Finite Group Databasebeta

← #7676107

Subgroups — #7676107

Order 512.

8858 conjugacy classes of subgroups.

The subgroup lattice has 2030 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3485C211yesmaximal, characteristic, complemented
2C22×#551C211yesmaximal, characteristic, complemented
3#59805C214yesmaximal, complemented
4#59800C214yesmaximal, complemented
5#59011C214yesmaximal, complemented
6#59007C214yesmaximal, complemented
7#44759C214yesmaximal, complemented
8#44001C214yesmaximal, complemented
9#43979C214yesmaximal, complemented
10#43932C214yesmaximal, complemented
11#38905C212yesmaximal, complemented
12#38900C212yesmaximal, complemented
13#38031C212yesmaximal, complemented
14#38031C212yesmaximal, complemented
15#38028C212yesmaximal, complemented
16#38023C212yesmaximal, complemented
17#36426C212yesmaximal, complemented
18#36316C212yesmaximal, complemented
19#35377C211yesmaximal, characteristic, complemented
20#35349C211yesmaximal, characteristic, complemented
21#35348C211yesmaximal, characteristic, complemented
22#35346C211yesmaximal, characteristic, complemented
23#35097C211yesmaximal, characteristic, complemented
24#34983C211yesmaximal, characteristic, complemented
25#34981C211yesmaximal, characteristic, complemented
26C2×#2411C211yesmaximal, characteristic, complemented
27C2×#2404C211yesmaximal, characteristic, complemented
28#34256C211yesmaximal, characteristic, complemented
29#34199C211yesmaximal, characteristic, complemented
30#34198C211yesmaximal, characteristic, complemented
31#34044C211yesmaximal, characteristic, complemented
32C22×H(5,𝔽2)C2211yescharacteristic
33C23×#41C2211yescharacteristic
34#3485—216no—
35C2×#551—216no—
36C2×#551C2214yescomplemented
37C2×#551C2214yescomplemented
38C2×#551C2214yescomplemented
39C2×#551C2214yescomplemented
40C2×#547C2212yescomplemented
41C2×#547C2212yescomplemented
42C2×#547C2212yescomplemented
43C2×#547C2212yescomplemented
44C2×#546C2212yescomplemented
45C2×#546C2212yescomplemented
46C2×#546C2212yescomplemented
47C2×#546C2212yescomplemented
48C2×#536C2212yescomplemented
49C2×#534C2211yescharacteristic
50C2×#534C2211yescharacteristic
51C2×#534C2212yescomplemented
52C22×#126C2211yescharacteristic, complemented
53C22×#126C2211yescharacteristic, complemented
54C22×#124C2211yescharacteristic, complemented
55C2×#525C2212yescomplemented
56C22×#123C2211yescharacteristic
57C22×#123C2211yescharacteristic
58C22×#123C2211yescharacteristic, complemented
59C22×#123C2211yescharacteristic, complemented
60C22×#123C2212yescomplemented
61C22×C22⋊Q8C2211yescharacteristic, complemented
62C22×C22⋊Q8C2211yescharacteristic, complemented
63C22×#120C2211yescharacteristic
64C22×#120C2211yescharacteristic
65C22×#120C2211yescharacteristic
66C22×#120C2211yescharacteristic, complemented
67C2×#518C2211yescharacteristic
68C2×#518C2211yescharacteristic
69C22×C4×D4C2211yescharacteristic
70C22×C4×D4C2211yescharacteristic, complemented
71C22×#117C2211yescharacteristic, complemented
72C22×#117C2211yescharacteristic, complemented
73C22×#117C2211yescharacteristic, complemented
74C23×C22⋊C4C2211yescharacteristic, complemented
75C23×C22⋊C4C2211yescharacteristic, complemented
76#2853C2212yescomplemented
77#2853C2212yescomplemented
78#2853C2212yescomplemented
79#2849C2212yescomplemented
80#2847C2212yescomplemented
81#2847C2212yescomplemented
82#2716C2214yescomplemented
83#2716C2214yescomplemented
84#2714C2214yescomplemented
85#2714C2214yescomplemented
86#2712C2214yescomplemented
87#2710C2214yescomplemented
88#2706C2214yescomplemented
89#2705C2214yescomplemented
90#2705C2214yescomplemented
91#2703C2214yescomplemented
92#2703C2214yescomplemented
93#2702C2214yescomplemented
94#2702C2214yescomplemented
95#2700C2214yescomplemented
96#2696C2214yescomplemented
97#2696C2214yescomplemented
98#2693C2214yescomplemented
99#2692C2214yescomplemented
100#2692C2214yescomplemented
101#2687C2214yescomplemented
102#2678C2214yescomplemented
103#2676C2214yescomplemented
104#2671C2214yescomplemented
105#2670C2214yescomplemented
106#2623C2212yescomplemented
107#2623C2212yescomplemented
108#2623C2212yescomplemented
109#2622C2212yescomplemented
110#2617C2212yescomplemented
111#2617C2212yescomplemented
112#2591C2212yescomplemented
113#2591C2212yescomplemented
114#2579C2212yescomplemented
115#2579C2212yescomplemented
116#2560C2214yescomplemented
117#2560C2214yescomplemented
118#2557C2214yescomplemented
119#2557C2214yescomplemented
120#2555C2214yescomplemented
121#2554C2214yescomplemented
122#2554C2214yescomplemented
123#2540C2214yescomplemented
124#2539C2214yescomplemented
125#2534C2214yescomplemented
126#2504C2212yescomplemented
127#2498C2214yescomplemented
128#2498C2214yescomplemented
129#2492C2214yescomplemented
130#2488C2214yescomplemented
131#2488C2214yescomplemented
132#2488C2214yescomplemented
133#2487C2212yescomplemented
134#2484C2212yescomplemented
135#2484C2212yescomplemented
136#2482C2212yescomplemented
137#2482C2212yescomplemented
138#2481C2214yescomplemented
139#2481C2214yescomplemented
140#2477C2214yescomplemented
141#2477C2214yescomplemented
142#2472C2214yescomplemented
143#2472C2214yescomplemented
144#2472C2214yescomplemented
145#2471C2214yescomplemented
146#2471C2214yescomplemented
147#2467C2214yescomplemented
148#2467C2214yescomplemented
149#2464C2214yescomplemented
150#2464C2214yescomplemented
151#2459C2214yescomplemented
152#2459C2214yescomplemented
153#2457C2214yescomplemented
154#2457C2214yescomplemented
155#2456C2214yescomplemented
156#2450C2214yescomplemented
157#2450C2214yescomplemented
158#2449C2214yescomplemented
159#2444C2214yescomplemented
160#2443C2214yescomplemented
161#2439C2214yescomplemented
162#2438C2214yescomplemented
163#2437C2214yescomplemented
164#2436C2212yescomplemented
165#2427C2214yescomplemented
166#2425C2214yescomplemented
167#2424C2214yescomplemented
168#2424C2214yescomplemented
169#2424C2214yescomplemented
170#2419C2214yescomplemented
171#2418C2214yescomplemented
172#2418C2214yescomplemented
173#2417C2214yescomplemented
174#2414C2214yescomplemented
175#2412C2214yescomplemented
176#2412C2214yescomplemented
177#2412C2214yescomplemented
178#2411C2212yescomplemented
179#2411C2212yescomplemented
180#2411C2212yescomplemented
181#2411C2214yescomplemented
182#2411C2212yescomplemented
183#2411C2212yescomplemented
184#2411C2214yescomplemented
185#2411C2212yescomplemented
186#2410C2212yescomplemented
187#2410C2212yescomplemented
188#2410C2214yescomplemented
189#2410C2214yescomplemented
190#2409C2212yescomplemented
191#2408C2214yescomplemented
192#2404C2214yes—
193#2404C2212yescomplemented
194#2404C2212yescomplemented
195#2404C2214yescomplemented
196#2404C2212yescomplemented
197#2404C2212yescomplemented
198#2404C2212yescomplemented
199#2404C2214yescomplemented
200#2404C2214yescomplemented
201#2404C2212yescomplemented
202#2403C2214yes—
203#2403C2212yescomplemented
204#2403C2214yescomplemented
205#2403C2212yescomplemented
206C2×#396C2212yescomplemented
207C2×#394C2212yescomplemented
208C2×#393C2212yescomplemented
209C2×#392C2212yescomplemented
210#2364C2214yescomplemented
211#2363C2214yescomplemented
212#2359C2214yescomplemented
213#2359C2214yescomplemented
214#2358C2214yescomplemented
215#2358C2214yescomplemented
216#2358C2214yescomplemented
217#2352C2214yescomplemented
218#2344C2212yescomplemented
219#2344C2212yescomplemented
220#2342C2214yescomplemented
221#2342C2212yescomplemented
222#2342C2212yescomplemented
223#2339C2214yescomplemented
224#2339C2214yescomplemented
225D4×C22⋊C4C2214yescomplemented
226D4×C22⋊C4C2214yescomplemented
227D4×C22⋊C4C2214yescomplemented
228#2322C2214yescomplemented
229#2321C2212yescomplemented
230#2321C2212yescomplemented
231#2315C2211yescharacteristic, complemented
232#2315C2211yescharacteristic, complemented
233#2315C2211yescharacteristic, complemented
234#2311C2212yescomplemented
235#2311C2212yescomplemented
236#2311C2212yescomplemented
237#2311C2214yescomplemented
238#2310C2212yescomplemented
239#2309C2212yescomplemented
240#2308C2211yescharacteristic
241#2308C2211yescharacteristic
242#2308C2211yescharacteristic
243#2308C2211yescharacteristic
244#2308C2211yescharacteristic
245#2308C2211yescharacteristic, complemented
246#2308C2211yescharacteristic, complemented
247#2308C2212yescomplemented
248C4×#123C2214yescomplemented
249C4×#120C2212yescomplemented
250C4×#120C2212yescomplemented
251#2297C2212yescomplemented
252#2297C2212yescomplemented
253#2297C2212yescomplemented
254#2297C2214yescomplemented
255C2×#390C2212yescomplemented
256C2×#388C2212yescomplemented
257C2×#386C2211yescharacteristic
258C2×#386C2211yescharacteristic
259C2×#386C2211yescharacteristic, complemented
260C2×#386C2212yescomplemented
261C2×#386C2212yescomplemented
262C2×#386C2212yescomplemented
263C2×#385C2211yescharacteristic, complemented
264#2280C2212yescomplemented
265#2280C2212yescomplemented
266C2×#381C2211yescharacteristic, complemented
267C2×#379C2211yescharacteristic, complemented
268#2273C2211yescharacteristic, complemented
269C26C2311yescharacteristic
270C2×H(5,𝔽2)—28no—
271C2×H(5,𝔽2)—28no—
272C2×H(5,𝔽2)—44no—
273C22×#41—28no—
274C22×#41—28no—
275C22×#41—44no—
276C22×#41C2312yes—
277C22×#41C2312yes—
278C22×#41C2312yes—
279C22×#41C2312yes—
280C22×#41C2312yes—
281C22×#41C2312yes—
282C22×#41C2312yes—
283C23×Q8C2311yescharacteristic
284C23×Q8C2311yescharacteristic
285C23×D4C2311yescharacteristic
286C23×D4C2311yescharacteristic
287C23×D4C2312yes—
288C23×D4C2311yescharacteristic
289C23×D4C2312yes—
290C23×D4C2312yes—
291C23×D4C2311yescharacteristic
292C23×D4C2311yescharacteristic
293C23×D4C2311yescharacteristic
294C23×D4C2312yes—
295C23×D4C2311yescharacteristic
296C23×D4C2312yes—
297C23×D4C2312yes—
298C24×C4C2311yescharacteristic
299C24×C4C2311yescharacteristic
300C24×C4C2311yescharacteristic
301C24×C4C2311yescharacteristic
302C24×C4C2311yescharacteristic
303C24×C4C2311yescharacteristic
304C24×C4C2311yescharacteristic
305#551—232no—
306#551—232no—
307#551—232no—
308#551—232no—
309#547—216no—
310#547—216no—
311#547—216no—
312#547—216no—
313#546—216no—
314#546—216no—
315#546—216no—
316#546—216no—
317#536—216no—
318#534—28no—
319#534—216no—
320#534—28no—
321C2×C4⋊Q8C2312yescomplemented
322C2×C4⋊Q8C2312yescomplemented
323C2×#126—28no—
324C2×#126—28no—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#126C2314yes—
329C2×#124—28no—
330C2×#124C2314yes—
331C2×#124C2314yes—
332C2×#124C2312yescomplemented
333C2×#124C2312yescomplemented
334C2×#124C2314yescomplemented
335#525—216no—
336C2×#123—28no—
337C2×#123—216no—
338C2×#123—28no—
339C2×#123—28no—
340C2×#123D4116yescomplemented
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2312yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2312yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2312yescomplemented
358C2×#123C2312yescomplemented
359C2×#123C2312yescomplemented
360C2×#123C2312yescomplemented
361C2×#123C2312yescomplemented
362C2×#123C2312yescomplemented
363C2×#123C2314yescomplemented
364C2×C22⋊Q8—28no—
365C2×C22⋊Q8—28no—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×C22⋊Q8C2312yescomplemented
371C2×C22⋊Q8C2312yescomplemented
372C2×C22⋊Q8C2312yescomplemented
373C2×C22⋊Q8C2312yescomplemented
374C2×C22⋊Q8C2312yescomplemented
375C2×C22⋊Q8C2312yescomplemented
376C2×C22⋊Q8C2314yescomplemented
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2312yescomplemented
386C2×#121C2312yescomplemented
387C2×#121C2312yescomplemented
388C2×#121C2312yescomplemented
389C2×#121C2312yescomplemented
390C2×#121C2312yescomplemented
391C2×#120—28no—
392C2×#120—28no—
393C2×#120—44no—
394C2×#120—44no—
395C2×#120C2312yes—
396C2×#120C2312yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×#120C2312yes—
400C2×#120C2314yes—
401C2×#120C2312yes—
402C2×#120C2312yes—
403C2×#120C2312yes—
404C2×#120C2312yes—
405C2×#120C2312yes—
406C2×#120C2314yes—
407C2×#120C2312yes—
408C2×#120C2312yes—
409C2×#120C2314yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412C2×#120C2312yescomplemented
413C2×#120C2312yescomplemented
414#518—28no—
415#518—44no—
416C2×C4×D4—28no—
417C2×C4×D4—28no—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2314yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2314yes—
426C2×C4×D4C2314yes—
427C2×C4×D4C2314yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2312yescomplemented
431C2×C4×D4C2312yescomplemented
432C2×C4×D4C2312yescomplemented
433C2×C4×D4C2312yescomplemented
434C2×#117—28no—
435C2×#117—28no—
436C2×#117—44no—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2314yes—
441C2×#117C2314yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2311yescharacteristic
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2312yes—
458C22×C4⋊C4C2312yes—
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2312yescomplemented
462C22×C4⋊C4C2312yescomplemented
463C22×C22⋊C4—28no—
464C22×C22⋊C4—28no—
465C22×C22⋊C4C2311yescharacteristic
466C22×C22⋊C4C2311yescharacteristic
467C22×C22⋊C4C2311yescharacteristic
468C22×C22⋊C4C2311yescharacteristic
469C22×C22⋊C4C2311yescharacteristic
470C22×C22⋊C4C2311yescharacteristic
471C22×C22⋊C4C2311yescharacteristic
472C22×C22⋊C4C2311yescharacteristic
473C22×C22⋊C4C2311yescharacteristic
474C22×C22⋊C4C2311yescharacteristic
475C22×C22⋊C4C2312yes—
476C22×C22⋊C4C2314yes—
477C22×C22⋊C4C2312yes—
478C22×C22⋊C4C2314yes—
479C22×C22⋊C4C2312yes—
480C22×C22⋊C4C2311yescharacteristic
481C22×C22⋊C4C2312yes—
482C22×C22⋊C4C2311yescharacteristic
483C22×C22⋊C4C2311yescharacteristic
484C22×C22⋊C4C2311yescharacteristic
485C22×C22⋊C4C2311yescharacteristic
486C22×C22⋊C4C2312yes—
487C22×C22⋊C4C2312yes—
488C22×C22⋊C4C2311yescharacteristic
489C22×C22⋊C4C2311yescharacteristic
490C22×C22⋊C4C2311yescharacteristic
491C22×C22⋊C4C2312yes—
492C22×C22⋊C4C2312yes—
493C22×C22⋊C4C2312yes—
494C22×C22⋊C4C2312yes—
495C22×C22⋊C4C2312yes—
496C22×C22⋊C4C2312yes—
497C22×C22⋊C4C2312yes—
498C22×C22⋊C4C2312yes—
499C22×C22⋊C4C2311yescharacteristic
500C22×C22⋊C4C2311yescharacteristic
501C22×C22⋊C4C2311yescharacteristic
502C22×C22⋊C4C2312yescomplemented
503C22×C22⋊C4C2312yescomplemented
504C22×C22⋊C4C2314yescomplemented
505C22×C42C2311yescharacteristic
506C22×C42C2311yescharacteristic
507C22×C42C2311yescharacteristic
508C22×C42C2312yes—
509#400C2314yescomplemented
510#400C2314yescomplemented
511#400C2314yescomplemented
512#400C2314yescomplemented
513#400C2314yescomplemented
514#400C2314yescomplemented
515#399C2314yescomplemented
516#399C2314yescomplemented
517#399C2314yescomplemented
518#399C2314yescomplemented
519#398C2314yescomplemented
520#398C2314yescomplemented
521#398C2314yescomplemented
522#398C2314yescomplemented
523#398C2314yescomplemented
524#397C2314yes—
525#397C2314yes—
526#397C2314yescomplemented
527#397C2314yescomplemented
528#397C2314yescomplemented
529#397C2314yescomplemented
530#397C2314yescomplemented
531#397C2314yescomplemented
532#397C2314yescomplemented
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yescomplemented
540#396C2314yescomplemented
541#395C2314yescomplemented
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yescomplemented
555#394C2314yescomplemented
556#394C2314yescomplemented
557#394C2314yescomplemented
558#393C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2314yes—
564#393C2314yescomplemented
565#393C2314yescomplemented
566#393C2314yescomplemented
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#391C2314yescomplemented
582#391C2314yescomplemented
583#391C2314yescomplemented
584#391C2314yescomplemented
585#391C2314yescomplemented
586#391C2314yescomplemented
587#391C2314yescomplemented
588#391C2314yescomplemented
589#390C2314yes—
590#390C2314yes—
591#390C2314yes—
592#390C2314yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2314yes—
597#390C2314yescomplemented
598#390C2314yescomplemented
599#390C2314yescomplemented
600#390C2314yescomplemented
601#390C2314yescomplemented
602#390C2314yescomplemented
603#390C2314yescomplemented
604#389C2314yescomplemented
605#389C2314yescomplemented
606#389C2314yescomplemented
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yescomplemented
618#388C2314yescomplemented
619#388C2314yescomplemented
620#388C2314yescomplemented
621#388C2314yescomplemented
622#388C2314yescomplemented
623#388C2314yescomplemented
624#388C2314yescomplemented
625#388C2314yescomplemented
626#388C2314yescomplemented
627#388C2314yescomplemented
628#388C2314yescomplemented
629#388C2314yescomplemented
630#388C2314yescomplemented
631#387C2314yescomplemented
632#387C2314yescomplemented
633#387C2314yescomplemented
634#387C2314yescomplemented
635#387C2314yescomplemented
636#387C2314yescomplemented
637#387C2314yescomplemented
638#387C2314yescomplemented
639#387C2314yescomplemented
640#387C2314yescomplemented
641#387C2314yescomplemented
642#387C2314yescomplemented
643#386C2314yes—
644#386C2314yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2312yes—
649#386C2312yes—
650#386C2314yes—
651#386C2312yes—
652#386C2314yes—
653#386C2314yes—
654#386C2312yes—
655#386C2314yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yescomplemented
697#386C2314yescomplemented
698#386C2314yescomplemented
699#386C2314yescomplemented
700#386C2314yescomplemented
701#385C2312yes—
702#385C2312yes—
703#385C2314yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2312yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#385C2312yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yescomplemented
717#385C2314yescomplemented
718#385C2314yescomplemented
719#385C2314yescomplemented
720#385C2314yescomplemented
721#382C2314yescomplemented
722#381C2312yes—
723#381C2312yes—
724#381C2312yes—
725#381C2312yes—
726#381C2312yes—
727#381C2312yes—
728#381C2312yes—
729#381C2312yes—
730#381C2312yes—
731#381C2312yes—
732#381C2312yes—
733#381C2314yescomplemented
734#381C2314yescomplemented
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yescomplemented
742#380C2314yescomplemented
743#380C2314yescomplemented
744#380C2314yescomplemented
745#380C2314yescomplemented
746#380C2314yescomplemented
747#380C2314yescomplemented
748#379C2312yes—
749#379C2312yes—
750#379C2312yes—
751#379C2312yes—
752#379C2312yes—
753#379C2312yes—
754#379C2312yes—
755#379C2312yes—
756#379C2314yes—
757#379C2312yes—
758#379C2314yescomplemented
759C4×C4⋊C4C2314yescomplemented
760C4×C4⋊C4C2314yescomplemented
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2314yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2314yescomplemented
768C4×C22⋊C4C2314yescomplemented
769C4×C22⋊C4C2314yescomplemented
770C4×C22⋊C4C2314yescomplemented
771C4×C22⋊C4C2314yescomplemented
772C4×C22⋊C4C2314yescomplemented
773C4×C22⋊C4C2314yescomplemented
774C4×C22⋊C4C2314yescomplemented
775C2×#95C2312yes—
776C2×#95C2312yes—
777C2×#95C2312yes—
778C2×#95C2312yes—
779C2×#95C2312yes—
780C2×#95C2312yes—
781C2×#95C2314yescomplemented
782C25—24no—
783C25—24no—
784C25—24no—
785C25—44no—
786C25—82no—
787C25C2411yescharacteristic
788C25C2412yes—
789C25C2412yes—
790C25C2411yescharacteristic
791C25C2411yescharacteristic
792C25C2411yescharacteristic
793C25C2412yes—
794C25C2411yescharacteristic
795C25C2411yescharacteristic
796C25C2411yescharacteristic
797H(5,𝔽2)—464no—
798C2×#41—28no—
799C2×#41—28no—
800C2×#41—28no—
801C2×#41—28no—
802C2×#41—28no—
803C2×#41—28no—
804C2×#41—28no—
805C2×#41—28no—
806C2×#41—28no—
807C2×#41—28no—
808C2×#41—28no—
809C2×#41—28no—
810C2×#41—28no—
811C2×#41—28no—
812C2×#41—44no—
813C2×#41—44no—
814C2×#41—44no—
815C2×#41—44no—
816C2×#41—44no—
817C2×#41—44no—
818C2×#41—44no—
819C2×#41—464no—
820C22×Q8—24no—
821C22×Q8—24no—
822C22×Q8—24no—
823C22×Q8—42no—
824C22×Q8—82no—
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×D4—24no—
830C22×D4—24no—
831C22×D4—24no—
832C22×D4—24no—
833C22×D4—24no—
834C22×D4—24no—
835C22×D4—24no—
836C22×D4—28no—
837C22×D4—24no—
838C22×D4—24no—
839C22×D4—28no—
840C22×D4—24no—
841C22×D4—24no—
842C22×D4—24no—
843C22×D4—24no—
844C22×D4—28no—
845C22×D4—28no—
846C22×D4—28no—
847C22×D4—28no—
848C22×D4—28no—
849C22×D4—24no—
850C22×D4—42no—
851C22×D4—44no—
852C22×D4—44no—
853C22×D4—44no—
854C22×D4—44no—
855C22×D4—44no—
856C22×D4—44no—
857C22×D4—44no—
858C22×D4—44no—
859C22×D4—44no—
860C22×D4—82no—
861C22×D4—82no—
862C22×D4—82no—
863C22×D4—82no—
864C22×D4C2×D418yes—
865C22×D4#4118yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C23×C4—24no—
892C23×C4—24no—
893C23×C4—24no—
894C23×C4—24no—
895C23×C4—24no—
896C23×C4—24no—
897C23×C4—24no—
898C23×C4—24no—
899C23×C4—24no—
900C23×C4—24no—
901C23×C4—44no—
902C23×C4—42no—
903C23×C4—42no—
904C23×C4—82no—
905C23×C4—82no—
906C23×C4—82no—
907C23×C4C2×D418yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2414yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2411yescharacteristic
931C23×C4C2412yes—
932C23×C4C2411yescharacteristic
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2411yescharacteristic
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2412yes—
940C23×C4C2414yes—
941C23×C4C2412yes—
942C23×C4C2412yes—
943C23×C4C2414yes—
944C23×C4C2414yes—
945C23×C4C2411yescharacteristic
946C23×C4C2411yescharacteristic
947C4⋊Q8—28no—
948C4⋊Q8—28no—
949#126—216no—
950#126—216no—
951#126—216no—
952#126—216no—
953#124—216no—
954#124—216no—
955#124—28no—
956#124—28no—
957#124—84no—
958#123—28no—
959#123—28no—
960#123—28no—
961#123—28no—
962#123—28no—
963#123—28no—
964#123—28no—
965#123—28no—
966#123—28no—
967#123—28no—
968#123—28no—
969#123—216no—
970#123—216no—
971#123—216no—
972#123—216no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—84no—
977#123C2×D4116yescomplemented
978#123C2×D4116yescomplemented
979#123C2×D4116yescomplemented
980#123C2×D4116yescomplemented
981C22⋊Q8—216no—
982C22⋊Q8—216no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—216no—
988C22⋊Q8—216no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—84no—
992#121—28no—
993#121—28no—
994#121—28no—
995#121—28no—
996#121—28no—
997#121—28no—
998#121—28no—
999#121—28no—
1000#121—28no—
1001#121—28no—
1002#121—48no—
1003#121—48no—
1004#121—84no—
1005#121—84no—
1006#120—28no—
1007#120—216no—
1008#120—216no—
1009#120—28no—
1010#120—28no—
1011#120—216no—
1012#120—28no—
1013#120—28no—
1014#120—28no—
1015#120—28no—
1016#120—28no—
1017#120—44no—
1018#120—44no—
1019#120—44no—
1020#120—48no—
1021#120—44no—
1022#120—48no—
1023#120—48no—
1024#120—84no—
1025C4×D4—216no—
1026C4×D4—216no—
1027C4×D4—28no—
1028C4×D4—28no—
1029C4×D4—28no—
1030C4×D4—28no—
1031C4×D4—216no—
1032C4×D4—216no—
1033C4×D4—28no—
1034C4×D4—28no—
1035C4×D4—28no—
1036C4×D4—28no—
1037C4×D4—48no—
1038C4×D4—48no—
1039C4×D4—48no—
1040C4×D4—84no—
1041#117—28no—
1042#117—28no—
1043#117—28no—
1044#117—28no—
1045#117—216no—
1046#117—216no—
1047#117—28no—
1048#117—44no—
1049#117—44no—
1050#117—44no—
1051#117—44no—
1052#117—44no—
1053C2×C4⋊C4—24no—
1054C2×C4⋊C4—24no—
1055C2×C4⋊C4—24no—
1056C2×C4⋊C4—24no—
1057C2×C4⋊C4—24no—
1058C2×C4⋊C4—24no—
1059C2×C4⋊C4—24no—
1060C2×C4⋊C4—24no—
1061C2×C4⋊C4—28no—
1062C2×C4⋊C4—28no—
1063C2×C4⋊C4—44no—
1064C2×C4⋊C4—82no—
1065C2×C4⋊C4C2×D418yescomplemented
1066C2×C4⋊C4C2×D418yescomplemented
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C22⋊C4—24no—
1101C2×C22⋊C4—24no—
1102C2×C22⋊C4—24no—
1103C2×C22⋊C4—24no—
1104C2×C22⋊C4—24no—
1105C2×C22⋊C4—24no—
1106C2×C22⋊C4—24no—
1107C2×C22⋊C4—24no—
1108C2×C22⋊C4—24no—
1109C2×C22⋊C4—24no—
1110C2×C22⋊C4—24no—
1111C2×C22⋊C4—24no—
1112C2×C22⋊C4—24no—
1113C2×C22⋊C4—24no—
1114C2×C22⋊C4—28no—
1115C2×C22⋊C4—28no—
1116C2×C22⋊C4—28no—
1117C2×C22⋊C4—28no—
1118C2×C22⋊C4—24no—
1119C2×C22⋊C4—24no—
1120C2×C22⋊C4—24no—
1121C2×C22⋊C4—24no—
1122C2×C22⋊C4—28no—
1123C2×C22⋊C4—216no—
1124C2×C22⋊C4—216no—
1125C2×C22⋊C4—28no—
1126C2×C22⋊C4—28no—
1127C2×C22⋊C4—28no—
1128C2×C22⋊C4—44no—
1129C2×C22⋊C4—44no—
1130C2×C22⋊C4—44no—
1131C2×C22⋊C4—44no—
1132C2×C22⋊C4—82no—
1133C2×C22⋊C4—82no—
1134C2×C22⋊C4—82no—
1135C2×C22⋊C4—82no—
1136C2×C22⋊C4—84no—
1137C2×C22⋊C4C2×D418yes—
1138C2×C22⋊C4C2×D418yescomplemented
1139C2×C22⋊C4C2×D418yescomplemented
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C42—24no—
1219C2×C42—24no—
1220C2×C42—24no—
1221C2×C42—44no—
1222C2×C42C2412yes—
1223C2×C42C2412yes—
1224C2×C42C2412yes—
1225C2×C42C2414yes—
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2412yes—
1229C2×C42C2414yes—
1230C2×C42C2414yes—
1231C2×C42C2414yes—
1232C2×C42C2414yes—
1233C2×C42C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268C24—22no—
1269C24—24no—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—22no—
1274C24—22no—
1275C24—22no—
1276C24—22no—
1277C24—22no—
1278C24—24no—
1279C24—24no—
1280C24—24no—
1281C24—24no—
1282C24—24no—
1283C24—24no—
1284C24—24no—
1285C24—24no—
1286C24—24no—
1287C24—22no—
1288C24—22no—
1289C24—22no—
1290C24—22no—
1291C24—24no—
1292C24—22no—
1293C24—22no—
1294C24—22no—
1295C24—42no—
1296C24—42no—
1297C24—42no—
1298C24—42no—
1299C24—42no—
1300C24—42no—
1301C24—42no—
1302C24—42no—
1303C24—42no—
1304C24—42no—
1305C24—42no—
1306C24—42no—
1307C24—42no—
1308C24—42no—
1309C24—42no—
1310C24—42no—
1311C24—42no—
1312C24—42no—
1313C24—42no—
1314C24—42no—
1315C24—44no—
1316C24—44no—
1317C24—416no—
1318C24—416no—
1319C24—816no—
1320C24—816no—
1321C24—88no—
1322C24C22×D414yes—
1323C24C22×D414yes—
1324C24C2×#4114yes—
1325C24C2×#4114yes—
1326C24H(5,𝔽2)14yes—
1327C24C2512yes—
1328C24C2512yes—
1329C24C2512yes—
1330C24C2512yes—
1331C24C2512yes—
1332C24C2512yes—
1333C24C2511yescharacteristic
1334C24C2511yescharacteristic
1335C24C2511yescharacteristic
1336#41—432no—
1337#41—432no—
1338#41—432no—
1339#41—432no—
1340#41—432no—
1341#41—432no—
1342#41—432no—
1343C2×Q8—24no—
1344C2×Q8—24no—
1345C2×Q8—24no—
1346C2×Q8—28no—
1347C2×Q8—24no—
1348C2×Q8—24no—
1349C2×Q8—24no—
1350C2×Q8—42no—
1351C2×Q8—42no—
1352C2×Q8—42no—
1353C2×Q8—44no—
1354C2×Q8—44no—
1355C2×Q8—416no—
1356C2×Q8—88no—
1357C2×D4—232no—
1358C2×D4—232no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—24no—
1366C2×D4—24no—
1367C2×D4—28no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—24no—
1374C2×D4—28no—
1375C2×D4—24no—
1376C2×D4—24no—
1377C2×D4—24no—
1378C2×D4—24no—
1379C2×D4—24no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—28no—
1388C2×D4—28no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—28no—
1392C2×D4—28no—
1393C2×D4—28no—
1394C2×D4—28no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—44no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—44no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—416no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—44no—
1425C2×D4—44no—
1426C2×D4—44no—
1427C2×D4—432no—
1428C2×D4—432no—
1429C2×D4—432no—
1430C2×D4—416no—
1431C2×D4—416no—
1432C2×D4—416no—
1433C2×D4—88no—
1434C2×D4—816no—
1435C2×D4—816no—
1436C2×D4—816no—
1437C2×D4C22×D418yes—
1438C2×D4C22×D418yes—
1439C2×D4C2×#4118yes—
1440C2×D4C2×#4118yes—
1441C22×C4—232no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—22no—
1463C22×C4—22no—
1464C22×C4—22no—
1465C22×C4—24no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—24no—
1473C22×C4—22no—
1474C22×C4—22no—
1475C22×C4—28no—
1476C22×C4—22no—
1477C22×C4—22no—
1478C22×C4—24no—
1479C22×C4—24no—
1480C22×C4—28no—
1481C22×C4—24no—
1482C22×C4—24no—
1483C22×C4—24no—
1484C22×C4—28no—
1485C22×C4—24no—
1486C22×C4—24no—
1487C22×C4—24no—
1488C22×C4—24no—
1489C22×C4—24no—
1490C22×C4—24no—
1491C22×C4—24no—
1492C22×C4—24no—
1493C22×C4—24no—
1494C22×C4—24no—
1495C22×C4—24no—
1496C22×C4—24no—
1497C22×C4—28no—
1498C22×C4—42no—
1499C22×C4—42no—
1500C22×C4—44no—
1501C22×C4—42no—
1502C22×C4—42no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—42no—
1507C22×C4—42no—
1508C22×C4—42no—
1509C22×C4—42no—
1510C22×C4—42no—
1511C22×C4—42no—
1512C22×C4—42no—
1513C22×C4—42no—
1514C22×C4—42no—
1515C22×C4—42no—
1516C22×C4—416no—
1517C22×C4—42no—
1518C22×C4—42no—
1519C22×C4—42no—
1520C22×C4—42no—
1521C22×C4—42no—
1522C22×C4—44no—
1523C22×C4—42no—
1524C22×C4—42no—
1525C22×C4—42no—
1526C22×C4—42no—
1527C22×C4—42no—
1528C22×C4—44no—
1529C22×C4—44no—
1530C22×C4—44no—
1531C22×C4—44no—
1532C22×C4—44no—
1533C22×C4—42no—
1534C22×C4—42no—
1535C22×C4—44no—
1536C22×C4—44no—
1537C22×C4—44no—
1538C22×C4—416no—
1539C22×C4—416no—
1540C22×C4—88no—
1541C22×C4—88no—
1542C22×C4—88no—
1543C22×C4C22×D414yes—
1544C22×C4C22×D414yes—
1545C22×C4C22×D414yes—
1546C22×C4C22×D414yes—
1547C22×C4C22×D414yes—
1548C22×C4C22×D414yes—
1549C22×C4C22×D414yes—
1550C22×C4C22×D414yes—
1551C22×C4C22×D414yes—
1552C22×C4C2×#4114yes—
1553C22×C4C2514yes—
1554C22×C4C2514yes—
1555C22×C4C2512yes—
1556C22×C4C2512yes—
1557C22×C4C2514yes—
1558C22×C4C2514yes—
1559C22×C4C2512yes—
1560C22×C4C2512yes—
1561C22×C4C2512yes—
1562C22×C4C2512yes—
1563C22×C4C2512yes—
1564C22×C4C2512yes—
1565C22×C4C2512yes—
1566C22×C4C2512yes—
1567C22×C4C2511yescharacteristic
1568C22×C4C2511yescharacteristic
1569C22×C4C2511yescharacteristic
1570C22×C4C2512yes—
1571C22×C4C2512yes—
1572C22×C4C2512yes—
1573C22×C4C2511yescharacteristic
1574C22×C4C2512yes—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—28no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—24no—
1582C4⋊C4—28no—
1583C4⋊C4—28no—
1584C4⋊C4—24no—
1585C4⋊C4—24no—
1586C4⋊C4—24no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—28no—
1591C4⋊C4—24no—
1592C4⋊C4—24no—
1593C4⋊C4—44no—
1594C4⋊C4—44no—
1595C4⋊C4—44no—
1596C4⋊C4—44no—
1597C4⋊C4—44no—
1598C4⋊C4—44no—
1599C4⋊C4—44no—
1600C4⋊C4—44no—
1601C4⋊C4—44no—
1602C4⋊C4—44no—
1603C4⋊C4—44no—
1604C4⋊C4C22×D418yes—
1605C4⋊C4C22×D418yes—
1606C4⋊C4C22×D418yes—
1607C4⋊C4C22×D418yes—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—28no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—28no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—28no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—28no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—28no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—28no—
1642C22⋊C4—24no—
1643C22⋊C4—24no—
1644C22⋊C4—24no—
1645C22⋊C4—24no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—24no—
1649C22⋊C4—24no—
1650C22⋊C4—28no—
1651C22⋊C4—28no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
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⋊C4C22×D418yes—
1681C22⋊C4C22×D418yes—
1682C22⋊C4C22×D418yes—
1683C22⋊C4C22×D418yes—
1684C22⋊C4C22×D418yes—
1685C22⋊C4C22×D418yes—
1686C42—24no—
1687C42—24no—
1688C42—28no—
1689C42—24no—
1690C42—24no—
1691C42—24no—
1692C42—24no—
1693C42—44no—
1694C42—44no—
1695C42—44no—
1696C42—44no—
1697C42—44no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—22no—
1704C23—28no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—24no—
1713C23—24no—
1714C23—22no—
1715C23—24no—
1716C23—22no—
1717C23—24no—
1718C23—22no—
1719C23—28no—
1720C23—28no—
1721C23—22no—
1722C23—22no—
1723C23—22no—
1724C23—22no—
1725C23—22no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—24no—
1731C23—24no—
1732C23—22no—
1733C23—22no—
1734C23—24no—
1735C23—24no—
1736C23—22no—
1737C23—22no—
1738C23—44no—
1739C23—44no—
1740C23—48no—
1741C23—48no—
1742C23—44no—
1743C23—44no—
1744C23—48no—
1745C23—48no—
1746C23—48no—
1747C23—48no—
1748C23—48no—
1749C23—48no—
1750C23—48no—
1751C23—48no—
1752C23—48no—
1753C23—48no—
1754C23—44no—
1755C23—48no—
1756C23—44no—
1757C23—44no—
1758C23—44no—
1759C23—44no—
1760C23—48no—
1761C23—48no—
1762C23—44no—
1763C23—44no—
1764C23—84no—
1765C23—84no—
1766C23—82no—
1767C23—82no—
1768C23—82no—
1769C23—82no—
1770C23—84no—
1771C23—84no—
1772C23—84no—
1773C23—84no—
1774C23—84no—
1775C23—84no—
1776C23—84no—
1777C23—84no—
1778C23—84no—
1779C23—84no—
1780C23—84no—
1781C23—84no—
1782C23—82no—
1783C23—82no—
1784C23—88no—
1785C23—84no—
1786C23—84no—
1787C23—864no—
1788C23—164no—
1789C23#546116yes—
1790C23C23×D414yes—
1791C23C23×D412yes—
1792C23C23×D412yes—
1793C23C23×D412yes—
1794C23C22×#4114yes—
1795C23C22×#4112yes—
1796C23C22×#4112yes—
1797C23C22×#4112yes—
1798C23C2×H(5,𝔽2)12yes—
1799C23C2×H(5,𝔽2)12yes—
1800C23C2×H(5,𝔽2)12yes—
1801C23#58514yes—
1802C23C2611yescharacteristic
1803Q8—48no—
1804Q8—48no—
1805Q8—48no—
1806Q8—88no—
1807D4—216no—
1808D4—216no—
1809D4—216no—
1810D4—216no—
1811D4—48no—
1812D4—48no—
1813D4—48no—
1814D4—48no—
1815D4—416no—
1816D4—48no—
1817D4—416no—
1818D4—48no—
1819D4—48no—
1820D4—48no—
1821D4—48no—
1822D4—84no—
1823D4—84no—
1824D4—84no—
1825D4—84no—
1826D4—88no—
1827D4—88no—
1828D4—88no—
1829D4—88no—
1830D4—88no—
1831D4—88no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—22no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—22no—
1841C2×C4—21no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—24no—
1845C2×C4—24no—
1846C2×C4—28no—
1847C2×C4—28no—
1848C2×C4—28no—
1849C2×C4—28no—
1850C2×C4—28no—
1851C2×C4—28no—
1852C2×C4—28no—
1853C2×C4—28no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—22no—
1857C2×C4—22no—
1858C2×C4—22no—
1859C2×C4—22no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—22no—
1863C2×C4—22no—
1864C2×C4—24no—
1865C2×C4—22no—
1866C2×C4—22no—
1867C2×C4—24no—
1868C2×C4—24no—
1869C2×C4—24no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—24no—
1873C2×C4—24no—
1874C2×C4—24no—
1875C2×C4—24no—
1876C2×C4—24no—
1877C2×C4—24no—
1878C2×C4—24no—
1879C2×C4—24no—
1880C2×C4—24no—
1881C2×C4—22no—
1882C2×C4—22no—
1883C2×C4—24no—
1884C2×C4—24no—
1885C2×C4—24no—
1886C2×C4—24no—
1887C2×C4—24no—
1888C2×C4—22no—
1889C2×C4—22no—
1890C2×C4—44no—
1891C2×C4—44no—
1892C2×C4—48no—
1893C2×C4—48no—
1894C2×C4—48no—
1895C2×C4—416no—
1896C2×C4—48no—
1897C2×C4—48no—
1898C2×C4—48no—
1899C2×C4—48no—
1900C2×C4—44no—
1901C2×C4—44no—
1902C2×C4—44no—
1903C2×C4—44no—
1904C2×C4—44no—
1905C2×C4—48no—
1906C2×C4—44no—
1907C2×C4—44no—
1908C2×C4—44no—
1909C2×C4—84no—
1910C2×C4—84no—
1911C2×C4—88no—
1912C2×C4—82no—
1913C2×C4—82no—
1914C2×C4—84no—
1915C2×C4—88no—
1916C2×C4—84no—
1917C2×C4—84no—
1918C2×C4—84no—
1919C2×C4—84no—
1920C2×C4—164no—
1921C2×C4C23×D412yes—
1922C2×C4C23×D412yes—
1923C2×C4C23×D414yes—
1924C2×C4C23×D414yes—
1925C2×C4C23×D414yes—
1926C2×C4C23×D412yes—
1927C2×C4C23×D412yes—
1928C2×C4C22×#4114yes—
1929C22—24no—
1930C22—24no—
1931C22—24no—
1932C22—22no—
1933C22—22no—
1934C22—22no—
1935C22—22no—
1936C22—22no—
1937C22—22no—
1938C22—24no—
1939C22—24no—
1940C22—24no—
1941C22—24no—
1942C22—28no—
1943C22—24no—
1944C22—24no—
1945C22—24no—
1946C22—24no—
1947C22—24no—
1948C22—24no—
1949C22—416no—
1950C22—416no—
1951C22—42no—
1952C22—44no—
1953C22—42no—
1954C22—42no—
1955C22—42no—
1956C22—44no—
1957C22—42no—
1958C22—44no—
1959C22—42no—
1960C22—42no—
1961C22—42no—
1962C22—44no—
1963C22—44no—
1964C22—42no—
1965C22—42no—
1966C22—42no—
1967C22—42no—
1968C22—42no—
1969C22—42no—
1970C22—44no—
1971C22—42no—
1972C22—42no—
1973C22—44no—
1974C22—42no—
1975C22—42no—
1976C22—42no—
1977C22—88no—
1978C22—88no—
1979C22—816no—
1980C22—816no—
1981C22—88no—
1982C22—88no—
1983C22—164no—
1984C22—168no—
1985C22C2×#54614yes—
1986C22C2×#54614yes—
1987C22C2×#54614yes—
1988C22C24×D411yescharacteristic
1989C22C23×#4111yescharacteristic
1990C22C22×H(5,𝔽2)11yescharacteristic
1991C22C2×#58512yes—
1992C22H(7,𝔽2)12yes—
1993C4—24no—
1994C4—24no—
1995C4—22no—
1996C4—22no—
1997C4—22no—
1998C4—22no—
1999C4—24no—
2000C4—24no—
2001C4—44no—
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4—42no—
2006C4—42no—
2007C4—42no—
2008C4—42no—
2009C4—42no—
2010C4—44no—
2011C4—44no—
2012C4—44no—
2013C4—42no—
2014C4—42no—
2015C2—24no—
2016C2—24no—
2017C2—24no—
2018C2—44no—
2019C2—44no—
2020C2—44no—
2021C2—82no—
2022C2—82no—
2023C2—82no—
2024C2C22×#54611yescharacteristic
2025C2#6281111yescharacteristic
2026C2#6285211yescharacteristic
2027C2#6290012yes—
2028C2#6299012yes—
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×#3485C2semidirect
2. C22×#551C2semidirect
3. #59805C2semidirect
4. #59800C2semidirect
5. #59011C2semidirect
6. #59007C2semidirect
7. #44759C2semidirect
8. #44001C2semidirect
9. #43979C2semidirect
10. #43932C2semidirect
11. #38905C2semidirect
12. #38900C2semidirect
13. #38031C2semidirect
14. #38031C2semidirect
15. #38028C2semidirect
16. #38023C2semidirect
17. #36426C2semidirect
18. #36316C2semidirect
19. #35377C2semidirect
20. #35349C2semidirect
21. #35348C2semidirect
22. #35346C2semidirect
23. #35097C2semidirect
24. #34983C2semidirect
25. #34981C2semidirect
26. C2×#2411C2semidirect
27. C2×#2404C2semidirect
28. #34256C2semidirect
29. #34199C2semidirect
30. #34198C2semidirect
31. #34044C2semidirect
36. C2×#551C22semidirect
37. C2×#551C22semidirect
38. C2×#551C22semidirect
39. C2×#551C22semidirect
40. C2×#547C22semidirect
41. C2×#547C22semidirect
42. C2×#547C22semidirect
43. C2×#547C22semidirect
44. C2×#546C22semidirect
45. C2×#546C22semidirect
46. C2×#546C22semidirect
47. C2×#546C22semidirect
48. C2×#536C22semidirect
51. C2×#534C22semidirect
52. C22×#126C22semidirect
53. C22×#126C22semidirect
54. C22×#124C22semidirect
55. C2×#525C22semidirect
58. C22×#123C22semidirect
59. C22×#123C22semidirect
60. C22×#123C22semidirect
61. C22×C22⋊Q8C22semidirect
62. C22×C22⋊Q8C22semidirect
66. C22×#120C22semidirect
70. C22×C4×D4C22semidirect
71. C22×#117C22semidirect
72. C22×#117C22semidirect
73. C22×#117C22semidirect
74. C23×C22⋊C4C22semidirect
75. C23×C22⋊C4C22semidirect
76. #2853C22semidirect
77. #2853C22semidirect
78. #2853C22semidirect
79. #2849C22semidirect
80. #2847C22semidirect
81. #2847C22semidirect
82. #2716C22semidirect
83. #2716C22semidirect
84. #2714C22semidirect
85. #2714C22semidirect
86. #2712C22semidirect
87. #2710C22semidirect
88. #2706C22semidirect
89. #2705C22semidirect
90. #2705C22semidirect
91. #2703C22semidirect
92. #2703C22semidirect
93. #2702C22semidirect
94. #2702C22semidirect
95. #2700C22semidirect
96. #2696C22semidirect
97. #2696C22semidirect
98. #2693C22semidirect
99. #2692C22semidirect
100. #2692C22semidirect
101. #2687C22semidirect
102. #2678C22semidirect
103. #2676C22semidirect
104. #2671C22semidirect
105. #2670C22semidirect
106. #2623C22semidirect
107. #2623C22semidirect
108. #2623C22semidirect
109. #2622C22semidirect
110. #2617C22semidirect
111. #2617C22semidirect
112. #2591C22semidirect
113. #2591C22semidirect
114. #2579C22semidirect
115. #2579C22semidirect
116. #2560C22semidirect
117. #2560C22semidirect
118. #2557C22semidirect
119. #2557C22semidirect
120. #2555C22semidirect
121. #2554C22semidirect
122. #2554C22semidirect
123. #2540C22semidirect
124. #2539C22semidirect
125. #2534C22semidirect
126. #2504C22semidirect
127. #2498C22semidirect
128. #2498C22semidirect
129. #2492C22semidirect
130. #2488C22semidirect
131. #2488C22semidirect
132. #2488C22semidirect
133. #2487C22semidirect
134. #2484C22semidirect
135. #2484C22semidirect
136. #2482C22semidirect
137. #2482C22semidirect
138. #2481C22semidirect
139. #2481C22semidirect
140. #2477C22semidirect
141. #2477C22semidirect
142. #2472C22semidirect
143. #2472C22semidirect
144. #2472C22semidirect
145. #2471C22semidirect
146. #2471C22semidirect
147. #2467C22semidirect
148. #2467C22semidirect
149. #2464C22semidirect
150. #2464C22semidirect
151. #2459C22semidirect
152. #2459C22semidirect
153. #2457C22semidirect
154. #2457C22semidirect
155. #2456C22semidirect
156. #2450C22semidirect
157. #2450C22semidirect
158. #2449C22semidirect
159. #2444C22semidirect
160. #2443C22semidirect
161. #2439C22semidirect
162. #2438C22semidirect
163. #2437C22semidirect
164. #2436C22semidirect
165. #2427C22semidirect
166. #2425C22semidirect
167. #2424C22semidirect
168. #2424C22semidirect
169. #2424C22semidirect
170. #2419C22semidirect
171. #2418C22semidirect
172. #2418C22semidirect
173. #2417C22semidirect
174. #2414C22semidirect
175. #2412C22semidirect
176. #2412C22semidirect
177. #2412C22semidirect
178. #2411C22semidirect
179. #2411C22semidirect
180. #2411C22semidirect
181. #2411C22semidirect
182. #2411C22semidirect
183. #2411C22semidirect
184. #2411C22semidirect
185. #2411C22semidirect
186. #2410C22semidirect
187. #2410C22semidirect
188. #2410C22semidirect
189. #2410C22semidirect
190. #2409C22semidirect
191. #2408C22semidirect
193. #2404C22semidirect
194. #2404C22semidirect
195. #2404C22semidirect
196. #2404C22semidirect
197. #2404C22semidirect
198. #2404C22semidirect
199. #2404C22semidirect
200. #2404C22semidirect
201. #2404C22semidirect
203. #2403C22semidirect
204. #2403C22semidirect
205. #2403C22semidirect
206. C2×#396C22semidirect
207. C2×#394C22semidirect
208. C2×#393C22semidirect
209. C2×#392C22semidirect
210. #2364C22semidirect
211. #2363C22semidirect
212. #2359C22semidirect
213. #2359C22semidirect
214. #2358C22semidirect
215. #2358C22semidirect
216. #2358C22semidirect
217. #2352C22semidirect
218. #2344C22semidirect
219. #2344C22semidirect
220. #2342C22semidirect
221. #2342C22semidirect
222. #2342C22semidirect
223. #2339C22semidirect
224. #2339C22semidirect
225. D4×C22⋊C4C22semidirect
226. D4×C22⋊C4C22semidirect
227. D4×C22⋊C4C22semidirect
228. #2322C22semidirect
229. #2321C22semidirect
230. #2321C22semidirect
231. #2315C22semidirect
232. #2315C22semidirect
233. #2315C22semidirect
234. #2311C22semidirect
235. #2311C22semidirect
236. #2311C22semidirect
237. #2311C22semidirect
238. #2310C22semidirect
239. #2309C22semidirect
245. #2308C22semidirect
246. #2308C22semidirect
247. #2308C22semidirect
248. C4×#123C22semidirect
249. C4×#120C22semidirect
250. C4×#120C22semidirect
251. #2297C22semidirect
252. #2297C22semidirect
253. #2297C22semidirect
254. #2297C22semidirect
255. C2×#390C22semidirect
256. C2×#388C22semidirect
259. C2×#386C22semidirect
260. C2×#386C22semidirect
261. C2×#386C22semidirect
262. C2×#386C22semidirect
263. C2×#385C22semidirect
264. #2280C22semidirect
265. #2280C22semidirect
266. C2×#381C22semidirect
267. C2×#379C22semidirect
268. #2273C22semidirect
321. C2×C4⋊Q8C23semidirect
322. C2×C4⋊Q8C23semidirect
332. C2×#124C23semidirect
333. C2×#124C23semidirect
334. C2×#124C23semidirect
340. C2×#123D4semidirect
357. C2×#123C23semidirect
358. C2×#123C23semidirect
359. C2×#123C23semidirect
360. C2×#123C23semidirect
361. C2×#123C23semidirect
362. C2×#123C23semidirect
363. C2×#123C23semidirect
370. C2×C22⋊Q8C23semidirect
371. C2×C22⋊Q8C23semidirect
372. C2×C22⋊Q8C23semidirect
373. C2×C22⋊Q8C23semidirect
374. C2×C22⋊Q8C23semidirect
375. C2×C22⋊Q8C23semidirect
376. C2×C22⋊Q8C23semidirect
385. C2×#121C23semidirect
386. C2×#121C23semidirect
387. C2×#121C23semidirect
388. C2×#121C23semidirect
389. C2×#121C23semidirect
390. C2×#121C23semidirect
412. C2×#120C23semidirect
413. C2×#120C23semidirect
430. C2×C4×D4C23semidirect
431. C2×C4×D4C23semidirect
432. C2×C4×D4C23semidirect
433. C2×C4×D4C23semidirect
461. C22×C4⋊C4C23semidirect
462. C22×C4⋊C4C23semidirect
502. C22×C22⋊C4C23semidirect
503. C22×C22⋊C4C23semidirect
504. C22×C22⋊C4C23semidirect
509. #400C23semidirect
510. #400C23semidirect
511. #400C23semidirect
512. #400C23semidirect
513. #400C23semidirect
514. #400C23semidirect
515. #399C23semidirect
516. #399C23semidirect
517. #399C23semidirect
518. #399C23semidirect
519. #398C23semidirect
520. #398C23semidirect
521. #398C23semidirect
522. #398C23semidirect
523. #398C23semidirect
526. #397C23semidirect
527. #397C23semidirect
528. #397C23semidirect
529. #397C23semidirect
530. #397C23semidirect
531. #397C23semidirect
532. #397C23semidirect
539. #396C23semidirect
540. #396C23semidirect
541. #395C23semidirect
554. #394C23semidirect
555. #394C23semidirect
556. #394C23semidirect
557. #394C23semidirect
564. #393C23semidirect
565. #393C23semidirect
566. #393C23semidirect
581. #391C23semidirect
582. #391C23semidirect
583. #391C23semidirect
584. #391C23semidirect
585. #391C23semidirect
586. #391C23semidirect
587. #391C23semidirect
588. #391C23semidirect
597. #390C23semidirect
598. #390C23semidirect
599. #390C23semidirect
600. #390C23semidirect
601. #390C23semidirect
602. #390C23semidirect
603. #390C23semidirect
604. #389C23semidirect
605. #389C23semidirect
606. #389C23semidirect
617. #388C23semidirect
618. #388C23semidirect
619. #388C23semidirect
620. #388C23semidirect
621. #388C23semidirect
622. #388C23semidirect
623. #388C23semidirect
624. #388C23semidirect
625. #388C23semidirect
626. #388C23semidirect
627. #388C23semidirect
628. #388C23semidirect
629. #388C23semidirect
630. #388C23semidirect
631. #387C23semidirect
632. #387C23semidirect
633. #387C23semidirect
634. #387C23semidirect
635. #387C23semidirect
636. #387C23semidirect
637. #387C23semidirect
638. #387C23semidirect
639. #387C23semidirect
640. #387C23semidirect
641. #387C23semidirect
642. #387C23semidirect
696. #386C23semidirect
697. #386C23semidirect
698. #386C23semidirect
699. #386C23semidirect
700. #386C23semidirect
716. #385C23semidirect
717. #385C23semidirect
718. #385C23semidirect
719. #385C23semidirect
720. #385C23semidirect
721. #382C23semidirect
733. #381C23semidirect
734. #381C23semidirect
741. #380C23semidirect
742. #380C23semidirect
743. #380C23semidirect
744. #380C23semidirect
745. #380C23semidirect
746. #380C23semidirect
747. #380C23semidirect
758. #379C23semidirect
759. C4×C4⋊C4C23semidirect
760. C4×C4⋊C4C23semidirect
767. C4×C22⋊C4C23semidirect
768. C4×C22⋊C4C23semidirect
769. C4×C22⋊C4C23semidirect
770. C4×C22⋊C4C23semidirect
771. C4×C22⋊C4C23semidirect
772. C4×C22⋊C4C23semidirect
773. C4×C22⋊C4C23semidirect
774. C4×C22⋊C4C23semidirect
781. C2×#95C23semidirect
977. #123C2×D4semidirect
978. #123C2×D4semidirect
979. #123C2×D4semidirect
980. #123C2×D4semidirect
1065. C2×C4⋊C4C2×D4semidirect
1066. C2×C4⋊C4C2×D4semidirect
1138. C2×C22⋊C4C2×D4semidirect
1139. C2×C22⋊C4C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34852
C22×#5512
#598052
#598002
#590112
#590072
#447592
#440012
#439792
#439322
#389052
#389002
#380312
#380282
#380232
#364262
#363162
#353772
#353492
#353482
#353462
#350972
#349832
#349812
C2×#24112
C2×#24042
#342562
#341992
#341982
#340442