C22semidirect
164. #2439C22semidirect
165. #2437C22semidirect
166. #2437C22semidirect
167. #2436C22semidirect
168. #2435C22semidirect
169. #2435C22semidirect
170. #2435C22semidirect
171. #2435C22semidirect
172. #2432C22semidirect
173. #2432C22semidirect
174. #2431C22semidirect
175. #2430C22semidirect
176. #2429C22semidirect
177. #2427C22semidirect
178. #2427C22semidirect
179. #2426C22semidirect
180. #2426C22semidirect
181. #2426C22semidirect
182. #2426C22semidirect
183. #2426C22semidirect
184. #2426C22semidirect
185. #2426C22semidirect
186. #2426C22semidirect
187. #2426C22semidirect
188. #2426C22semidirect
189. #2426C22semidirect
190. #2426C22semidirect
191. #2426C22semidirect
192. #2426C22semidirect
193. #2426C22semidirect
194. #2425C22semidirect
195. #2424C22semidirect
196. #2424C22semidirect
197. #2424C22semidirect
198. #2423C22semidirect
199. #2421C22semidirect
200. #2420C22semidirect
201. #2418C22semidirect
202. #2418C22semidirect
203. #2417C22semidirect
204. #2417C22semidirect
205. #2417C22semidirect
206. #2416C22semidirect
207. #2416C22semidirect
208. #2416C22semidirect
209. #2414C22semidirect
210. #2414C22semidirect
211. #2414C22semidirect
212. #2414C22semidirect
213. #2413C22semidirect
214. #2411C22semidirect
215. #2411C22semidirect
216. #2411C22semidirect
217. #2411C22semidirect
218. #2410C22semidirect
219. #2410C22semidirect
220. #2409C22semidirect
221. #2408C22semidirect
222. #2408C22semidirect
223. #2407C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2406C22semidirect
227. #2405C22semidirect
228. #2405C22semidirect
229. #2392C22semidirect
230. C2×#396C22semidirect
231. #2388C22semidirect
232. C2×#394C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
236. #2365C22semidirect
237. #2364C22semidirect
238. #2363C22semidirect
239. #2363C22semidirect
240. #2361C22semidirect
241. #2360C22semidirect
242. #2360C22semidirect
243. #2360C22semidirect
244. #2360C22semidirect
245. #2359C22semidirect
246. #2359C22semidirect
247. #2358C22semidirect
248. #2352C22semidirect
249. #2349C22semidirect
250. D4×C4⋊C4C22semidirect
251. D4×C4⋊C4C22semidirect
252. D4×C4⋊C4C22semidirect
253. #2344C22semidirect
254. #2342C22semidirect
255. #2342C22semidirect
256. #2341C22semidirect
257. #2341C22semidirect
258. #2341C22semidirect
259. #2341C22semidirect
260. #2339C22semidirect
261. #2339C22semidirect
264. D4×C22⋊C4C22semidirect
265. D4×C22⋊C4C22semidirect
266. D4×C22⋊C4C22semidirect
267. D4×C22⋊C4C22semidirect
268. D4×C22⋊C4C22semidirect
269. D4×C22⋊C4C22semidirect
270. D4×C22⋊C4C22semidirect
271. D4×C22⋊C4C22semidirect
272. #2323C22semidirect
273. #2322C22semidirect
274. #2311C22semidirect
275. #2311C22semidirect
276. #2309C22semidirect
277. #2309C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×#123C22semidirect
284. C4×#123C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#120C22semidirect
290. #2297C22semidirect
291. #2297C22semidirect
292. #2293C22semidirect
293. C2×#390C22semidirect
294. C2×#390C22semidirect
295. C2×#390C22semidirect
296. C2×#389C22semidirect
297. C2×#388C22semidirect
298. C42×D4C22semidirect
299. C42×D4C22semidirect
300. C2×C4×C22⋊C4C22semidirect
331. #547D4semidirect
910. C22×D4#41semidirect
1388. C2×Q8H(5,𝔽2)semidirect
1837. D4#546semidirect

Maximal subgroups

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

subgroupindex
C2×#34962
C2×#34822
#594182
#591312
#590942
#590912
#590782
#590402
#590302
#589962
#454042
#452582
#440442
#439302
#394682
#394672
#389572
#389502
#377812
#377782
#364222
#362582
#362162
#361502
#361072
D4×#1242
D4×C22⋊Q82
#358212
#357502
#347152
C2×#24262
#343082
#342582
C4×#5462