Finite Group Databasebeta

← #7692182

Subgroups — #7692182

Order 512.

8813 conjugacy classes of subgroups.

The subgroup lattice has 2053 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3520C211yesmaximal, characteristic, complemented
2C2×D4×#41C211yesmaximal, characteristic, complemented
3#59421C211yesmaximal, characteristic, complemented
4#59131C212yesmaximal, complemented
5#59093C212yesmaximal, complemented
6#59049C211yesmaximal, characteristic, complemented
7#59042C211yesmaximal, characteristic, complemented
8#59024C212yesmaximal, complemented
9#59007C214yesmaximal, complemented
10#59004C212yesmaximal, complemented
11#45417C212yesmaximal, complemented
12#45247C212yesmaximal, complemented
13#44001C214yesmaximal, complemented
14#43998C214yesmaximal, complemented
15#38956C211yesmaximal, characteristic, complemented
16#38950C212yesmaximal, complemented
17#38909C211yesmaximal, characteristic, complemented
18#38905C212yesmaximal, complemented
19#37669C212yesmaximal, complemented
20#37666C214yesmaximal, complemented
21#36274C211yesmaximal, characteristic, complemented
22#36212C212yesmaximal, complemented
23#36162C212yesmaximal, complemented
24#36153C211yesmaximal, characteristic, complemented
25#36150C211yesmaximal, characteristic, complemented
26#36147C212yesmaximal, complemented
27D4×#124C211yesmaximal, characteristic, complemented
28D4×#121C211yesmaximal, characteristic, complemented
29#35976C212yesmaximal, complemented
30#35728C212yesmaximal, complemented
31#34700C211yesmaximal, characteristic, complemented
32C2×#2427C212yesmaximal, complemented
33#34308C211yesmaximal, characteristic, complemented
34#34175C212yesmaximal, complemented
35C4×#546C211yesmaximal, characteristic, complemented
36C23×#41C2212yes—
37#3520—216no—
38C2×#556C2211yescharacteristic, complemented
39C2×#554C2212yescomplemented
40C2×#552C2212yescomplemented
41C2×#551C2214yescomplemented
42D4×#41—216no—
43C2×#550C2211yescharacteristic, complemented
44C2×D4×Q8C2211yescharacteristic, complemented
45C2×D4×Q8C2211yescharacteristic, complemented
46C2×#548C2212yescomplemented
47C2×#548C2212yescomplemented
48C2×#547C2211yescharacteristic
49C2×#547C2212yescomplemented
50C2×#547C2211yescharacteristic, complemented
51C2×#546C2211yescharacteristic
52C2×#546C2212yes—
53C2×#546C2212yescomplemented
54C2×#546C2214yescomplemented
55C2×#546C2212yescomplemented
56C2×D42C2211yescharacteristic
57C2×D42C2212yescomplemented
58C2×D42C2212yescomplemented
59C2×#542C2212yescomplemented
60C2×#539C2214yescomplemented
61C2×#533C2211yescharacteristic, complemented
62C2×#532C2212yescomplemented
63C2×#532C2211yescharacteristic, complemented
64C2×#529C2211yescharacteristic, complemented
65C22×#124C2212yescomplemented
66C2×#525C2214yescomplemented
67C2×#525C2212yescomplemented
68C2×#525C2212yescomplemented
69C22×C22⋊Q8C2212yescomplemented
70C22×#121C2212yes—
71C2×#520C2212yescomplemented
72C2×#520C2212yescomplemented
73C2×C4×#41C2211yescharacteristic
74C22×C4×D4C2211yescharacteristic, complemented
75C22×C4×D4C2211yescharacteristic, complemented
76C22×C4×D4C2212yescomplemented
77#2858C2211yescharacteristic, complemented
78#2857C2211yescharacteristic, complemented
79#2856C2211yescharacteristic, complemented
80#2855C2212yescomplemented
81#2850C2212yescomplemented
82#2849C2214yescomplemented
83#2847C2212yescomplemented
84#2847C2212yescomplemented
85#2714C2214yescomplemented
86#2712C2214yescomplemented
87#2707C2214yescomplemented
88#2705C2214yescomplemented
89#2704C2214yescomplemented
90#2703C2214yescomplemented
91#2703C2214yescomplemented
92#2702C2214yescomplemented
93#2702C2214yescomplemented
94#2700C2214yescomplemented
95#2696C2214yescomplemented
96#2696C2214yescomplemented
97#2692C2214yescomplemented
98#2692C2214yescomplemented
99#2691C2214yescomplemented
100#2690C2214yescomplemented
101#2678C2214yescomplemented
102#2672C2214yescomplemented
103#2671C2214yescomplemented
104#2671C2214yescomplemented
105#2670C2214yescomplemented
106#2624C2212yescomplemented
107#2623C2214yescomplemented
108#2619C2212yescomplemented
109#2618C2214yescomplemented
110#2582C2211yescharacteristic, complemented
111#2568C2211yescharacteristic, complemented
112#2560C2214yescomplemented
113#2557C2214yescomplemented
114#2555C2214yescomplemented
115#2548C2211yescharacteristic, complemented
116#2548C2212yescomplemented
117#2547C2211yescharacteristic, complemented
118#2544C2212yescomplemented
119#2543C2214yescomplemented
120#2541C2211yescharacteristic, complemented
121#2540C2212yescomplemented
122#2540C2212yescomplemented
123#2537C2211yescharacteristic
124#2536C2212yescomplemented
125#2504C2212yescomplemented
126#2498C2214yescomplemented
127#2492C2212yescomplemented
128#2492C2212yescomplemented
129#2491C2212yescomplemented
130#2491C2212yescomplemented
131#2490C2212yescomplemented
132#2486C2212yescomplemented
133#2482C2214yescomplemented
134#2480C2212yescomplemented
135#2477C2214yescomplemented
136#2472C2214yescomplemented
137#2472C2214yescomplemented
138#2472C2214yescomplemented
139#2468C2212yescomplemented
140#2467C2214yescomplemented
141#2467C2214yescomplemented
142#2467C2214yescomplemented
143#2464C2214yescomplemented
144#2460C2214yescomplemented
145#2460C2214yescomplemented
146#2459C2214yescomplemented
147#2459C2214yescomplemented
148#2457C2214yescomplemented
149#2457C2212yescomplemented
150#2454C2212yescomplemented
151#2454C2212yescomplemented
152#2454C2211yescharacteristic, complemented
153#2451C2212yescomplemented
154#2451C2212yescomplemented
155#2450C2214yescomplemented
156#2450C2214yescomplemented
157#2448C2212yescomplemented
158#2448C2212yescomplemented
159#2447C2211yescharacteristic, complemented
160#2444C2214yescomplemented
161#2444C2214yescomplemented
162#2442C2211yescharacteristic, complemented
163#2439C2212yescomplemented
164#2439C2212yescomplemented
165#2438C2214yescomplemented
166#2436C2212yescomplemented
167#2436C2212yescomplemented
168#2435C2212yescomplemented
169#2435C2211yescharacteristic, complemented
170#2431C2212yescomplemented
171#2431C2212yescomplemented
172#2431C2212yescomplemented
173#2431C2212yescomplemented
174#2430C2214yescomplemented
175#2430C2214yescomplemented
176#2428C2212yescomplemented
177#2428C2212yescomplemented
178#2427C2212yes—
179#2427C2211yescharacteristic
180#2427C2212yescomplemented
181#2427C2214yescomplemented
182#2427C2212yescomplemented
183#2427C2212yescomplemented
184#2427C2212yescomplemented
185#2427C2212yescomplemented
186#2427C2214yescomplemented
187#2427C2214yescomplemented
188#2427C2212yescomplemented
189#2427C2214yescomplemented
190#2427C2212yescomplemented
191#2426C2212yescomplemented
192#2426C2212yescomplemented
193#2426C2212yescomplemented
194#2425C2214yescomplemented
195#2424C2214yescomplemented
196#2424C2214yescomplemented
197#2424C2214yescomplemented
198#2424C2214yescomplemented
199#2421C2212yescomplemented
200#2421C2212yescomplemented
201#2420C2211yescharacteristic, complemented
202#2418C2214yescomplemented
203#2418C2214yescomplemented
204#2418C2212yescomplemented
205#2417C2212yescomplemented
206#2417C2212yescomplemented
207#2417C2211yescharacteristic, complemented
208#2416C2212yescomplemented
209#2416C2212yescomplemented
210#2416C2212yescomplemented
211#2416C2212yescomplemented
212#2414C2212yescomplemented
213#2414C2212yescomplemented
214#2412C2214yescomplemented
215#2411C2214yescomplemented
216#2411C2214yescomplemented
217#2410C2214yescomplemented
218#2410C2214yescomplemented
219#2409C2212yescomplemented
220#2409C2212yescomplemented
221#2408C2212yes—
222#2408C2211yescharacteristic
223#2408C2214yescomplemented
224#2407C2212yescomplemented
225#2407C2212yescomplemented
226#2404C2214yescomplemented
227#2404C2214yescomplemented
228#2403C2214yescomplemented
229#2395C2212yescomplemented
230#2392C2212yescomplemented
231C2×#397C2214yescomplemented
232C2×#394C2214yescomplemented
233#2367C2212yescomplemented
234#2367C2212yescomplemented
235#2367C2211yescharacteristic, complemented
236#2365C2211yescharacteristic, complemented
237#2364C2214yescomplemented
238#2364C2212yescomplemented
239#2363C2212yescomplemented
240#2363C2211yescharacteristic, complemented
241#2363C2212yescomplemented
242#2363C2212yescomplemented
243#2361C2212yescomplemented
244#2360C2212yescomplemented
245#2360C2211yescharacteristic, complemented
246#2359C2214yescomplemented
247#2359C2212yescomplemented
248#2358C2212yescomplemented
249#2352C2211yescharacteristic, complemented
250#2349C2211yescharacteristic, complemented
251#2349C2212yescomplemented
252D4×C4⋊C4C2211yescharacteristic, complemented
253D4×C4⋊C4C2211yescharacteristic, complemented
254#2344C2212yescomplemented
255#2342C2212yescomplemented
256#2341C2212yescomplemented
257#2341C2212yescomplemented
258Q8×C22⋊C4C2212yescomplemented
259Q8×C22⋊C4C2212yescomplemented
260#2339C2211yescharacteristic
261#2339C2212yes—
262#2339C2212yescomplemented
263#2339C2214yescomplemented
264#2339C2212yescomplemented
265#2339C2214yescomplemented
266D4×C22⋊C4C2212yescomplemented
267D4×C22⋊C4C2212yescomplemented
268D4×C22⋊C4C2211yescharacteristic, complemented
269D4×C22⋊C4C2214yescomplemented
270D4×C22⋊C4C2212yescomplemented
271D4×C22⋊C4C2214yescomplemented
272#2323C2212yescomplemented
273#2322C2214yescomplemented
274#2311C2214yescomplemented
275#2311C2212yescomplemented
276#2311C2212yescomplemented
277#2311C2214yescomplemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×#124C2211yescharacteristic, complemented
280C4×#124C2211yescharacteristic, complemented
281C4×C22⋊Q8C2211yescharacteristic, complemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#123C2212yescomplemented
284C4×#121C2211yescharacteristic
285C4×#121C2212yescomplemented
286C4×#121C2212yescomplemented
287C4×#121C2211yescharacteristic, complemented
288C4×#120C2212yescomplemented
289C4×#120C2212yescomplemented
290C2×#391C2212yescomplemented
291#2293C2211yescharacteristic, complemented
292C2×#389C2212yescomplemented
293C2×#386C2214yescomplemented
294#2280C2212yescomplemented
295#2280C2214yescomplemented
296C2×#380C2214yescomplemented
297C2×#380C2212yescomplemented
298C42×D4C2211yescharacteristic, complemented
299C42×D4C2211yescharacteristic, complemented
300C2×C4×C22⋊C4C2212yescomplemented
301C22×#41—216no—
302C22×#41—216no—
303C22×#41—48no—
304C22×#41C2314yes—
305C22×#41C2312yes—
306C22×#41C2314yes—
307C22×#41C2312yes—
308C22×#41C2312yes—
309C22×#41C2311yescharacteristic
310C22×#41C2312yes—
311C23×Q8C2312yes—
312C23×Q8C2312yes—
313C23×D4C2312yes—
314C23×D4C2311yescharacteristic
315C23×D4C2314yes—
316C23×D4C2312yes—
317C23×D4C2311yescharacteristic
318C23×D4C2314yes—
319C24×C4C2312yes—
320C24×C4C2314yes—
321C24×C4C2312yes—
322#556—28no—
323#554—216no—
324#552—216no—
325#551—232no—
326#550—28no—
327D4×Q8—28no—
328D4×Q8—28no—
329#548—216no—
330#548—216no—
331#547—28no—
332#547—216no—
333#547D4116yescomplemented
334#546—216no—
335#546—216no—
336#546—28no—
337#546—232no—
338#546—48no—
339D42—216no—
340D42—28no—
341D42—48no—
342#542—216no—
343#539—232no—
344#533—28no—
345#532—28no—
346#532—216no—
347C2×C4⋊Q8C2311yescharacteristic
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2312yes—
350C2×C4⋊Q8C2311yescharacteristic
351C2×#127C2311yescharacteristic
352C2×#127C2312yes—
353C2×#127C2312yes—
354#529—28no—
355C2×#126C2314yes—
356C2×#126C2312yes—
357C2×#126C2314yes—
358C2×#125C2311yescharacteristic
359C2×#125C2312yes—
360C2×#125C2314yes—
361C2×#124—48no—
362C2×#124C2312yes—
363C2×#124C2311yescharacteristic
364C2×#124C2311yescharacteristic
365C2×#124C2314yes—
366C2×#124C2311yescharacteristic
367C2×#124C2312yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#124C2314yes—
375#525—232no—
376#525—216no—
377#525—216no—
378C2×#123C2312yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2314yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×#123C2314yes—
386C2×#123C2314yes—
387C2×C22⋊Q8—216no—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×#121—48no—
406C2×#121C2311yescharacteristic
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2311yescharacteristic
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#121C2314yes—
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2314yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#121C2314yes—
428C2×#121C2314yes—
429C2×#121C2314yes—
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2312yes—
433C2×#120C2312yes—
434C2×#120C2314yes—
435C2×#120C2314yes—
436C2×#120C2314yes—
437C2×#120C2314yes—
438C2×#120C2314yes—
439C2×#120C2314yes—
440C2×#120C2314yes—
441C2×#120C2312yes—
442#520—216no—
443#520—48no—
444C4×#41—28no—
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2312yes—
453C2×C4×D4—28no—
454C2×C4×D4—28no—
455C2×C4×D4—216no—
456C2×C4×D4C2311yescharacteristic
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2312yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2314yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×#117C2312yes—
495C2×#117C2314yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2314yes—
502C22×C4⋊C4C2314yes—
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2311yescharacteristic
505C22×C4⋊C4C2311yescharacteristic
506C22×C4⋊C4C2314yes—
507C22×C4⋊C4C2312yes—
508C22×C4⋊C4C2312yes—
509C22×C4⋊C4C2312yes—
510C22×C22⋊C4C2312yes—
511C22×C22⋊C4C2312yes—
512C22×C22⋊C4C2314yes—
513C22×C22⋊C4C2314yes—
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2314yes—
516C22×C22⋊C4C2314yes—
517C22×C22⋊C4C2314yes—
518C22×C22⋊C4C2312yes—
519C22×C22⋊C4C2314yes—
520C22×C42C2312yes—
521C22×C42C2311yescharacteristic
522C22×C42C2311yescharacteristic
523C22×C42C2312yes—
524#400C2314yes—
525#400C2314yes—
526#400C2314yes—
527#400C2312yes—
528#399C2314yes—
529#399C2314yes—
530#399C2314yes—
531#399C2312yes—
532#398C2314yes—
533#398C2312yes—
534#398C2314yes—
535#398C2312yes—
536#398C2314yes—
537#398C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2312yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2312yes—
548#397C2312yes—
549#397C2312yes—
550#397C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2312yes—
556#396C2312yes—
557#396C2314yes—
558#396C2314yes—
559#395C2314yes—
560#395C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2312yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2312yes—
575#394C2312yes—
576#394C2312yes—
577#394C2312yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#393C2314yes—
586#393C2314yes—
587#393C2314yes—
588#393C2314yes—
589#393C2314yes—
590#393C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2312yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#391C2314yes—
603#391C2312yes—
604#391C2311yescharacteristic
605#391C2311yescharacteristic
606#391C2312yes—
607#391C2312yes—
608#391C2314yes—
609#391C2314yes—
610#391C2314yes—
611#391C2312yes—
612#391C2312yes—
613#391C2312yes—
614#391C2312yes—
615#391C2312yes—
616#391C2312yes—
617#391C2311yescharacteristic
618#391C2311yescharacteristic
619#391C2314yes—
620#391C2314yes—
621#390C2314yes—
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#390C2314yes—
626#390C2312yes—
627#390C2312yes—
628#390C2314yes—
629#390C2314yes—
630#390C2312yes—
631#390C2311yescharacteristic
632#390C2311yescharacteristic
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
639#390C2312yes—
640#390C2311yescharacteristic
641#390C2311yescharacteristic
642#390C2314yes—
643#390C2314yes—
644#390C2311yescharacteristic
645#390C2314yes—
646#390C2311yescharacteristic
647#389C2312yes—
648#389C2312yes—
649#389C2314yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2311yescharacteristic
659#389C2311yescharacteristic
660#389C2312yes—
661#389C2314yes—
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2311yescharacteristic
665#388C2312yes—
666#388C2312yes—
667#388C2314yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2312yes—
690#388C2312yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#387C2312yes—
699#387C2312yes—
700#387C2314yes—
701#387C2312yes—
702#386C2314yes—
703#386C2312yes—
704#386C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2312yes—
732#386C2314yes—
733#386C2312yes—
734#386C2312yes—
735#386C2314yes—
736#386C2314yes—
737#386C2312yes—
738#386C2314yes—
739#386C2312yes—
740#386C2314yes—
741#386C2314yes—
742#386C2312yes—
743#386C2314yes—
744#386C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2312yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2312yes—
753#385C2312yes—
754#385C2314yes—
755#385C2312yes—
756#385C2312yes—
757#385C2314yes—
758#385C2312yes—
759#385C2312yes—
760#385C2312yes—
761#385C2312yes—
762#384C2311yescharacteristic
763#382C2312yes—
764#382C2311yescharacteristic
765#382C2311yescharacteristic
766#381C2314yes—
767#381C2314yes—
768#381C2312yes—
769#381C2312yes—
770#381C2312yes—
771#381C2314yes—
772#380C2314yes—
773#380C2314yes—
774#380C2312yes—
775#380C2312yes—
776#380C2314yes—
777#380C2314yes—
778#380C2314yes—
779#380C2312yes—
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2314yes—
786#380C2312yes—
787#380C2312yes—
788#380C2314yes—
789#380C2311yescharacteristic
790#380C2311yescharacteristic
791#380C2314yes—
792#380C2314yes—
793#380C2312yes—
794#380C2312yes—
795#380C2314yes—
796#380C2311yescharacteristic
797#380C2314yes—
798#380C2312yes—
799#380C2312yes—
800#379C2314yes—
801#379C2314yes—
802#379C2312yes—
803#379C2314yes—
804#379C2312yes—
805#379C2312yes—
806#379C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2311yescharacteristic
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2311yescharacteristic
816C4×C4⋊C4C2311yescharacteristic
817C4×C4⋊C4C2311yescharacteristic
818C4×C4⋊C4C2312yes—
819C4×C22⋊C4C2314yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2311yescharacteristic
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2311yescharacteristic
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2311yescharacteristic
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C2×#95C2312yes—
847C2×#95C2314yes—
848C2×#95C2314yes—
849C2×#95C2314yes—
850C2×#95C2312yes—
851C2×#95C2314yes—
852C43C2311yescharacteristic
853C25C2412yes—
854C25C2414yes—
855C25C2412yes—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—216no—
860C2×#41—28no—
861C2×#41—28no—
862C2×#41—216no—
863C2×#41—28no—
864C2×#41—24no—
865C2×#41—216no—
866C2×#41—28no—
867C2×#41—216no—
868C2×#41—28no—
869C2×#41—48no—
870C2×#41—48no—
871C2×#41—44no—
872C2×#41—44no—
873C2×#41—44no—
874C2×#41—44no—
875C2×#41—4128no—
876C2×#41C2×D4116yes—
877C2×#41#4118yescomplemented
878C22×Q8—28no—
879C22×Q8—28no—
880C22×Q8—28no—
881C22×Q8—44no—
882C22×Q8—44no—
883C22×Q8—44no—
884C22×Q8C2411yescharacteristic
885C22×Q8C2412yes—
886C22×Q8C2414yes—
887C22×Q8C2412yes—
888C22×Q8C2411yescharacteristic
889C22×Q8C2414yes—
890C22×D4—24no—
891C22×D4—24no—
892C22×D4—216no—
893C22×D4—28no—
894C22×D4—24no—
895C22×D4—216no—
896C22×D4—28no—
897C22×D4—28no—
898C22×D4—24no—
899C22×D4—28no—
900C22×D4—24no—
901C22×D4—28no—
902C22×D4—44no—
903C22×D4—42no—
904C22×D4—48no—
905C22×D4—48no—
906C22×D4—48no—
907C22×D4—48no—
908C22×D4C2412yes—
909C22×D4C2411yescharacteristic
910C22×D4C2412yes—
911C22×D4C2414yes—
912C22×D4C2412yes—
913C22×D4C2411yescharacteristic
914C22×D4C2412yes—
915C22×D4C2412yes—
916C22×D4C2414yes—
917C22×D4C2412yes—
918C22×D4C2414yes—
919C22×D4C2414yes—
920C22×D4C2414yes—
921C22×D4C2411yescharacteristic
922C22×D4C2412yes—
923C22×D4C2411yescharacteristic
924C22×D4C2412yes—
925C22×D4C2414yes—
926C22×D4C2412yes—
927C22×D4C2414yes—
928C22×D4C2414yes—
929C22×D4C2414yes—
930C22×D4C2414yes—
931C22×D4C2414yes—
932C22×D4C2411yescharacteristic
933C23×C4—216no—
934C23×C4—28no—
935C23×C4—216no—
936C23×C4—28no—
937C23×C4—28no—
938C23×C4—44no—
939C23×C4—44no—
940C23×C4—44no—
941C23×C4—48no—
942C23×C4C2411yescharacteristic
943C23×C4C2411yescharacteristic
944C23×C4C2412yes—
945C23×C4C2412yes—
946C23×C4C2411yescharacteristic
947C23×C4C2411yescharacteristic
948C23×C4C2412yes—
949C23×C4C2412yes—
950C23×C4C2412yes—
951C23×C4C2414yes—
952C23×C4C2414yes—
953C23×C4C2414yes—
954C23×C4C2414yes—
955C23×C4C2412yes—
956C23×C4C2412yes—
957C23×C4C2412yes—
958C23×C4C2411yescharacteristic
959C23×C4C2412yes—
960C23×C4C2414yes—
961C23×C4C2412yes—
962C23×C4C2412yes—
963C23×C4C2412yes—
964C23×C4C2411yescharacteristic
965C23×C4C2414yes—
966C23×C4C2414yes—
967C23×C4C2412yes—
968C23×C4C2412yes—
969C23×C4C2414yes—
970C4⋊Q8—28no—
971C4⋊Q8—28no—
972C4⋊Q8—24no—
973C4⋊Q8C2×D418yescomplemented
974#127—28no—
975#127—24no—
976#127—44no—
977#126—216no—
978#126—216no—
979#126—28no—
980#125—24no—
981#125—28no—
982#125—216no—
983#124—28no—
984#124—28no—
985#124—24no—
986#124—24no—
987#124—24no—
988#124—28no—
989#124—216no—
990#124—216no—
991#124—44no—
992#124—44no—
993#124—44no—
994#124—48no—
995#124—48no—
996#123—216no—
997#123—216no—
998#123—28no—
999#123—216no—
1000#123—216no—
1001#123—28no—
1002#123—216no—
1003#123—48no—
1004#123C2×D4132yescomplemented
1005C22⋊Q8—28no—
1006C22⋊Q8—28no—
1007C22⋊Q8—24no—
1008C22⋊Q8—28no—
1009C22⋊Q8—24no—
1010C22⋊Q8—28no—
1011C22⋊Q8—216no—
1012C22⋊Q8—28no—
1013C22⋊Q8—28no—
1014C22⋊Q8—216no—
1015C22⋊Q8—216no—
1016C22⋊Q8—216no—
1017C22⋊Q8—216no—
1018C22⋊Q8—216no—
1019C22⋊Q8—42no—
1020C22⋊Q8—44no—
1021C22⋊Q8C2×D4116yescomplemented
1022#121—24no—
1023#121—216no—
1024#121—216no—
1025#121—28no—
1026#121—24no—
1027#121—28no—
1028#121—28no—
1029#121—28no—
1030#121—28no—
1031#121—24no—
1032#121—28no—
1033#121—28no—
1034#121—28no—
1035#121—216no—
1036#121—216no—
1037#121—48no—
1038#121—48no—
1039#121—48no—
1040#121—48no—
1041#121—44no—
1042#121—44no—
1043#121—44no—
1044#121—44no—
1045#121—44no—
1046#121—44no—
1047#121—48no—
1048#121C2×D4116yescomplemented
1049#120—216no—
1050#120—216no—
1051#120—28no—
1052#120—216no—
1053#120—216no—
1054#120—48no—
1055#120—48no—
1056#120—48no—
1057#120—44no—
1058C4×Q8—28no—
1059C4×Q8—28no—
1060C4×Q8—24no—
1061C4×Q8—28no—
1062C4×Q8—24no—
1063C4×Q8—24no—
1064C4×Q8—44no—
1065C4×Q8—44no—
1066C4×D4—24no—
1067C4×D4—24no—
1068C4×D4—24no—
1069C4×D4—216no—
1070C4×D4—28no—
1071C4×D4—216no—
1072C4×D4—24no—
1073C4×D4—24no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—24no—
1080C4×D4—24no—
1081C4×D4—216no—
1082C4×D4—28no—
1083C4×D4—24no—
1084C4×D4—28no—
1085C4×D4—216no—
1086C4×D4—28no—
1087C4×D4—28no—
1088C4×D4—28no—
1089C4×D4—28no—
1090C4×D4—28no—
1091C4×D4—216no—
1092C4×D4—216no—
1093C4×D4—24no—
1094C4×D4—24no—
1095C4×D4—44no—
1096C4×D4—42no—
1097C4×D4—44no—
1098C4×D4—44no—
1099C4×D4—42no—
1100C4×D4—48no—
1101C4×D4—48no—
1102C4×D4C2×D418yes—
1103C4×D4C2×D418yescomplemented
1104#117—28no—
1105#117—216no—
1106#117—24no—
1107#117—28no—
1108#117—28no—
1109#117—28no—
1110#117—44no—
1111#117—48no—
1112C2×C4⋊C4—216no—
1113C2×C4⋊C4—28no—
1114C2×C4⋊C4—24no—
1115C2×C4⋊C4—24no—
1116C2×C4⋊C4—44no—
1117C2×C4⋊C4—44no—
1118C2×C4⋊C4—48no—
1119C2×C4⋊C4C2×D4116yescomplemented
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2411yescharacteristic
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2411yescharacteristic
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2411yescharacteristic
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2414yes—
1168C2×C4⋊C4C2412yes—
1169C2×C22⋊C4—216no—
1170C2×C22⋊C4—216no—
1171C2×C22⋊C4—28no—
1172C2×C22⋊C4—28no—
1173C2×C22⋊C4—28no—
1174C2×C22⋊C4—44no—
1175C2×C22⋊C4—48no—
1176C2×C22⋊C4—48no—
1177C2×C22⋊C4—48no—
1178C2×C22⋊C4—48no—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2411yescharacteristic
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2411yescharacteristic
1235C2×C22⋊C4C2411yescharacteristic
1236C2×C22⋊C4C2411yescharacteristic
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2412yes—
1241C2×C22⋊C4C2412yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C22⋊C4C2414yes—
1245C2×C22⋊C4C2412yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2412yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2414yes—
1256C2×C42—28no—
1257C2×C42—24no—
1258C2×C42—24no—
1259C2×C42—44no—
1260C2×C42C2412yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2411yescharacteristic
1263C2×C42C2414yes—
1264C2×C42C2414yes—
1265C2×C42C2411yescharacteristic
1266C2×C42C2412yes—
1267C2×C42C2412yes—
1268C2×C42C2411yescharacteristic
1269C2×C42C2412yes—
1270C2×C42C2411yescharacteristic
1271C2×C42C2412yes—
1272C2×C42C2411yescharacteristic
1273C2×C42C2412yes—
1274C2×C42C2411yescharacteristic
1275C2×C42C2411yescharacteristic
1276C2×C42C2411yescharacteristic
1277C2×C42C2411yescharacteristic
1278C2×C42C2414yes—
1279C2×C42C2414yes—
1280C2×C42C2411yescharacteristic
1281C2×C42C2412yes—
1282C2×C42C2412yes—
1283C2×C42C2411yescharacteristic
1284C2×C42C2411yescharacteristic
1285#95C2412yes—
1286#95C2411yescharacteristic
1287#95C2411yescharacteristic
1288#95C2414yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2411yescharacteristic
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2411yescharacteristic
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2411yescharacteristic
1316#95C2411yescharacteristic
1317#95C2412yes—
1318#95C2412yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2412yes—
1322#95C2412yes—
1323#95C2414yes—
1324#95C2412yes—
1325#95C2412yes—
1326#95C2412yes—
1327#95C2412yes—
1328#95C2412yes—
1329#95C2412yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2412yes—
1333#95C2414yes—
1334#95C2414yes—
1335C24—28no—
1336C24—24no—
1337C24—24no—
1338C24—24no—
1339C24—28no—
1340C24—24no—
1341C24—24no—
1342C24—28no—
1343C24—24no—
1344C24—24no—
1345C24—28no—
1346C24—42no—
1347C24—42no—
1348C24—42no—
1349C24—44no—
1350C24—44no—
1351C24—42no—
1352C24—44no—
1353C24—42no—
1354C24—42no—
1355C24—42no—
1356C24C2512yes—
1357C24C2514yes—
1358C24C2512yes—
1359C24C2511yescharacteristic
1360C24C2512yes—
1361C24C2511yescharacteristic
1362C24C2512yes—
1363#41—232no—
1364#41—264no—
1365#41—464no—
1366#41—464no—
1367#41—432no—
1368#41—432no—
1369#41—816no—
1370C2×Q8—22no—
1371C2×Q8—22no—
1372C2×Q8—24no—
1373C2×Q8—28no—
1374C2×Q8—28no—
1375C2×Q8—24no—
1376C2×Q8—28no—
1377C2×Q8—24no—
1378C2×Q8—22no—
1379C2×Q8—24no—
1380C2×Q8—22no—
1381C2×Q8—22no—
1382C2×Q8—24no—
1383C2×Q8—44no—
1384C2×Q8—44no—
1385C2×Q8—44no—
1386C2×Q8—432no—
1387C2×Q8—816no—
1388C2×Q8C22×D418yes—
1389C2×Q8C2×#4114yes—
1390C2×D4—24no—
1391C2×D4—28no—
1392C2×D4—28no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—28no—
1398C2×D4—28no—
1399C2×D4—22no—
1400C2×D4—24no—
1401C2×D4—28no—
1402C2×D4—28no—
1403C2×D4—24no—
1404C2×D4—28no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—28no—
1408C2×D4—22no—
1409C2×D4—24no—
1410C2×D4—24no—
1411C2×D4—28no—
1412C2×D4—28no—
1413C2×D4—24no—
1414C2×D4—28no—
1415C2×D4—28no—
1416C2×D4—22no—
1417C2×D4—28no—
1418C2×D4—22no—
1419C2×D4—24no—
1420C2×D4—28no—
1421C2×D4—24no—
1422C2×D4—24no—
1423C2×D4—22no—
1424C2×D4—28no—
1425C2×D4—24no—
1426C2×D4—22no—
1427C2×D4—24no—
1428C2×D4—22no—
1429C2×D4—24no—
1430C2×D4—22no—
1431C2×D4—22no—
1432C2×D4—24no—
1433C2×D4—432no—
1434C2×D4—42no—
1435C2×D4—41no—
1436C2×D4—44no—
1437C2×D4—42no—
1438C2×D4—44no—
1439C2×D4—44no—
1440C2×D4—42no—
1441C2×D4—42no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—42no—
1449C2×D4—44no—
1450C2×D4—44no—
1451C2×D4—44no—
1452C2×D4—42no—
1453C2×D4—42no—
1454C2×D4—44no—
1455C2×D4—44no—
1456C2×D4—44no—
1457C2×D4—44no—
1458C2×D4—44no—
1459C2×D4—416no—
1460C2×D4—464no—
1461C2×D4—416no—
1462C2×D4—432no—
1463C2×D4—832no—
1464C2×D4C22×D4116yes—
1465C2×D4C22×D414yes—
1466C2×D4C22×D414yes—
1467C2×D4C2×#4118yes—
1468C2×D4C2×#4114yes—
1469C2×D4H(5,𝔽2)14yes—
1470C2×D4H(5,𝔽2)14yes—
1471C22×C4—24no—
1472C22×C4—28no—
1473C22×C4—28no—
1474C22×C4—24no—
1475C22×C4—22no—
1476C22×C4—24no—
1477C22×C4—24no—
1478C22×C4—24no—
1479C22×C4—22no—
1480C22×C4—24no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—22no—
1484C22×C4—24no—
1485C22×C4—28no—
1486C22×C4—24no—
1487C22×C4—28no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—28no—
1491C22×C4—22no—
1492C22×C4—22no—
1493C22×C4—22no—
1494C22×C4—22no—
1495C22×C4—24no—
1496C22×C4—24no—
1497C22×C4—24no—
1498C22×C4—28no—
1499C22×C4—28no—
1500C22×C4—24no—
1501C22×C4—28no—
1502C22×C4—22no—
1503C22×C4—24no—
1504C22×C4—28no—
1505C22×C4—24no—
1506C22×C4—28no—
1507C22×C4—28no—
1508C22×C4—24no—
1509C22×C4—22no—
1510C22×C4—22no—
1511C22×C4—24no—
1512C22×C4—24no—
1513C22×C4—22no—
1514C22×C4—22no—
1515C22×C4—22no—
1516C22×C4—24no—
1517C22×C4—22no—
1518C22×C4—24no—
1519C22×C4—24no—
1520C22×C4—42no—
1521C22×C4—44no—
1522C22×C4—44no—
1523C22×C4—44no—
1524C22×C4—42no—
1525C22×C4—42no—
1526C22×C4—41no—
1527C22×C4—464no—
1528C22×C4—432no—
1529C22×C4—42no—
1530C22×C4—42no—
1531C22×C4—42no—
1532C22×C4—44no—
1533C22×C4—44no—
1534C22×C4—44no—
1535C22×C4—42no—
1536C22×C4—42no—
1537C22×C4—41no—
1538C22×C4—42no—
1539C22×C4—42no—
1540C22×C4—42no—
1541C22×C4—42no—
1542C22×C4—42no—
1543C22×C4—41no—
1544C22×C4—42no—
1545C22×C4—42no—
1546C22×C4—44no—
1547C22×C4—44no—
1548C22×C4—44no—
1549C22×C4—44no—
1550C22×C4—44no—
1551C22×C4—44no—
1552C22×C4—816no—
1553C22×C4C22×D418yes—
1554C22×C4C22×D4116yes—
1555C22×C4C22×D418yes—
1556C22×C4C2×#4118yes—
1557C22×C4C2×#4114yes—
1558C22×C4C2511yescharacteristic
1559C22×C4C2511yescharacteristic
1560C22×C4C2512yes—
1561C22×C4C2512yes—
1562C22×C4C2512yes—
1563C22×C4C2512yes—
1564C22×C4C2511yescharacteristic
1565C22×C4C2512yes—
1566C22×C4C2514yes—
1567C22×C4C2511yescharacteristic
1568C22×C4C2512yes—
1569C22×C4C2511yescharacteristic
1570C22×C4C2512yes—
1571C22×C4C2512yes—
1572C22×C4C2514yes—
1573C22×C4C2511yescharacteristic
1574C22×C4C2511yescharacteristic
1575C22×C4C2512yes—
1576C22×C4C2511yescharacteristic
1577C22×C4C2511yescharacteristic
1578C22×C4C2511yescharacteristic
1579C22×C4C2514yes—
1580C22×C4C2512yes—
1581C22×C4C2512yes—
1582C22×C4C2511yescharacteristic
1583C22×C4C2512yes—
1584C22×C4C2511yescharacteristic
1585C22×C4C2511yescharacteristic
1586C4⋊C4—22no—
1587C4⋊C4—24no—
1588C4⋊C4—28no—
1589C4⋊C4—22no—
1590C4⋊C4—24no—
1591C4⋊C4—24no—
1592C4⋊C4—24no—
1593C4⋊C4—28no—
1594C4⋊C4—28no—
1595C4⋊C4—24no—
1596C4⋊C4—22no—
1597C4⋊C4—24no—
1598C4⋊C4—24no—
1599C4⋊C4—22no—
1600C4⋊C4—24no—
1601C4⋊C4—28no—
1602C4⋊C4—28no—
1603C4⋊C4—24no—
1604C4⋊C4—28no—
1605C4⋊C4—24no—
1606C4⋊C4—22no—
1607C4⋊C4—22no—
1608C4⋊C4—24no—
1609C4⋊C4—22no—
1610C4⋊C4—22no—
1611C4⋊C4—24no—
1612C4⋊C4—24no—
1613C4⋊C4—22no—
1614C4⋊C4—42no—
1615C4⋊C4—44no—
1616C4⋊C4—44no—
1617C4⋊C4—44no—
1618C4⋊C4—44no—
1619C4⋊C4—42no—
1620C4⋊C4—42no—
1621C4⋊C4—42no—
1622C4⋊C4—41no—
1623C4⋊C4—41no—
1624C4⋊C4—42no—
1625C4⋊C4—42no—
1626C4⋊C4—42no—
1627C4⋊C4—44no—
1628C4⋊C4—44no—
1629C4⋊C4—42no—
1630C4⋊C4C22×D414yes—
1631C4⋊C4C22×D414yes—
1632C4⋊C4C22×D418yes—
1633C4⋊C4C22×D4116yes—
1634C4⋊C4C22×D418yes—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—28no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—22no—
1644C22⋊C4—24no—
1645C22⋊C4—28no—
1646C22⋊C4—28no—
1647C22⋊C4—24no—
1648C22⋊C4—24no—
1649C22⋊C4—28no—
1650C22⋊C4—24no—
1651C22⋊C4—28no—
1652C22⋊C4—22no—
1653C22⋊C4—24no—
1654C22⋊C4—24no—
1655C22⋊C4—24no—
1656C22⋊C4—28no—
1657C22⋊C4—28no—
1658C22⋊C4—24no—
1659C22⋊C4—28no—
1660C22⋊C4—28no—
1661C22⋊C4—24no—
1662C22⋊C4—24no—
1663C22⋊C4—28no—
1664C22⋊C4—28no—
1665C22⋊C4—24no—
1666C22⋊C4—28no—
1667C22⋊C4—28no—
1668C22⋊C4—28no—
1669C22⋊C4—22no—
1670C22⋊C4—24no—
1671C22⋊C4—24no—
1672C22⋊C4—24no—
1673C22⋊C4—24no—
1674C22⋊C4—42no—
1675C22⋊C4—42no—
1676C22⋊C4—42no—
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—44no—
1688C22⋊C4—42no—
1689C22⋊C4—42no—
1690C22⋊C4—42no—
1691C22⋊C4—41no—
1692C22⋊C4—41no—
1693C22⋊C4—41no—
1694C22⋊C4—42no—
1695C22⋊C4—42no—
1696C22⋊C4—44no—
1697C22⋊C4—42no—
1698C22⋊C4—42no—
1699C22⋊C4—42no—
1700C22⋊C4—42no—
1701C22⋊C4—44no—
1702C22⋊C4—44no—
1703C22⋊C4—44no—
1704C22⋊C4—44no—
1705C22⋊C4—44no—
1706C22⋊C4—42no—
1707C22⋊C4—44no—
1708C22⋊C4—44no—
1709C22⋊C4C22×D418yes—
1710C22⋊C4C22×D418yes—
1711C22⋊C4C22×D4116yes—
1712C42—22no—
1713C42—22no—
1714C42—24no—
1715C42—22no—
1716C42—24no—
1717C42—22no—
1718C42—24no—
1719C42—22no—
1720C42—22no—
1721C42—28no—
1722C42—28no—
1723C42—24no—
1724C42—22no—
1725C42—22no—
1726C42—24no—
1727C42—22no—
1728C42—24no—
1729C42—22no—
1730C42—42no—
1731C42—42no—
1732C42—41no—
1733C42—44no—
1734C42—44no—
1735C42—41no—
1736C42C22×D414yes—
1737C23—22no—
1738C23—22no—
1739C23—22no—
1740C23—22no—
1741C23—21no—
1742C23—22no—
1743C23—21no—
1744C23—21no—
1745C23—22no—
1746C23—22no—
1747C23—21no—
1748C23—22no—
1749C23—21no—
1750C23—22no—
1751C23—22no—
1752C23—21no—
1753C23—21no—
1754C23—21no—
1755C23—21no—
1756C23—21no—
1757C23—22no—
1758C23—22no—
1759C23—22no—
1760C23—22no—
1761C23—22no—
1762C23—22no—
1763C23—21no—
1764C23—21no—
1765C23—22no—
1766C23—24no—
1767C23—22no—
1768C23—24no—
1769C23—24no—
1770C23—22no—
1771C23—22no—
1772C23—24no—
1773C23—24no—
1774C23—24no—
1775C23—22no—
1776C23—22no—
1777C23—22no—
1778C23—24no—
1779C23—48no—
1780C23—416no—
1781C23—48no—
1782C23—48no—
1783C23—416no—
1784C23—416no—
1785C23—48no—
1786C23—48no—
1787C23—48no—
1788C23—416no—
1789C23—48no—
1790C23—84no—
1791C23—84no—
1792C23—88no—
1793C23—88no—
1794C23—84no—
1795C23—88no—
1796C23—84no—
1797C23—84no—
1798C23—84no—
1799C23—84no—
1800C23C23×D414yes—
1801C23C23×D414yes—
1802C23C22×#4112yes—
1803C23C22×#4114yes—
1804C23C2×H(5,𝔽2)14yes—
1805C23C2×H(5,𝔽2)14yes—
1806C23#58512yes—
1807C23C2611yescharacteristic
1808Q8—28no—
1809Q8—216no—
1810Q8—416no—
1811Q8—44no—
1812Q8—48no—
1813Q8—88no—
1814D4—216no—
1815D4—232no—
1816D4—28no—
1817D4—28no—
1818D4—416no—
1819D4—416no—
1820D4—416no—
1821D4—48no—
1822D4—44no—
1823D4—48no—
1824D4—48no—
1825D4—48no—
1826D4—416no—
1827D4—44no—
1828D4—48no—
1829D4—48no—
1830D4—84no—
1831D4—84no—
1832D4—88no—
1833D4—88no—
1834D4—88no—
1835D4—88no—
1836D4—88no—
1837D4—164no—
1838D4#546116yescomplemented
1839C2×C4—21no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—24no—
1843C2×C4—22no—
1844C2×C4—24no—
1845C2×C4—22no—
1846C2×C4—21no—
1847C2×C4—22no—
1848C2×C4—21no—
1849C2×C4—22no—
1850C2×C4—21no—
1851C2×C4—216no—
1852C2×C4—232no—
1853C2×C4—28no—
1854C2×C4—216no—
1855C2×C4—216no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—21no—
1861C2×C4—21no—
1862C2×C4—21no—
1863C2×C4—22no—
1864C2×C4—22no—
1865C2×C4—24no—
1866C2×C4—22no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—21no—
1871C2×C4—22no—
1872C2×C4—21no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—22no—
1876C2×C4—22no—
1877C2×C4—22no—
1878C2×C4—21no—
1879C2×C4—22no—
1880C2×C4—22no—
1881C2×C4—24no—
1882C2×C4—21no—
1883C2×C4—22no—
1884C2×C4—22no—
1885C2×C4—24no—
1886C2×C4—24no—
1887C2×C4—22no—
1888C2×C4—21no—
1889C2×C4—22no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—21no—
1894C2×C4—21no—
1895C2×C4—22no—
1896C2×C4—21no—
1897C2×C4—22no—
1898C2×C4—21no—
1899C2×C4—22no—
1900C2×C4—22no—
1901C2×C4—22no—
1902C2×C4—22no—
1903C2×C4—24no—
1904C2×C4—21no—
1905C2×C4—24no—
1906C2×C4—21no—
1907C2×C4—22no—
1908C2×C4—21no—
1909C2×C4—21no—
1910C2×C4—22no—
1911C2×C4—21no—
1912C2×C4—22no—
1913C2×C4—22no—
1914C2×C4—22no—
1915C2×C4—21no—
1916C2×C4—48no—
1917C2×C4—416no—
1918C2×C4—416no—
1919C2×C4—416no—
1920C2×C4—44no—
1921C2×C4—48no—
1922C2×C4—48no—
1923C2×C4—48no—
1924C2×C4—44no—
1925C2×C4—44no—
1926C2×C4—48no—
1927C2×C4—44no—
1928C2×C4—82no—
1929C2×C4—84no—
1930C2×C4—84no—
1931C2×C4—84no—
1932C2×C4—84no—
1933C2×C4—84no—
1934C2×C4—84no—
1935C2×C4—88no—
1936C2×C4—88no—
1937C2×C4—88no—
1938C2×C4—164no—
1939C2×C4C23×D412yes—
1940C2×C4C23×D418yes—
1941C2×C4C23×D414yes—
1942C2×C4C23×D414yes—
1943C2×C4C23×D412yes—
1944C2×C4C23×D412yes—
1945C2×C4C22×#4112yes—
1946C2×C4C22×#4114yes—
1947C2×C4C22×#4112yes—
1948C2×C4C2×H(5,𝔽2)12yes—
1949C2×C4C2×H(5,𝔽2)12yes—
1950C2×C4#58512yes—
1951C22—24no—
1952C22—24no—
1953C22—24no—
1954C22—24no—
1955C22—24no—
1956C22—24no—
1957C22—22no—
1958C22—24no—
1959C22—22no—
1960C22—24no—
1961C22—22no—
1962C22—24no—
1963C22—24no—
1964C22—24no—
1965C22—22no—
1966C22—22no—
1967C22—22no—
1968C22—24no—
1969C22—42no—
1970C22—41no—
1971C22—41no—
1972C22—42no—
1973C22—42no—
1974C22—41no—
1975C22—41no—
1976C22—41no—
1977C22—42no—
1978C22—42no—
1979C22—42no—
1980C22—41no—
1981C22—41no—
1982C22—42no—
1983C22—42no—
1984C22—41no—
1985C22—42no—
1986C22—44no—
1987C22—44no—
1988C22—42no—
1989C22—42no—
1990C22—44no—
1991C22—42no—
1992C22—44no—
1993C22—42no—
1994C22—44no—
1995C22—42no—
1996C22—44no—
1997C22—44no—
1998C22—42no—
1999C22—816no—
2000C22—832no—
2001C22—816no—
2002C22C2×#54618yes—
2003C22C24×D411yescharacteristic
2004C22C23×#4111yescharacteristic
2005C22C22×H(5,𝔽2)11yescharacteristic
2006C22C22×H(5,𝔽2)11yescharacteristic
2007C22C2×#58511yescharacteristic
2008C22C2×#58511yescharacteristic
2009C222−1+611yescharacteristic
2010C4—22no—
2011C4—24no—
2012C4—22no—
2013C4—24no—
2014C4—24no—
2015C4—28no—
2016C4—41no—
2017C4—42no—
2018C4—41no—
2019C4—41no—
2020C4—42no—
2021C4—42no—
2022C4—41no—
2023C4—42no—
2024C4—42no—
2025C4—44no—
2026C4—41no—
2027C4—42no—
2028C4—41no—
2029C4—44no—
2030C4—42no—
2031C4—41no—
2032C4—41no—
2033C4—42no—
2034C4—42no—
2035C4—41no—
2036C4C2×#54614yes—
2037C4#348814yes—
2038C2—28no—
2039C2—44no—
2040C2—42no—
2041C2—42no—
2042C2—44no—
2043C2—82no—
2044C2—84no—
2045C2C22×#54611yescharacteristic
2046C2C2×#348811yescharacteristic
2047C2#6281611yescharacteristic
2048C2#6292111yescharacteristic
2049C2#6298511yescharacteristic
2050C2#6300211yescharacteristic
2051C2#6301211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3520C2semidirect
2. C2×D4×#41C2semidirect
3. #59421C2semidirect
4. #59131C2semidirect
5. #59093C2semidirect
6. #59049C2semidirect
7. #59042C2semidirect
8. #59024C2semidirect
9. #59007C2semidirect
10. #59004C2semidirect
11. #45417C2semidirect
12. #45247C2semidirect
13. #44001C2semidirect
14. #43998C2semidirect
15. #38956C2semidirect
16. #38950C2semidirect
17. #38909C2semidirect
18. #38905C2semidirect
19. #37669C2semidirect
20. #37666C2semidirect
21. #36274C2semidirect
22. #36212C2semidirect
23. #36162C2semidirect
24. #36153C2semidirect
25. #36150C2semidirect
26. #36147C2semidirect
27. D4×#124C2semidirect
28. D4×#121C2semidirect
29. #35976C2semidirect
30. #35728C2semidirect
31. #34700C2semidirect
32. C2×#2427C2semidirect
33. #34308C2semidirect
34. #34175C2semidirect
35. C4×#546C2semidirect
38. C2×#556C22semidirect
39. C2×#554C22semidirect
40. C2×#552C22semidirect
41. C2×#551C22semidirect
43. C2×#550C22semidirect
44. C2×D4×Q8C22semidirect
45. C2×D4×Q8C22semidirect
46. C2×#548C22semidirect
47. C2×#548C22semidirect
49. C2×#547C22semidirect
50. C2×#547C22semidirect
53. C2×#546C22semidirect
54. C2×#546C22semidirect
55. C2×#546C22semidirect
57. C2×D42C22semidirect
58. C2×D42C22semidirect
59. C2×#542C22semidirect
60. C2×#539C22semidirect
61. C2×#533C22semidirect
62. C2×#532C22semidirect
63. C2×#532C22semidirect
64. C2×#529C22semidirect
65. C22×#124C22semidirect
66. C2×#525C22semidirect
67. C2×#525C22semidirect
68. C2×#525C22semidirect
69. C22×C22⋊Q8C22semidirect
71. C2×#520C22semidirect
72. C2×#520C22semidirect
74. C22×C4×D4C22semidirect
75. C22×C4×D4C22semidirect
76. C22×C4×D4C22semidirect
77. #2858C22semidirect
78. #2857C22semidirect
79. #2856C22semidirect
80. #2855C22semidirect
81. #2850C22semidirect
82. #2849C22semidirect
83. #2847C22semidirect
84. #2847C22semidirect
85. #2714C22semidirect
86. #2712C22semidirect
87. #2707C22semidirect
88. #2705C22semidirect
89. #2704C22semidirect
90. #2703C22semidirect
91. #2703C22semidirect
92. #2702C22semidirect
93. #2702C22semidirect
94. #2700C22semidirect
95. #2696C22semidirect
96. #2696C22semidirect
97. #2692C22semidirect
98. #2692C22semidirect
99. #2691C22semidirect
100. #2690C22semidirect
101. #2678C22semidirect
102. #2672C22semidirect
103. #2671C22semidirect
104. #2671C22semidirect
105. #2670C22semidirect
106. #2624C22semidirect
107. #2623C22semidirect
108. #2619C22semidirect
109. #2618C22semidirect
110. #2582C22semidirect
111. #2568C22semidirect
112. #2560C22semidirect
113. #2557C22semidirect
114. #2555C22semidirect
115. #2548C22semidirect
116. #2548C22semidirect
117. #2547C22semidirect
118. #2544C22semidirect
119. #2543C22semidirect
120. #2541C22semidirect
121. #2540C22semidirect
122. #2540C22semidirect
124. #2536C22semidirect
125. #2504C22semidirect
126. #2498C22semidirect
127. #2492C22semidirect
128. #2492C22semidirect
129. #2491C22semidirect
130. #2491C22semidirect
131. #2490C22semidirect
132. #2486C22semidirect
133. #2482C22semidirect
134. #2480C22semidirect
135. #2477C22semidirect
136. #2472C22semidirect
137. #2472C22semidirect
138. #2472C22semidirect
139. #2468C22semidirect
140. #2467C22semidirect
141. #2467C22semidirect
142. #2467C22semidirect
143. #2464C22semidirect
144. #2460C22semidirect
145. #2460C22semidirect
146. #2459C22semidirect
147. #2459C22semidirect
148. #2457C22semidirect
149. #2457C22semidirect
150. #2454C22semidirect
151. #2454C22semidirect
152. #2454C22semidirect
153. #2451C22semidirect
154. #2451C22semidirect
155. #2450C22semidirect
156. #2450C22semidirect
157. #2448C22semidirect
158. #2448C22semidirect
159. #2447C22semidirect
160. #2444C22semidirect
161. #2444C22semidirect
162. #2442C22semidirect
163. #2439C22semidirect
164. #2439C22semidirect
165. #2438C22semidirect
166. #2436C22semidirect
167. #2436C22semidirect
168. #2435C22semidirect
169. #2435C22semidirect
170. #2431C22semidirect
171. #2431C22semidirect
172. #2431C22semidirect
173. #2431C22semidirect
174. #2430C22semidirect
175. #2430C22semidirect
176. #2428C22semidirect
177. #2428C22semidirect
180. #2427C22semidirect
181. #2427C22semidirect
182. #2427C22semidirect
183. #2427C22semidirect
184. #2427C22semidirect
185. #2427C22semidirect
186. #2427C22semidirect
187. #2427C22semidirect
188. #2427C22semidirect
189. #2427C22semidirect
190. #2427C22semidirect
191. #2426C22semidirect
192. #2426C22semidirect
193. #2426C22semidirect
194. #2425C22semidirect
195. #2424C22semidirect
196. #2424C22semidirect
197. #2424C22semidirect
198. #2424C22semidirect
199. #2421C22semidirect
200. #2421C22semidirect
201. #2420C22semidirect
202. #2418C22semidirect
203. #2418C22semidirect
204. #2418C22semidirect
205. #2417C22semidirect
206. #2417C22semidirect
207. #2417C22semidirect
208. #2416C22semidirect
209. #2416C22semidirect
210. #2416C22semidirect
211. #2416C22semidirect
212. #2414C22semidirect
213. #2414C22semidirect
214. #2412C22semidirect
215. #2411C22semidirect
216. #2411C22semidirect
217. #2410C22semidirect
218. #2410C22semidirect
219. #2409C22semidirect
220. #2409C22semidirect
223. #2408C22semidirect
224. #2407C22semidirect
225. #2407C22semidirect
226. #2404C22semidirect
227. #2404C22semidirect
228. #2403C22semidirect
229. #2395C22semidirect
230. #2392C22semidirect
231. C2×#397C22semidirect
232. C2×#394C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
236. #2365C22semidirect
237. #2364C22semidirect
238. #2364C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2363C22semidirect
242. #2363C22semidirect
243. #2361C22semidirect
244. #2360C22semidirect
245. #2360C22semidirect
246. #2359C22semidirect
247. #2359C22semidirect
248. #2358C22semidirect
249. #2352C22semidirect
250. #2349C22semidirect
251. #2349C22semidirect
252. D4×C4⋊C4C22semidirect
253. D4×C4⋊C4C22semidirect
254. #2344C22semidirect
255. #2342C22semidirect
256. #2341C22semidirect
257. #2341C22semidirect
258. Q8×C22⋊C4C22semidirect
259. Q8×C22⋊C4C22semidirect
262. #2339C22semidirect
263. #2339C22semidirect
264. #2339C22semidirect
265. #2339C22semidirect
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. #2311C22semidirect
277. #2311C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×#123C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#120C22semidirect
289. C4×#120C22semidirect
290. C2×#391C22semidirect
291. #2293C22semidirect
292. C2×#389C22semidirect
293. C2×#386C22semidirect
294. #2280C22semidirect
295. #2280C22semidirect
296. C2×#380C22semidirect
297. C2×#380C22semidirect
298. C42×D4C22semidirect
299. C42×D4C22semidirect
300. C2×C4×C22⋊C4C22semidirect
333. #547D4semidirect
877. C2×#41#41semidirect
973. C4⋊Q8C2×D4semidirect
1004. #123C2×D4semidirect
1021. C22⋊Q8C2×D4semidirect
1048. #121C2×D4semidirect
1103. C4×D4C2×D4semidirect
1119. C2×C4⋊C4C2×D4semidirect
1838. D4#546semidirect

Maximal subgroups

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

subgroupindex
C2×#35202
C2×D4×#412
#594212
#591312
#590932
#590492
#590422
#590242
#590072
#590042
#454172
#452472
#440012
#439982
#389562
#389502
#389092
#389052
#376692
#376662
#362742
#362122
#361622
#361532
#361502
#361472
D4×#1242
D4×#1212
#359762
#357282
#347002
C2×#24272
#343082
#341752
C4×#5462