Finite Group Databasebeta

← #7626917

Subgroups — #7626917

Order 512.

7946 conjugacy classes of subgroups.

The subgroup lattice has 1875 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3519C211yesmaximal, characteristic
2#34494C211yesmaximal, characteristic, complemented
3#34485C211yesmaximal, characteristic, complemented
4#34483C212yesmaximal, complemented
5#34476C214yesmaximal, complemented
6#34476C212yesmaximal, complemented
7#34466C212yesmaximal, complemented
8#34461C212yesmaximal, complemented
9#34456C214yesmaximal, complemented
10#34431C212yesmaximal, complemented
11#34424C214yesmaximal, complemented
12#34423C212yesmaximal, complemented
13#34416C214yesmaximal, complemented
14#34404C212yesmaximal, complemented
15#34383C211yesmaximal, characteristic, complemented
16#34379C212yesmaximal, complemented
17#34368C211yesmaximal, characteristic, complemented
18#34332C211yesmaximal, characteristic, complemented
19#34321C211yesmaximal, characteristic, complemented
20#34313C211yesmaximal, characteristic, complemented
21#34310C212yesmaximal, complemented
22#34310C211yesmaximal, characteristic, complemented
23#34305C212yesmaximal, complemented
24#34290C212yesmaximal, complemented
25#34288C212yesmaximal, complemented
26#34261C212yesmaximal, complemented
27#34248C212yesmaximal, complemented
28#34226C211yesmaximal, characteristic, complemented
29#34202C212yesmaximal, complemented
30#34181C211yesmaximal, characteristic, complemented
31C4×#554C211yesmaximal, characteristic, complemented
32C4×D42C211yesmaximal, characteristic, complemented
33D4×#117C211yesmaximal, characteristic, complemented
34#34084C211yesmaximal, characteristic, complemented
35C2×#2324C212yesmaximal, complemented
36#3519C4132yescomplemented
37C2×#555C2211yescharacteristic
38C2×#554C2211yescharacteristic
39C2×#553C2212yes—
40C2×#553C2212yes—
41C2×#550C2211yescharacteristic
42C2×#546C2214yes—
43C2×#546C2212yes—
44C2×D42C2211yescharacteristic
45C2×D42C2212yes—
46C2×#540C2212yes—
47C2×#538C2214yes—
48C2×#532C2211yescharacteristic
49C2×#529C2211yescharacteristic
50C2×#525C2212yes—
51C22×#121C2212yes—
52C2×#520C2212yescomplemented
53C2×#518C2212yes—
54C2×#518C2212yes—
55C2×#518C2212yes—
56C22×C4×D4C2212yes—
57C22×C4×D4C2211yescharacteristic
58C22×C4×D4C2212yescomplemented
59C22×#117C2212yescomplemented
60#2383C2214yescomplemented
61#2379C2214yescomplemented
62#2379C2214yescomplemented
63#2377C2214yescomplemented
64#2377C2214yescomplemented
65#2377C2214yescomplemented
66#2377C2214yescomplemented
67#2376C2214yescomplemented
68#2376C2214yescomplemented
69#2376C2214yescomplemented
70#2376C2214yescomplemented
71#2376C2214yescomplemented
72#2373C2214yescomplemented
73#2370C2212yescomplemented
74#2370C2212yescomplemented
75#2370C2212yescomplemented
76#2369C2211yescharacteristic, complemented
77#2369C2211yescharacteristic, complemented
78#2368C2214yescomplemented
79#2367C2214yescomplemented
80#2367C2212yescomplemented
81#2367C2212yescomplemented
82#2367C2212yescomplemented
83#2366C2211yescharacteristic, complemented
84#2366C2212yescomplemented
85#2366C2212yescomplemented
86#2366C2211yescharacteristic, complemented
87#2364C2214yescomplemented
88#2363C2212yescomplemented
89#2363C2212yescomplemented
90#2363C2212yescomplemented
91#2363C2212yescomplemented
92#2361C2212yescomplemented
93#2361C2212yescomplemented
94#2361C2214yescomplemented
95#2361C2212yescomplemented
96#2361C2214yescomplemented
97#2361C2212yescomplemented
98#2361C2212yescomplemented
99#2361C2212yescomplemented
100#2361C2212yescomplemented
101#2361C2214yescomplemented
102#2361C2212yescomplemented
103#2360C2212yescomplemented
104#2360C2214yescomplemented
105#2360C2212yescomplemented
106#2359C2214yescomplemented
107#2359C2214yescomplemented
108#2359C2214yescomplemented
109#2359C2214yescomplemented
110#2358C2214yescomplemented
111#2358C2214yescomplemented
112#2358C2214yescomplemented
113#2358C2214yescomplemented
114#2358C2214yescomplemented
115#2358C2214yescomplemented
116#2357C2212yescomplemented
117#2355C2211yescharacteristic, complemented
118#2354C2212yescomplemented
119#2354C2211yescharacteristic, complemented
120#2354C2212yescomplemented
121#2354C2212yescomplemented
122#2354C2211yescharacteristic, complemented
123#2354C2211yescharacteristic, complemented
124#2354C2214yescomplemented
125#2353C2214yescomplemented
126#2352C2212yescomplemented
127#2352C2212yescomplemented
128#2352C2212yescomplemented
129#2352C2214yescomplemented
130#2352C2214yescomplemented
131Q8×C4⋊C4C2211yescharacteristic, complemented
132#2349C2212yes—
133#2349C2212yes—
134#2349C2214yescomplemented
135#2349C2214yescomplemented
136#2349C2214yescomplemented
137#2349C2212yescomplemented
138#2349C2212yescomplemented
139#2349C2212yescomplemented
140D4×C4⋊C4C2212yes—
141D4×C4⋊C4C2211yescharacteristic
142D4×C4⋊C4C2211yescharacteristic
143D4×C4⋊C4C2211yescharacteristic
144D4×C4⋊C4C2211yescharacteristic
145D4×C4⋊C4C2212yescomplemented
146D4×C4⋊C4C2211yescharacteristic, complemented
147D4×C4⋊C4C2212yescomplemented
148D4×C4⋊C4C2211yescharacteristic, complemented
149D4×C4⋊C4C2212yescomplemented
150D4×C4⋊C4C2212yescomplemented
151D4×C4⋊C4C2211yescharacteristic, complemented
152D4×C4⋊C4C2214yescomplemented
153D4×C4⋊C4C2212yescomplemented
154D4×C4⋊C4C2214yescomplemented
155#2347C2212yescomplemented
156#2347C2212yescomplemented
157#2346C2212yescomplemented
158#2346C2212yescomplemented
159#2345C2212yescomplemented
160#2345C2212yescomplemented
161#2344C2211yescharacteristic, complemented
162#2344C2211yescharacteristic, complemented
163#2342C2212yescomplemented
164#2342C2212yescomplemented
165#2342C2214yescomplemented
166#2342C2214yescomplemented
167#2341C2212yescomplemented
168#2341C2212yescomplemented
169#2339C2212yescomplemented
170#2339C2212yescomplemented
171D4×C22⋊C4C2211yescharacteristic
172D4×C22⋊C4C2212yes—
173D4×C22⋊C4C2212yes—
174D4×C22⋊C4C2211yescharacteristic
175D4×C22⋊C4C2214yescomplemented
176D4×C22⋊C4C2212yescomplemented
177D4×C22⋊C4C2212yescomplemented
178D4×C22⋊C4C2214yescomplemented
179#2337C2214yescomplemented
180#2335C2214yescomplemented
181#2335C2212yescomplemented
182#2335C2212yescomplemented
183#2335C2214yescomplemented
184#2334C2214yescomplemented
185#2334C2212yescomplemented
186#2334C2212yescomplemented
187#2334C2214yescomplemented
188#2334C2214yescomplemented
189#2330C2211yescharacteristic, complemented
190#2330C2212yescomplemented
191#2330C2211yescharacteristic, complemented
192#2329C2214yescomplemented
193#2328C2212yescomplemented
194#2326C2211yescharacteristic, complemented
195#2326C2211yescharacteristic, complemented
196#2326C2214yescomplemented
197#2325C2214yescomplemented
198#2325C2214yescomplemented
199#2325C2214yescomplemented
200#2325C2214yescomplemented
201#2325C2214yescomplemented
202#2324C2211yescharacteristic
203#2324C2212yes—
204#2324C2211yescharacteristic
205#2324C2212yescomplemented
206#2324C2212yescomplemented
207#2324C2212yescomplemented
208#2324C2212yescomplemented
209#2324C2214yescomplemented
210#2324C2212yescomplemented
211#2324C2212yescomplemented
212#2324C2214yescomplemented
213#2324C2214yescomplemented
214#2324C2214yescomplemented
215#2324C2212yescomplemented
216#2324C2212yescomplemented
217#2324C2214yescomplemented
218#2324C2212yescomplemented
219#2324C2212yescomplemented
220#2324C2212yescomplemented
221#2324C2212yescomplemented
222#2324C2214yescomplemented
223#2323C2211yescharacteristic, complemented
224#2323C2211yescharacteristic, complemented
225#2323C2212yescomplemented
226#2322C2214yescomplemented
227#2322C2214yescomplemented
228#2321C2214yescomplemented
229#2321C2214yescomplemented
230#2321C2214yescomplemented
231#2321C2214yescomplemented
232#2319C2214yescomplemented
233#2319C2212yescomplemented
234#2319C2212yescomplemented
235#2318C2214yescomplemented
236#2318C2214yescomplemented
237#2317C2212yescomplemented
238#2317C2212yescomplemented
239#2317C2212yescomplemented
240#2316C2212yescomplemented
241#2315C2214yescomplemented
242#2315C2214yescomplemented
243#2315C2214yescomplemented
244#2314C2212yescomplemented
245#2312C2214yescomplemented
246#2311C2214yescomplemented
247#2311C2212yescomplemented
248C4×C4⋊Q8C2211yescharacteristic, complemented
249C4×C4⋊Q8C2211yescharacteristic, complemented
250C4×#127C2212yescomplemented
251C4×#127C2211yescharacteristic, complemented
252C4×#127C2211yescharacteristic, complemented
253C4×#125C2212yescomplemented
254C4×C22⋊Q8C2212yescomplemented
255C4×C22⋊Q8C2214yescomplemented
256C4×C22⋊Q8C2212yescomplemented
257C4×#121C2214yescomplemented
258C4×#121C2212yescomplemented
259C4×#121C2212yescomplemented
260C4×#121C2212yescomplemented
261C4×#121C2212yescomplemented
262C4×#120C2214yescomplemented
263C4×#120C2214yescomplemented
264#2298C2212yescomplemented
265#2296C2212yescomplemented
266#2296C2212yescomplemented
267#2295C2211yescharacteristic, complemented
268#2293C2212yescomplemented
269#2293C2211yescharacteristic, complemented
270#2293C2211yescharacteristic, complemented
271#2293C2212yescomplemented
272#2293C2211yescharacteristic, complemented
273C2×#390C2214yescomplemented
274C2×#390C2212yescomplemented
275C2×#389C2212yescomplemented
276#2290C2212yescomplemented
277#2290C2214yescomplemented
278#2290C2212yescomplemented
279#2290C2212yescomplemented
280C2×#388C2214yescomplemented
281C2×#386C2214yescomplemented
282C2×#385C2214yescomplemented
283C2×#385C2214yescomplemented
284#2285C2211yescharacteristic, complemented
285#2285C2211yescharacteristic, complemented
286#2285C2211yescharacteristic, complemented
287#2280C2212yescomplemented
288C2×#380C2212yescomplemented
289C2×#380C2212yescomplemented
290#2275C2212yes—
291#2275C2212yescomplemented
292#2274C2212yescomplemented
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2211yescharacteristic
295C42×D4C2212yes—
296C42×D4C2211yescharacteristic
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C2×C4×C4⋊C4C2212yescomplemented
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2311yescharacteristic
304C23×D4C2312yes—
305C23×D4C2314yes—
306C24×C4C2314yes—
307C24×C4C2312yes—
308#555C2×C4116yescomplemented
309#554C2×C4116yescomplemented
310#553C2×C4132yescomplemented
311#553C2×C4132yescomplemented
312#550C2×C4116yescomplemented
313#546C2×C4164yescomplemented
314#546C2×C4132yescomplemented
315D42C2×C4116yescomplemented
316D42C2×C4132yescomplemented
317#540C2×C4132yescomplemented
318#538C2×C4164yescomplemented
319#532C2×C4116yescomplemented
320C2×C4⋊Q8C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323#529C2×C4116yescomplemented
324C2×#126C2312yes—
325C2×#126C2314yes—
326C2×#125C2312yes—
327C2×#125C2311yescharacteristic
328C2×#124C2311yescharacteristic
329C2×#124C2314yes—
330C2×#124C2312yes—
331#525C2×C4132yescomplemented
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×C22⋊Q8C2311yescharacteristic
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×#121C2×C4132yescomplemented
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#120C2314yes—
354C2×#120C2314yes—
355C2×#120C2314yes—
356#520—48no—
357#518—48no—
358#518—48no—
359#518C2×C4132yescomplemented
360C2×C4×Q8C2311yescharacteristic
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×D4—48no—
367C2×C4×D4—48no—
368C2×C4×D4C2×C4116yescomplemented
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2314yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2314yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2312yes—
419C2×#117—48no—
420C2×#117C2311yescharacteristic
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2311yescharacteristic
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2314yes—
434C2×#117C2314yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2314yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2314yes—
447C22×C4⋊C4C2314yes—
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2312yes—
450C22×C22⋊C4C2314yes—
451C22×C22⋊C4C2314yes—
452C22×C22⋊C4C2314yes—
453C22×C22⋊C4C2314yes—
454C22×C22⋊C4C2314yes—
455C22×C22⋊C4C2312yes—
456C22×C22⋊C4C2312yes—
457C22×C22⋊C4C2314yes—
458C22×C22⋊C4C2314yes—
459C22×C22⋊C4C2314yes—
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2314yes—
462C22×C42C2312yes—
463C22×C42C2312yes—
464C22×C42C2312yes—
465C22×C42C2314yes—
466C22×C42C2311yescharacteristic
467#391C2312yes—
468#391C2312yes—
469#391C2311yescharacteristic
470#391C2312yes—
471#391C2314yes—
472#391C2314yes—
473#391C2311yescharacteristic
474#390C2311yescharacteristic
475#390C2312yes—
476#390C2312yes—
477#390C2312yes—
478#390C2312yes—
479#390C2314yes—
480#390C2312yes—
481#390C2314yes—
482#390C2312yes—
483#390C2314yes—
484#390C2314yes—
485#390C2312yes—
486#390C2314yes—
487#390C2312yes—
488#390C2314yes—
489#390C2314yes—
490#390C2314yes—
491#390C2311yescharacteristic
492#390C2312yes—
493#390C2312yes—
494#390C2314yes—
495#390C2311yescharacteristic
496#390C2312yes—
497#390C2311yescharacteristic
498#390C2312yes—
499#390C2314yes—
500#390C2312yes—
501#390C2314yes—
502#390C2314yes—
503#390C2314yes—
504#390C2311yescharacteristic
505#390C2311yescharacteristic
506#389C2312yes—
507#389C2312yes—
508#389C2312yes—
509#389C2312yes—
510#389C2312yes—
511#389C2312yes—
512#389C2312yes—
513#389C2312yes—
514#389C2314yes—
515#389C2312yes—
516#389C2314yes—
517#389C2311yescharacteristic
518#389C2311yescharacteristic
519#389C2314yes—
520#389C2314yes—
521#389C2312yes—
522#389C2312yes—
523#389C2311yescharacteristic
524#389C2314yes—
525#389C2314yes—
526#389C2314yes—
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2311yescharacteristic
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2314yes—
535#389C2314yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2312yes—
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#388C2312yes—
544#388C2314yes—
545#388C2314yes—
546#388C2314yes—
547#388C2314yes—
548#388C2314yes—
549#388C2314yes—
550#388C2314yes—
551#388C2314yes—
552#388C2312yes—
553#388C2314yes—
554#388C2314yes—
555#388C2312yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2312yes—
562#388C2312yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2314yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2312yes—
579#388C2312yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2312yes—
585#388C2312yes—
586#388C2312yes—
587#388C2312yes—
588#388C2312yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#387C2314yes—
594#387C2314yes—
595#387C2314yes—
596#387C2314yes—
597#387C2312yes—
598#387C2314yes—
599#387C2312yes—
600#387C2314yes—
601#387C2312yes—
602#387C2312yes—
603#387C2312yes—
604#387C2312yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2312yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2312yes—
634#386C2314yes—
635#386C2312yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2314yes—
646#386C2314yes—
647#386C2312yes—
648#386C2314yes—
649#386C2312yes—
650#385C2312yes—
651#385C2312yes—
652#385C2312yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2314yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2312yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2312yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#384C2312yes—
696#384C2311yescharacteristic
697#384C2314yes—
698#384C2311yescharacteristic
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#383C2314yes—
702#382C2312yes—
703#382C2312yes—
704#382C2314yes—
705#382C2314yes—
706#382C2312yes—
707#382C2312yes—
708#381C2312yes—
709#381C2314yes—
710#381C2314yes—
711#381C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2314yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#380C2311yescharacteristic
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#379C2314yes—
743#379C2314yes—
744#379C2312yes—
745#379C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2314yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2314yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2314yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2314yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2314yes—
821#376C2311yescharacteristic
822#376C2314yes—
823#376C2312yes—
824#376C2311yescharacteristic
825C2×#95C2314yes—
826C2×#95C2314yes—
827C2×#95C2314yes—
828C2×#95C2314yes—
829C2×#95C2314yes—
830C2×#95C2314yes—
831C43C2312yes—
832C43C2311yescharacteristic
833C43C2311yescharacteristic
834C25C2412yes—
835C25C2414yes—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—82no—
839C2×#41—82no—
840C2×#41C22×C4116yescomplemented
841C2×#41C22×C4116yescomplemented
842C22×Q8C2411yescharacteristic
843C22×Q8C2412yes—
844C22×D4—28no—
845C22×D4—24no—
846C22×D4—28no—
847C22×D4—24no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—84no—
851C22×D4—84no—
852C22×D4C22×C418yes—
853C22×D4C22×C4116yes—
854C22×D4C22×C4116yes—
855C22×D4C22×C4132yescomplemented
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2411yescharacteristic
860C22×D4C2411yescharacteristic
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2412yes—
869C22×D4C2411yescharacteristic
870C23×C4—44no—
871C23×C4—44no—
872C23×C4—48no—
873C23×C4—48no—
874C23×C4—84no—
875C23×C4C22×C4116yescomplemented
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2414yes—
885C23×C4C2412yes—
886C23×C4C2414yes—
887C23×C4C2414yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2414yes—
891C23×C4C2414yes—
892C23×C4C2414yes—
893C23×C4C2414yes—
894C23×C4C2414yes—
895C23×C4C2414yes—
896C23×C4C2412yes—
897C23×C4C2411yescharacteristic
898C23×C4C2414yes—
899C23×C4C2412yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C23×C4C2412yes—
903C4⋊Q8C22×C418yescomplemented
904#127C22×C418yes—
905#127C22×C4116yescomplemented
906#126C22×C4116yescomplemented
907#126C22×C4132yescomplemented
908#125C22×C418yescomplemented
909#125C22×C4116yescomplemented
910#124C22×C418yes—
911#124C22×C4116yescomplemented
912#124C22×C4132yescomplemented
913#123C22×C4132yescomplemented
914#123C22×C4116yescomplemented
915#123C22×C4132yescomplemented
916#123C22×C4132yescomplemented
917C22⋊Q8C22×C418yescomplemented
918C22⋊Q8C22×C4116yescomplemented
919C22⋊Q8C22×C4132yescomplemented
920#121C22×C418yes—
921#121C22×C4116yes—
922#121C22×C4116yes—
923#121C22×C4116yes—
924#121C22×C4116yescomplemented
925#121C22×C4132yescomplemented
926#121C22×C4132yescomplemented
927#121C22×C4116yescomplemented
928#121C22×C4116yescomplemented
929#121C22×C4132yescomplemented
930#121C22×C4132yescomplemented
931#121C22×C4116yescomplemented
932#121C22×C4132yescomplemented
933#120C22×C4132yes—
934#120C22×C4132yescomplemented
935#120C22×C4132yescomplemented
936C4×Q8—24no—
937C4×Q8—42no—
938C4×Q8—44no—
939C4×Q8—82no—
940C4×Q8—82no—
941C4×Q8C22×C418yescomplemented
942C4×D4—24no—
943C4×D4—28no—
944C4×D4—24no—
945C4×D4—28no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—28no—
950C4×D4—48no—
951C4×D4—48no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—42no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—48no—
964C4×D4—48no—
965C4×D4—48no—
966C4×D4—48no—
967C4×D4—48no—
968C4×D4—48no—
969C4×D4—48no—
970C4×D4—48no—
971C4×D4—84no—
972C4×D4—84no—
973C4×D4—82no—
974C4×D4—84no—
975C4×D4—82no—
976C4×D4—84no—
977C4×D4C22×C418yes—
978C4×D4C22×C418yes—
979C4×D4C22×C4116yes—
980C4×D4C22×C418yes—
981C4×D4C22×C4116yescomplemented
982C4×D4C22×C418yescomplemented
983C4×D4C22×C4116yescomplemented
984C4×D4C22×C418yescomplemented
985C4×D4C22×C4132yescomplemented
986C4×D4C22×C4116yescomplemented
987C4×D4C22×C4132yescomplemented
988C4×D4C22×C4116yescomplemented
989C4×D4C22×C4132yescomplemented
990C4×D4C22×C4116yescomplemented
991C4×D4C22×C4116yescomplemented
992#117—24no—
993#117—28no—
994#117—44no—
995#117—44no—
996#117—42no—
997#117—44no—
998#117—44no—
999#117—44no—
1000#117—44no—
1001#117—44no—
1002#117—44no—
1003#117—48no—
1004#117—44no—
1005#117—44no—
1006#117—84no—
1007#117C22×C4116yescomplemented
1008#117C22×C4116yescomplemented
1009#117C22×C4116yescomplemented
1010C2×C4⋊C4—44no—
1011C2×C4⋊C4—44no—
1012C2×C4⋊C4—44no—
1013C2×C4⋊C4—44no—
1014C2×C4⋊C4—44no—
1015C2×C4⋊C4—44no—
1016C2×C4⋊C4—48no—
1017C2×C4⋊C4—44no—
1018C2×C4⋊C4—84no—
1019C2×C4⋊C4—84no—
1020C2×C4⋊C4C22×C418yescomplemented
1021C2×C4⋊C4C22×C4116yescomplemented
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2412yes—
1082C2×C22⋊C4—44no—
1083C2×C22⋊C4—44no—
1084C2×C22⋊C4—48no—
1085C2×C22⋊C4—48no—
1086C2×C22⋊C4—48no—
1087C2×C22⋊C4—48no—
1088C2×C22⋊C4—48no—
1089C2×C22⋊C4—48no—
1090C2×C22⋊C4—84no—
1091C2×C22⋊C4C22×C4116yescomplemented
1092C2×C22⋊C4C22×C4132yescomplemented
1093C2×C22⋊C4C22×C4132yescomplemented
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C42—28no—
1157C2×C42—44no—
1158C2×C42—44no—
1159C2×C42—84no—
1160C2×C42C22×C418yescomplemented
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2414yes—
1178C2×C42C2414yes—
1179C2×C42C2414yes—
1180C2×C42C2414yes—
1181C2×C42C2414yes—
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2412yes—
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2414yes—
1188C2×C42C2414yes—
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2412yes—
1192C2×C42C2414yes—
1193C2×C42C2412yes—
1194C2×C42C2411yescharacteristic
1195C2×C42C2414yes—
1196C2×C42C2412yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2411yescharacteristic
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2411yescharacteristic
1231#95C2414yes—
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2411yescharacteristic
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2414yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2414yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2414yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257C24—24no—
1258C24—28no—
1259C24—24no—
1260C24—28no—
1261C24—42no—
1262C24—44no—
1263C24—44no—
1264C24—42no—
1265C24—44no—
1266C24—44no—
1267C24—42no—
1268C24—42no—
1269C24C23×C4116yes—
1270C24C23×C418yes—
1271C24C2511yescharacteristic
1272C24C2512yes—
1273C24C2512yes—
1274C24C2514yes—
1275C24C2512yes—
1276#41—432no—
1277#41—816no—
1278C2×Q8—22no—
1279C2×Q8—22no—
1280C2×Q8—42no—
1281C2×Q8—42no—
1282C2×Q8C23×C414yes—
1283C2×Q8C23×C418yes—
1284C2×D4—28no—
1285C2×D4—24no—
1286C2×D4—28no—
1287C2×D4—24no—
1288C2×D4—264no—
1289C2×D4—232no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—22no—
1294C2×D4—24no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—24no—
1298C2×D4—432no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—832no—
1314C2×D4C23×C414yes—
1315C2×D4C23×C4116yes—
1316C2×D4C23×C418yes—
1317C2×D4C23×C418yes—
1318C2×D4C23×C414yes—
1319C2×D4C23×C418yes—
1320C2×D4C23×C4116yes—
1321C2×D4C23×C418yes—
1322C2×D4C23×C418yes—
1323C2×D4C23×C4116yes—
1324C2×D4C23×C4116yes—
1325C2×D4C23×C4116yes—
1326C2×D4C23×C4116yes—
1327C2×D4C23×C414yes—
1328C2×D4H(5,𝔽2)14yes—
1329C2×D42−1+414yes—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—24no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—24no—
1336C22×C4—22no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—28no—
1344C22×C4—28no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—28no—
1350C22×C4—432no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—44no—
1354C22×C4—42no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—44no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—44no—
1367C22×C4—41no—
1368C22×C4—41no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—42no—
1376C22×C4—44no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—832no—
1401C22×C4C23×C414yes—
1402C22×C4C23×C414yes—
1403C22×C4C23×C418yes—
1404C22×C4C23×C418yes—
1405C22×C4C23×C418yes—
1406C22×C4C23×C414yes—
1407C22×C4C23×C418yes—
1408C22×C4C23×C4116yes—
1409C22×C4C23×C418yes—
1410C22×C4C23×C4116yes—
1411C22×C4C23×C4116yes—
1412C22×C4C23×C418yes—
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2514yes—
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2512yes—
1426C22×C4C2514yes—
1427C22×C4C2512yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2512yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2512yes—
1433C22×C4C2514yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C4⋊C4—24no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—22no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—42no—
1471C4⋊C4—44no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—41no—
1478C4⋊C4—41no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—44no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4C23×C414yes—
1491C4⋊C4C23×C414yes—
1492C4⋊C4C23×C418yes—
1493C4⋊C4C23×C414yes—
1494C4⋊C4C23×C418yes—
1495C4⋊C4C23×C4116yes—
1496C4⋊C4C23×C414yes—
1497C4⋊C4C23×C418yes—
1498C4⋊C4C23×C418yes—
1499C4⋊C4C23×C418yes—
1500C4⋊C4C23×C418yes—
1501C4⋊C4C23×C4116yes—
1502C4⋊C4C23×C418yes—
1503C22⋊C4—24no—
1504C22⋊C4—28no—
1505C22⋊C4—28no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—22no—
1510C22⋊C4—22no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—28no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—41no—
1538C22⋊C4—41no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—44no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4C23×C418yes—
1550C22⋊C4C23×C418yes—
1551C22⋊C4C23×C4116yes—
1552C22⋊C4C23×C418yes—
1553C22⋊C4C23×C418yes—
1554C22⋊C4C23×C4116yes—
1555C22⋊C4C23×C4116yes—
1556C22⋊C4C23×C418yes—
1557C22⋊C4C23×C4116yes—
1558C22⋊C4C23×C418yes—
1559C22⋊C4C23×C4116yes—
1560C22⋊C4C23×C418yes—
1561C22⋊C4C23×C418yes—
1562C22⋊C4C23×C4116yes—
1563C22⋊C4C23×C418yes—
1564C22⋊C4C23×C4116yes—
1565C42—24no—
1566C42—24no—
1567C42—24no—
1568C42—22no—
1569C42—22no—
1570C42—24no—
1571C42—24no—
1572C42—24no—
1573C42—22no—
1574C42—24no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—42no—
1580C42—42no—
1581C42—42no—
1582C42—42no—
1583C42—42no—
1584C42—44no—
1585C42—44no—
1586C42—44no—
1587C42—44no—
1588C42—44no—
1589C42—44no—
1590C42—44no—
1591C42—41no—
1592C42—41no—
1593C42—42no—
1594C42—44no—
1595C42—42no—
1596C42—41no—
1597C42—41no—
1598C42C23×C414yes—
1599C42C23×C414yes—
1600C42C23×C414yes—
1601C42C23×C414yes—
1602C42C23×C4116yes—
1603C42C23×C418yes—
1604C42H(5,𝔽2)14yes—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—22no—
1609C23—21no—
1610C23—22no—
1611C23—24no—
1612C23—22no—
1613C23—21no—
1614C23—22no—
1615C23—24no—
1616C23—22no—
1617C23—21no—
1618C23—22no—
1619C23—22no—
1620C23—24no—
1621C23—21no—
1622C23—24no—
1623C23—22no—
1624C23—22no—
1625C23—24no—
1626C23—22no—
1627C23—22no—
1628C23—22no—
1629C23—24no—
1630C23—22no—
1631C23—21no—
1632C23—21no—
1633C23—216no—
1634C23—232no—
1635C23—48no—
1636C23—416no—
1637C23—48no—
1638C23—416no—
1639C23—88no—
1640C23—84no—
1641C23—88no—
1642C23—84no—
1643C23—84no—
1644C23—88no—
1645C23—84no—
1646C23—88no—
1647C23C24×C414yes—
1648C23C24×C414yes—
1649C23C24×C418yes—
1650C23C24×C412yes—
1651C23C24×C414yes—
1652C23C2×H(5,𝔽2)14yes—
1653C23C2×2−1+414yes—
1654C23C2611yescharacteristic
1655Q8—28no—
1656Q8—48no—
1657D4—232no—
1658D4—216no—
1659D4—216no—
1660D4—28no—
1661D4—28no—
1662D4—216no—
1663D4—416no—
1664D4—48no—
1665D4—416no—
1666D4—416no—
1667D4—416no—
1668D4—416no—
1669D4—48no—
1670D4#520116yescomplemented
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—216no—
1696C2×C4—28no—
1697C2×C4—28no—
1698C2×C4—216no—
1699C2×C4—216no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—24no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—24no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—24no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—48no—
1749C2×C4—48no—
1750C2×C4—48no—
1751C2×C4—416no—
1752C2×C4—416no—
1753C2×C4—416no—
1754C2×C4—44no—
1755C2×C4—48no—
1756C2×C4—48no—
1757C2×C4—48no—
1758C2×C4—88no—
1759C2×C4—84no—
1760C2×C4—88no—
1761C2×C4—84no—
1762C2×C4—88no—
1763C2×C4—84no—
1764C2×C4—88no—
1765C2×C4—88no—
1766C2×C4—164no—
1767C2×C4—164no—
1768C2×C4—164no—
1769C2×C4—164no—
1770C2×C4C24×C412yes—
1771C2×C4C24×C414yes—
1772C2×C4C24×C412yes—
1773C2×C4C24×C414yes—
1774C2×C4C24×C412yes—
1775C2×C4C24×C412yes—
1776C2×C4C24×C414yes—
1777C2×C4C24×C418yes—
1778C2×C4C24×C414yes—
1779C2×C4C24×C414yes—
1780C2×C4C24×C412yes—
1781C2×C4C24×C412yes—
1782C2×C4C2×H(5,𝔽2)12yes—
1783C2×C4C2×H(5,𝔽2)12yes—
1784C2×C4C2×H(5,𝔽2)12yes—
1785C2×C4C2×H(5,𝔽2)12yes—
1786C2×C4C2×2−1+412yes—
1787C2×C4#58512yes—
1788C22—24no—
1789C22—24no—
1790C22—24no—
1791C22—24no—
1792C22—24no—
1793C22—24no—
1794C22—22no—
1795C22—24no—
1796C22—24no—
1797C22—28no—
1798C22—22no—
1799C22—24no—
1800C22—28no—
1801C22—24no—
1802C22—22no—
1803C22—28no—
1804C22—24no—
1805C22—24no—
1806C22—42no—
1807C22—44no—
1808C22—42no—
1809C22—41no—
1810C22—42no—
1811C22—42no—
1812C22—44no—
1813C22—41no—
1814C22—42no—
1815C22—44no—
1816C22—41no—
1817C22—42no—
1818C22—44no—
1819C22—42no—
1820C22—41no—
1821C22—42no—
1822C22—816no—
1823C22—832no—
1824C22C2×#52018yes—
1825C22C25×C411yescharacteristic
1826C22C22×H(5,𝔽2)11yescharacteristic
1827C22C22×H(5,𝔽2)11yescharacteristic
1828C22C22×2−1+411yescharacteristic
1829C22C2×#58511yescharacteristic
1830C22H(7,𝔽2)11yescharacteristic
1831C22H(7,𝔽2)11yescharacteristic
1832C4—24no—
1833C4—22no—
1834C4—22no—
1835C4—24no—
1836C4—24no—
1837C4—24no—
1838C4—22no—
1839C4—24no—
1840C4—28no—
1841C4—22no—
1842C4—22no—
1843C4—22no—
1844C4—42no—
1845C4—42no—
1846C4—41no—
1847C4—44no—
1848C4—42no—
1849C4—42no—
1850C4—41no—
1851C4—42no—
1852C4—42no—
1853C4—44no—
1854C4—41no—
1855C4—42no—
1856C4—42no—
1857C4—41no—
1858C4—41no—
1859C4—41no—
1860C4C2×#52014yes—
1861C4C4×H(5,𝔽2)14yes—
1862C2—28no—
1863C2—44no—
1864C2—48no—
1865C2—42no—
1866C2—44no—
1867C2C22×#52011yescharacteristic
1868C2C2×C4×H(5,𝔽2)11yescharacteristic
1869C2#6265211yescharacteristic
1870C2#6291211yescharacteristic
1871C2#6292011yescharacteristic
1872C2#6294411yescharacteristic
1873C2#6295111yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC23C26
commutatorC22C25×C4
prime radicalC2×#3519C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34494C2semidirect
3. #34485C2semidirect
4. #34483C2semidirect
5. #34476C2semidirect
6. #34476C2semidirect
7. #34466C2semidirect
8. #34461C2semidirect
9. #34456C2semidirect
10. #34431C2semidirect
11. #34424C2semidirect
12. #34423C2semidirect
13. #34416C2semidirect
14. #34404C2semidirect
15. #34383C2semidirect
16. #34379C2semidirect
17. #34368C2semidirect
18. #34332C2semidirect
19. #34321C2semidirect
20. #34313C2semidirect
21. #34310C2semidirect
22. #34310C2semidirect
23. #34305C2semidirect
24. #34290C2semidirect
25. #34288C2semidirect
26. #34261C2semidirect
27. #34248C2semidirect
28. #34226C2semidirect
29. #34202C2semidirect
30. #34181C2semidirect
31. C4×#554C2semidirect
32. C4×D42C2semidirect
33. D4×#117C2semidirect
34. #34084C2semidirect
35. C2×#2324C2semidirect
36. #3519C4semidirect
52. C2×#520C22semidirect
58. C22×C4×D4C22semidirect
59. C22×#117C22semidirect
60. #2383C22semidirect
61. #2379C22semidirect
62. #2379C22semidirect
63. #2377C22semidirect
64. #2377C22semidirect
65. #2377C22semidirect
66. #2377C22semidirect
67. #2376C22semidirect
68. #2376C22semidirect
69. #2376C22semidirect
70. #2376C22semidirect
71. #2376C22semidirect
72. #2373C22semidirect
73. #2370C22semidirect
74. #2370C22semidirect
75. #2370C22semidirect
76. #2369C22semidirect
77. #2369C22semidirect
78. #2368C22semidirect
79. #2367C22semidirect
80. #2367C22semidirect
81. #2367C22semidirect
82. #2367C22semidirect
83. #2366C22semidirect
84. #2366C22semidirect
85. #2366C22semidirect
86. #2366C22semidirect
87. #2364C22semidirect
88. #2363C22semidirect
89. #2363C22semidirect
90. #2363C22semidirect
91. #2363C22semidirect
92. #2361C22semidirect
93. #2361C22semidirect
94. #2361C22semidirect
95. #2361C22semidirect
96. #2361C22semidirect
97. #2361C22semidirect
98. #2361C22semidirect
99. #2361C22semidirect
100. #2361C22semidirect
101. #2361C22semidirect
102. #2361C22semidirect
103. #2360C22semidirect
104. #2360C22semidirect
105. #2360C22semidirect
106. #2359C22semidirect
107. #2359C22semidirect
108. #2359C22semidirect
109. #2359C22semidirect
110. #2358C22semidirect
111. #2358C22semidirect
112. #2358C22semidirect
113. #2358C22semidirect
114. #2358C22semidirect
115. #2358C22semidirect
116. #2357C22semidirect
117. #2355C22semidirect
118. #2354C22semidirect
119. #2354C22semidirect
120. #2354C22semidirect
121. #2354C22semidirect
122. #2354C22semidirect
123. #2354C22semidirect
124. #2354C22semidirect
125. #2353C22semidirect
126. #2352C22semidirect
127. #2352C22semidirect
128. #2352C22semidirect
129. #2352C22semidirect
130. #2352C22semidirect
131. Q8×C4⋊C4C22semidirect
134. #2349C22semidirect
135. #2349C22semidirect
136. #2349C22semidirect
137. #2349C22semidirect
138. #2349C22semidirect
139. #2349C22semidirect
145. D4×C4⋊C4C22semidirect
146. D4×C4⋊C4C22semidirect
147. D4×C4⋊C4C22semidirect
148. D4×C4⋊C4C22semidirect
149. D4×C4⋊C4C22semidirect
150. D4×C4⋊C4C22semidirect
151. D4×C4⋊C4C22semidirect
152. D4×C4⋊C4C22semidirect
153. D4×C4⋊C4C22semidirect
154. D4×C4⋊C4C22semidirect
155. #2347C22semidirect
156. #2347C22semidirect
157. #2346C22semidirect
158. #2346C22semidirect
159. #2345C22semidirect
160. #2345C22semidirect
161. #2344C22semidirect
162. #2344C22semidirect
163. #2342C22semidirect
164. #2342C22semidirect
165. #2342C22semidirect
166. #2342C22semidirect
167. #2341C22semidirect
168. #2341C22semidirect
169. #2339C22semidirect
170. #2339C22semidirect
175. D4×C22⋊C4C22semidirect
176. D4×C22⋊C4C22semidirect
177. D4×C22⋊C4C22semidirect
178. D4×C22⋊C4C22semidirect
179. #2337C22semidirect
180. #2335C22semidirect
181. #2335C22semidirect
182. #2335C22semidirect
183. #2335C22semidirect
184. #2334C22semidirect
185. #2334C22semidirect
186. #2334C22semidirect
187. #2334C22semidirect
188. #2334C22semidirect
189. #2330C22semidirect
190. #2330C22semidirect
191. #2330C22semidirect
192. #2329C22semidirect
193. #2328C22semidirect
194. #2326C22semidirect
195. #2326C22semidirect
196. #2326C22semidirect
197. #2325C22semidirect
198. #2325C22semidirect
199. #2325C22semidirect
200. #2325C22semidirect
201. #2325C22semidirect
205. #2324C22semidirect
206. #2324C22semidirect
207. #2324C22semidirect
208. #2324C22semidirect
209. #2324C22semidirect
210. #2324C22semidirect
211. #2324C22semidirect
212. #2324C22semidirect
213. #2324C22semidirect
214. #2324C22semidirect
215. #2324C22semidirect
216. #2324C22semidirect
217. #2324C22semidirect
218. #2324C22semidirect
219. #2324C22semidirect
220. #2324C22semidirect
221. #2324C22semidirect
222. #2324C22semidirect
223. #2323C22semidirect
224. #2323C22semidirect
225. #2323C22semidirect
226. #2322C22semidirect
227. #2322C22semidirect
228. #2321C22semidirect
229. #2321C22semidirect
230. #2321C22semidirect
231. #2321C22semidirect
232. #2319C22semidirect
233. #2319C22semidirect
234. #2319C22semidirect
235. #2318C22semidirect
236. #2318C22semidirect
237. #2317C22semidirect
238. #2317C22semidirect
239. #2317C22semidirect
240. #2316C22semidirect
241. #2315C22semidirect
242. #2315C22semidirect
243. #2315C22semidirect
244. #2314C22semidirect
245. #2312C22semidirect
246. #2311C22semidirect
247. #2311C22semidirect
248. C4×C4⋊Q8C22semidirect
249. C4×C4⋊Q8C22semidirect
250. C4×#127C22semidirect
251. C4×#127C22semidirect
252. C4×#127C22semidirect
253. C4×#125C22semidirect
254. C4×C22⋊Q8C22semidirect
255. C4×C22⋊Q8C22semidirect
256. C4×C22⋊Q8C22semidirect
257. C4×#121C22semidirect
258. C4×#121C22semidirect
259. C4×#121C22semidirect
260. C4×#121C22semidirect
261. C4×#121C22semidirect
262. C4×#120C22semidirect
263. C4×#120C22semidirect
264. #2298C22semidirect
265. #2296C22semidirect
266. #2296C22semidirect
267. #2295C22semidirect
268. #2293C22semidirect
269. #2293C22semidirect
270. #2293C22semidirect
271. #2293C22semidirect
272. #2293C22semidirect
273. C2×#390C22semidirect
274. C2×#390C22semidirect
275. C2×#389C22semidirect
276. #2290C22semidirect
277. #2290C22semidirect
278. #2290C22semidirect
279. #2290C22semidirect
280. C2×#388C22semidirect
281. C2×#386C22semidirect
282. C2×#385C22semidirect
283. C2×#385C22semidirect
284. #2285C22semidirect
285. #2285C22semidirect
286. #2285C22semidirect
287. #2280C22semidirect
288. C2×#380C22semidirect
289. C2×#380C22semidirect
291. #2275C22semidirect
292. #2274C22semidirect
293. C42×Q8C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect
299. C2×C4×C4⋊C4C22semidirect
308. #555C2×C4semidirect
309. #554C2×C4semidirect
310. #553C2×C4semidirect
311. #553C2×C4semidirect
312. #550C2×C4semidirect
313. #546C2×C4semidirect
314. #546C2×C4semidirect
315. D42C2×C4semidirect
316. D42C2×C4semidirect
317. #540C2×C4semidirect
318. #538C2×C4semidirect
319. #532C2×C4semidirect
323. #529C2×C4semidirect
331. #525C2×C4semidirect
339. C2×#121C2×C4semidirect
359. #518C2×C4semidirect
368. C2×C4×D4C2×C4semidirect
840. C2×#41C22×C4semidirect
841. C2×#41C22×C4semidirect
855. C22×D4C22×C4semidirect
875. C23×C4C22×C4semidirect
903. C4⋊Q8C22×C4semidirect
905. #127C22×C4semidirect
906. #126C22×C4semidirect
907. #126C22×C4semidirect
908. #125C22×C4semidirect
909. #125C22×C4semidirect
911. #124C22×C4semidirect
912. #124C22×C4semidirect
913. #123C22×C4semidirect
914. #123C22×C4semidirect
915. #123C22×C4semidirect
916. #123C22×C4semidirect
917. C22⋊Q8C22×C4semidirect
918. C22⋊Q8C22×C4semidirect
919. C22⋊Q8C22×C4semidirect
924. #121C22×C4semidirect
925. #121C22×C4semidirect
926. #121C22×C4semidirect
927. #121C22×C4semidirect
928. #121C22×C4semidirect
929. #121C22×C4semidirect
930. #121C22×C4semidirect
931. #121C22×C4semidirect
932. #121C22×C4semidirect
934. #120C22×C4semidirect
935. #120C22×C4semidirect
941. C4×Q8C22×C4semidirect
981. C4×D4C22×C4semidirect
982. C4×D4C22×C4semidirect
983. C4×D4C22×C4semidirect
984. C4×D4C22×C4semidirect
985. C4×D4C22×C4semidirect
986. C4×D4C22×C4semidirect
987. C4×D4C22×C4semidirect
988. C4×D4C22×C4semidirect
989. C4×D4C22×C4semidirect
990. C4×D4C22×C4semidirect
991. C4×D4C22×C4semidirect
1007. #117C22×C4semidirect
1008. #117C22×C4semidirect
1009. #117C22×C4semidirect
1020. C2×C4⋊C4C22×C4semidirect
1021. C2×C4⋊C4C22×C4semidirect
1091. C2×C22⋊C4C22×C4semidirect
1092. C2×C22⋊C4C22×C4semidirect
1093. C2×C22⋊C4C22×C4semidirect
1160. C2×C42C22×C4semidirect
1670. D4#520semidirect

Maximal subgroups

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

subgroupindex
C2×#35192
#344942
#344852
#344832
#344762
#344662
#344612
#344562
#344312
#344242
#344232
#344162
#344042
#343832
#343792
#343682
#343322
#343212
#343132
#343102
#343052
#342902
#342882
#342612
#342482
#342262
#342022
#341812
C4×#5542
C4×D422
D4×#1172
#340842
C2×#23242