Finite Group Databasebeta

← #7626944

Subgroups — #7626944

Order 512.

8928 conjugacy classes of subgroups.

The subgroup lattice has 1951 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3496C211yesmaximal, characteristic
2#34493C211yesmaximal, characteristic, complemented
3#34480C211yesmaximal, characteristic, complemented
4#34478C212yesmaximal, complemented
5#34476C212yesmaximal, complemented
6#34471C212yesmaximal, complemented
7#34470C214yesmaximal, complemented
8#34460C212yesmaximal, complemented
9#34456C214yesmaximal, complemented
10#34414C212yesmaximal, complemented
11#34410C212yesmaximal, complemented
12#34408C214yesmaximal, complemented
13#34407C214yesmaximal, complemented
14#34393C211yesmaximal, characteristic, complemented
15#34379C212yesmaximal, complemented
16#34368C211yesmaximal, characteristic, complemented
17#34363C212yesmaximal, complemented
18#34316C211yesmaximal, characteristic, complemented
19#34310C211yesmaximal, characteristic, complemented
20#34310C211yesmaximal, characteristic, complemented
21#34308C211yesmaximal, characteristic, complemented
22#34298C212yesmaximal, complemented
23#34292C212yesmaximal, complemented
24#34290C212yesmaximal, complemented
25#34288C212yesmaximal, complemented
26#34258C212yesmaximal, complemented
27#34256C212yesmaximal, complemented
28#34226C211yesmaximal, characteristic, complemented
29#34204C212yesmaximal, complemented
30#34194C211yesmaximal, characteristic, complemented
31C4×#547C211yesmaximal, characteristic, complemented
32C4×D42C211yesmaximal, characteristic, complemented
33D4×#117C211yesmaximal, characteristic, complemented
34#34086C211yesmaximal, characteristic, complemented
35C2×#2324C212yesmaximal, complemented
36C22×H(5,𝔽2)C2212yes—
37#3496C4132yescomplemented
38C2×#547C2211yescharacteristic
39C2×#547C2211yescharacteristic
40C2×#547C2212yes—
41C2×#546C2214yes—
42C2×#546C2212yes—
43C2×#546C2212yes—
44C2×D42C2211yescharacteristic
45C2×D42C2211yescharacteristic
46C2×D42C2212yes—
47C2×#537C2212yes—
48C2×#534C2214yes—
49C2×#532C2211yescharacteristic
50C2×#532C2211yescharacteristic
51C22×#121C2212yes—
52C22×#121C2212yes—
53C2×#520C2212yescomplemented
54C2×#518C2212yescomplemented
55C2×#518C2212yescomplemented
56C2×C4×#41C2212yescomplemented
57C22×C4×D4C2211yescharacteristic
58C22×C4×D4C2212yescomplemented
59C22×C4×D4C2212yescomplemented
60C22×#117C2212yescomplemented
61#2379C2214yescomplemented
62#2378C2214yescomplemented
63#2377C2214yescomplemented
64#2377C2214yescomplemented
65#2377C2214yescomplemented
66#2377C2214yescomplemented
67#2377C2214yescomplemented
68#2377C2214yescomplemented
69#2376C2214yescomplemented
70#2376C2214yescomplemented
71#2375C2214yescomplemented
72#2375C2214yescomplemented
73#2374C2214yescomplemented
74#2374C2214yescomplemented
75#2369C2212yescomplemented
76#2368C2214yescomplemented
77#2367C2212yescomplemented
78#2367C2212yescomplemented
79#2366C2211yescharacteristic, complemented
80#2366C2212yescomplemented
81#2366C2211yescharacteristic, complemented
82#2365C2211yescharacteristic, complemented
83#2365C2211yescharacteristic, complemented
84#2364C2214yescomplemented
85#2363C2212yescomplemented
86#2363C2212yescomplemented
87#2363C2212yescomplemented
88#2363C2212yescomplemented
89#2363C2212yescomplemented
90#2363C2212yescomplemented
91#2363C2214yescomplemented
92#2363C2212yescomplemented
93#2363C2214yescomplemented
94#2363C2212yescomplemented
95#2362C2212yescomplemented
96#2362C2212yescomplemented
97#2361C2212yescomplemented
98#2361C2212yescomplemented
99#2361C2212yescomplemented
100#2361C2212yescomplemented
101#2361C2212yescomplemented
102#2361C2212yescomplemented
103#2361C2214yescomplemented
104#2361C2214yescomplemented
105#2360C2212yescomplemented
106#2360C2212yescomplemented
107#2359C2214yescomplemented
108#2359C2214yescomplemented
109#2359C2214yescomplemented
110#2359C2214yescomplemented
111#2358C2214yescomplemented
112#2358C2214yescomplemented
113#2358C2214yescomplemented
114#2358C2214yescomplemented
115#2358C2214yescomplemented
116#2358C2214yescomplemented
117#2357C2212yescomplemented
118#2357C2212yescomplemented
119#2354C2211yescharacteristic, complemented
120#2354C2211yescharacteristic, complemented
121#2354C2211yescharacteristic, complemented
122#2354C2211yescharacteristic, complemented
123#2354C2212yescomplemented
124#2354C2211yescharacteristic, complemented
125#2354C2211yescharacteristic, complemented
126#2352C2212yescomplemented
127#2352C2212yescomplemented
128#2352C2212yescomplemented
129#2352C2212yescomplemented
130#2349C2212yescomplemented
131#2349C2212yescomplemented
132D4×C4⋊C4C2211yescharacteristic, complemented
133D4×C4⋊C4C2211yescharacteristic, complemented
134D4×C4⋊C4C2211yescharacteristic, complemented
135D4×C4⋊C4C2211yescharacteristic, complemented
136D4×C4⋊C4C2212yescomplemented
137D4×C4⋊C4C2211yescharacteristic, complemented
138D4×C4⋊C4C2211yescharacteristic, complemented
139#2345C2212yescomplemented
140#2345C2212yescomplemented
141#2345C2212yescomplemented
142#2344C2212yescomplemented
143#2344C2212yescomplemented
144#2344C2211yescharacteristic, complemented
145#2344C2211yescharacteristic, complemented
146#2342C2214yescomplemented
147#2342C2214yescomplemented
148#2342C2212yescomplemented
149#2342C2212yescomplemented
150#2342C2214yescomplemented
151#2342C2214yescomplemented
152#2342C2214yescomplemented
153#2341C2212yescomplemented
154#2341C2212yescomplemented
155#2341C2212yescomplemented
156#2341C2212yescomplemented
157#2339C2212yescomplemented
158#2339C2212yescomplemented
159#2339C2212yescomplemented
160#2339C2212yescomplemented
161#2339C2214yescomplemented
162#2339C2214yescomplemented
163D4×C22⋊C4C2211yescharacteristic
164D4×C22⋊C4C2211yescharacteristic
165D4×C22⋊C4C2212yes—
166D4×C22⋊C4C2212yescomplemented
167D4×C22⋊C4C2212yescomplemented
168D4×C22⋊C4C2212yescomplemented
169D4×C22⋊C4C2212yescomplemented
170D4×C22⋊C4C2212yescomplemented
171D4×C22⋊C4C2214yescomplemented
172D4×C22⋊C4C2214yescomplemented
173D4×C22⋊C4C2212yescomplemented
174D4×C22⋊C4C2214yescomplemented
175D4×C22⋊C4C2214yescomplemented
176D4×C22⋊C4C2212yescomplemented
177D4×C22⋊C4C2214yescomplemented
178D4×C22⋊C4C2214yescomplemented
179D4×C22⋊C4C2212yescomplemented
180#2337C2212yescomplemented
181#2337C2212yescomplemented
182#2335C2214yescomplemented
183#2335C2214yescomplemented
184#2335C2214yescomplemented
185#2335C2214yescomplemented
186#2333C2212yescomplemented
187#2333C2212yescomplemented
188#2333C2214yescomplemented
189#2333C2214yescomplemented
190#2333C2214yescomplemented
191#2332C2214yescomplemented
192#2331C2211yescharacteristic, complemented
193#2331C2211yescharacteristic, complemented
194#2329C2214yescomplemented
195#2328C2211yescharacteristic, complemented
196#2328C2211yescharacteristic, complemented
197#2326C2212yescomplemented
198#2326C2212yescomplemented
199#2325C2214yescomplemented
200#2325C2214yescomplemented
201#2325C2214yescomplemented
202#2324C2212yescomplemented
203#2324C2212yescomplemented
204#2324C2212yescomplemented
205#2324C2211yescharacteristic, complemented
206#2324C2212yescomplemented
207#2324C2212yescomplemented
208#2324C2214yescomplemented
209#2324C2214yescomplemented
210#2324C2214yescomplemented
211#2324C2212yescomplemented
212#2324C2212yescomplemented
213#2324C2214yescomplemented
214#2324C2212yescomplemented
215#2324C2211yescharacteristic, complemented
216#2324C2211yescharacteristic, complemented
217#2324C2211yescharacteristic, complemented
218#2324C2212yescomplemented
219#2324C2212yescomplemented
220#2324C2212yescomplemented
221#2324C2214yescomplemented
222#2324C2212yescomplemented
223#2323C2212yescomplemented
224#2323C2212yescomplemented
225#2322C2214yescomplemented
226#2322C2214yescomplemented
227#2321C2214yescomplemented
228#2321C2214yescomplemented
229#2321C2214yescomplemented
230#2321C2214yescomplemented
231#2321C2214yescomplemented
232#2321C2214yescomplemented
233#2319C2212yescomplemented
234#2319C2212yescomplemented
235#2318C2214yescomplemented
236#2318C2214yescomplemented
237#2316C2212yescomplemented
238#2315C2214yescomplemented
239#2312C2214yescomplemented
240#2311C2212yescomplemented
241#2311C2212yescomplemented
242#2311C2214yescomplemented
243#2311C2212yescomplemented
244#2309C2214yescomplemented
245#2309C2212yescomplemented
246#2309C2212yescomplemented
247#2308C2214yescomplemented
248#2308C2214yescomplemented
249C4×C4⋊Q8C2211yescharacteristic, complemented
250C4×C4⋊Q8C2211yescharacteristic, complemented
251C4×#127C2211yescharacteristic, complemented
252C4×#127C2211yescharacteristic, complemented
253C4×C22⋊Q8C2212yescomplemented
254C4×C22⋊Q8C2212yescomplemented
255C4×#123C2214yescomplemented
256C4×#123C2214yescomplemented
257C4×#121C2212yescomplemented
258C4×#121C2212yescomplemented
259C4×#121C2212yescomplemented
260C4×#121C2212yescomplemented
261C4×#121C2212yescomplemented
262C4×#121C2212yescomplemented
263C4×#120C2214yescomplemented
264C4×#120C2214yescomplemented
265#2297C2212yescomplemented
266#2297C2212yescomplemented
267#2297C2212yescomplemented
268#2297C2214yescomplemented
269#2293C2211yescharacteristic, complemented
270#2293C2211yescharacteristic, complemented
271#2293C2211yescharacteristic, complemented
272#2293C2211yescharacteristic, complemented
273C2×#390C2212yescomplemented
274C2×#390C2212yescomplemented
275C2×#390C2214yescomplemented
276C2×#389C2212yescomplemented
277#2290C2212yescomplemented
278#2290C2212yescomplemented
279#2290C2212yescomplemented
280#2290C2212yescomplemented
281C2×#388C2214yescomplemented
282C2×#386C2214yescomplemented
283C2×#386C2214yescomplemented
284C2×#385C2214yescomplemented
285#2285C2211yescharacteristic, complemented
286#2285C2211yescharacteristic, complemented
287#2283C2211yescharacteristic, complemented
288#2280C2212yescomplemented
289#2280C2212yescomplemented
290C2×#380C2212yescomplemented
291#2275C2212yescomplemented
292#2275C2212yescomplemented
293#2274C2212yescomplemented
294C42×D4C2211yescharacteristic, complemented
295C42×D4C2211yescharacteristic, complemented
296C42×D4C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C2×C4×C4⋊C4C2212yescomplemented
300C2×H(5,𝔽2)—48no—
301C2×H(5,𝔽2)—48no—
302C2×H(5,𝔽2)C2×C4132yescomplemented
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2314yes—
306C22×#41C2312yes—
307C22×#41C2312yes—
308C23×D4C2311yescharacteristic
309C23×D4C2312yes—
310C23×D4C2312yes—
311C23×D4C2314yes—
312C23×D4C2314yes—
313C23×D4C2312yes—
314C23×D4C2312yes—
315C23×D4C2314yes—
316C24×C4C2314yes—
317C24×C4C2312yes—
318#547C2×C4116yescomplemented
319#547C2×C4116yescomplemented
320#547C2×C4132yescomplemented
321#546C2×C4132yescomplemented
322#546C2×C4164yescomplemented
323#546C2×C4132yescomplemented
324D42C2×C4116yescomplemented
325D42C2×C4132yescomplemented
326D42C2×C4116yescomplemented
327#537C2×C4132yescomplemented
328#534C2×C4164yescomplemented
329#532C2×C4116yescomplemented
330#532C2×C4116yescomplemented
331C2×C4⋊Q8C2311yescharacteristic
332C2×C4⋊Q8C2311yescharacteristic
333C2×#127C2311yescharacteristic
334C2×#127C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×#121C2×C4132yescomplemented
345C2×#121C2×C4132yescomplemented
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366#520—48no—
367#518—48no—
368#518—48no—
369C4×#41—48no—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×D4—48no—
375C2×C4×D4—48no—
376C2×C4×D4C2×C4116yescomplemented
377C2×C4×D4C2312yes—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2314yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2312yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×#117—48no—
424C2×#117C2311yescharacteristic
425C2×#117C2312yes—
426C2×#117C2314yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2314yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2311yescharacteristic
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2314yes—
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2312yes—
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2312yes—
452C22×C22⋊C4C2314yes—
453C22×C22⋊C4C2314yes—
454C22×C22⋊C4C2314yes—
455C22×C22⋊C4C2314yes—
456C22×C22⋊C4C2314yes—
457C22×C22⋊C4C2312yes—
458C22×C22⋊C4C2312yes—
459C22×C22⋊C4C2314yes—
460C22×C22⋊C4C2314yes—
461C22×C22⋊C4C2314yes—
462C22×C22⋊C4C2314yes—
463C22×C22⋊C4C2314yes—
464C22×C22⋊C4C2314yes—
465C22×C22⋊C4C2312yes—
466C22×C22⋊C4C2314yes—
467C22×C42C2312yes—
468C22×C42C2312yes—
469C22×C42C2312yes—
470C22×C42C2314yes—
471C22×C42C2312yes—
472C22×C42C2311yescharacteristic
473#391C2312yes—
474#391C2312yes—
475#391C2312yes—
476#391C2314yes—
477#391C2312yes—
478#391C2314yes—
479#391C2312yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#390C2312yes—
484#390C2312yes—
485#390C2312yes—
486#390C2312yes—
487#390C2312yes—
488#390C2312yes—
489#390C2311yescharacteristic
490#390C2312yes—
491#390C2311yescharacteristic
492#390C2314yes—
493#390C2314yes—
494#390C2314yes—
495#390C2314yes—
496#390C2312yes—
497#390C2314yes—
498#390C2314yes—
499#390C2314yes—
500#390C2314yes—
501#390C2314yes—
502#390C2314yes—
503#390C2312yes—
504#390C2312yes—
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2312yes—
508#390C2314yes—
509#390C2314yes—
510#390C2314yes—
511#390C2314yes—
512#390C2311yescharacteristic
513#390C2312yes—
514#390C2314yes—
515#390C2314yes—
516#390C2314yes—
517#390C2314yes—
518#390C2312yes—
519#390C2312yes—
520#390C2314yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2311yescharacteristic
524#390C2312yes—
525#390C2312yes—
526#390C2311yescharacteristic
527#390C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2312yes—
546#389C2314yes—
547#389C2311yescharacteristic
548#389C2311yescharacteristic
549#389C2311yescharacteristic
550#389C2311yescharacteristic
551#388C2312yes—
552#388C2314yes—
553#388C2314yes—
554#388C2314yes—
555#388C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2312yes—
570#388C2312yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2312yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#387C2314yes—
600#387C2314yes—
601#387C2314yes—
602#387C2314yes—
603#387C2312yes—
604#387C2314yes—
605#387C2314yes—
606#387C2314yes—
607#387C2314yes—
608#387C2312yes—
609#387C2314yes—
610#387C2314yes—
611#387C2312yes—
612#387C2314yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2314yes—
619#386C2312yes—
620#386C2312yes—
621#386C2312yes—
622#386C2314yes—
623#386C2314yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2314yes—
628#386C2314yes—
629#386C2314yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2312yes—
635#386C2314yes—
636#386C2314yes—
637#386C2314yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2312yes—
644#386C2314yes—
645#386C2314yes—
646#386C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2312yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2312yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2312yes—
664#386C2312yes—
665#386C2312yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2314yes—
670#386C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2312yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2312yes—
687#385C2314yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#383C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2311yescharacteristic
707#382C2311yescharacteristic
708#381C2314yes—
709#381C2314yes—
710#381C2314yes—
711#381C2314yes—
712#381C2314yes—
713#381C2312yes—
714#381C2312yes—
715#381C2312yes—
716#380C2311yescharacteristic
717#380C2312yes—
718#380C2311yescharacteristic
719#380C2314yes—
720#380C2314yes—
721#380C2314yes—
722#380C2314yes—
723#380C2314yes—
724#380C2314yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#380C2312yes—
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#379C2312yes—
744#379C2314yes—
745#379C2314yes—
746#379C2314yes—
747#379C2314yes—
748#379C2312yes—
749#379C2314yes—
750#379C2314yes—
751#379C2314yes—
752C4×C4⋊C4C2312yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C22⋊C4C2314yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2312yes—
822C4×C22⋊C4C2312yes—
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2314yes—
827#376C2311yescharacteristic
828#376C2312yes—
829#376C2311yescharacteristic
830C2×#95C2314yes—
831C2×#95C2314yes—
832C2×#95C2314yes—
833C2×#95C2314yes—
834C2×#95C2314yes—
835C43C2311yescharacteristic
836C43C2311yescharacteristic
837C25C2414yes—
838C25C2412yes—
839C25C2414yes—
840H(5,𝔽2)—4128no—
841C2×#41—28no—
842C2×#41—28no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—48no—
846C2×#41—48no—
847C2×#41—44no—
848C2×#41—44no—
849C2×#41—44no—
850C2×#41—44no—
851C2×#41C22×C4116yes—
852C2×#41C22×C4116yescomplemented
853C2×#41C22×C4116yescomplemented
854C2×#41C22×C4132yescomplemented
855C2×#41C22×C4116yescomplemented
856C22×Q8C2412yes—
857C22×Q8C2412yes—
858C22×D4—28no—
859C22×D4—28no—
860C22×D4—24no—
861C22×D4—24no—
862C22×D4—44no—
863C22×D4—44no—
864C22×D4—44no—
865C22×D4—44no—
866C22×D4—44no—
867C22×D4—44no—
868C22×D4—48no—
869C22×D4—48no—
870C22×D4—48no—
871C22×D4—48no—
872C22×D4—48no—
873C22×D4—48no—
874C22×D4C22×C418yes—
875C22×D4C22×C4116yes—
876C22×D4C22×C4116yes—
877C22×D4C22×C4132yescomplemented
878C22×D4C22×C4132yescomplemented
879C22×D4C22×C4116yescomplemented
880C22×D4C22×C4116yescomplemented
881C22×D4C22×C4132yescomplemented
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2411yescharacteristic
901C23×C4—44no—
902C23×C4—44no—
903C23×C4—48no—
904C23×C4—48no—
905C23×C4—84no—
906C23×C4C22×C4116yescomplemented
907C23×C4C2412yes—
908C23×C4C2412yes—
909C23×C4C2414yes—
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2414yes—
918C23×C4C2412yes—
919C23×C4C2414yes—
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2412yes—
923C23×C4C2414yes—
924C23×C4C2414yes—
925C23×C4C2414yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2414yes—
929C23×C4C2414yes—
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2411yescharacteristic
933C23×C4C2412yes—
934C23×C4C2414yes—
935C23×C4C2414yes—
936C4⋊Q8C22×C418yescomplemented
937C4⋊Q8C22×C418yescomplemented
938#127C22×C418yes—
939#127C22×C418yes—
940#124C22×C4116yescomplemented
941#124C22×C4116yescomplemented
942#123C22×C4132yescomplemented
943#123C22×C4132yescomplemented
944#123C22×C4132yescomplemented
945#123C22×C4132yescomplemented
946C22⋊Q8C22×C4132yescomplemented
947C22⋊Q8C22×C4116yescomplemented
948C22⋊Q8C22×C4116yescomplemented
949#121C22×C418yes—
950#121C22×C4116yes—
951#121C22×C4116yes—
952#121C22×C4116yes—
953#121C22×C418yescomplemented
954#121C22×C4116yescomplemented
955#121C22×C4132yescomplemented
956#121C22×C4132yescomplemented
957#121C22×C4116yescomplemented
958#121C22×C4116yescomplemented
959#121C22×C4132yescomplemented
960#121C22×C4132yescomplemented
961#121C22×C4116yescomplemented
962#121C22×C4116yescomplemented
963#121C22×C4132yescomplemented
964#121C22×C4116yescomplemented
965#120C22×C4132yes—
966#120C22×C4132yescomplemented
967#120C22×C4132yescomplemented
968#120C22×C4132yescomplemented
969C4×Q8—44no—
970C4×Q8—44no—
971C4×Q8—44no—
972C4×Q8—44no—
973C4×D4—24no—
974C4×D4—28no—
975C4×D4—24no—
976C4×D4—28no—
977C4×D4—24no—
978C4×D4—24no—
979C4×D4—24no—
980C4×D4—28no—
981C4×D4—24no—
982C4×D4—48no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—42no—
988C4×D4—44no—
989C4×D4—42no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—48no—
995C4×D4—48no—
996C4×D4—48no—
997C4×D4—48no—
998C4×D4—48no—
999C4×D4—48no—
1000C4×D4—48no—
1001C4×D4—48no—
1002C4×D4—48no—
1003C4×D4—48no—
1004C4×D4—48no—
1005C4×D4—84no—
1006C4×D4—82no—
1007C4×D4—82no—
1008C4×D4C22×C418yes—
1009C4×D4C22×C418yes—
1010C4×D4C22×C418yes—
1011C4×D4C22×C418yescomplemented
1012C4×D4C22×C4116yescomplemented
1013C4×D4C22×C418yescomplemented
1014C4×D4C22×C4116yescomplemented
1015C4×D4C22×C418yescomplemented
1016C4×D4C22×C4116yescomplemented
1017C4×D4C22×C4116yescomplemented
1018C4×D4C22×C4116yescomplemented
1019#117—24no—
1020#117—28no—
1021#117—44no—
1022#117—44no—
1023#117—42no—
1024#117—44no—
1025#117—44no—
1026#117—44no—
1027#117—44no—
1028#117—44no—
1029#117—44no—
1030#117—48no—
1031#117—48no—
1032#117—44no—
1033#117—44no—
1034#117—44no—
1035#117—44no—
1036#117—82no—
1037C2×C4⋊C4—44no—
1038C2×C4⋊C4—44no—
1039C2×C4⋊C4—44no—
1040C2×C4⋊C4—44no—
1041C2×C4⋊C4—44no—
1042C2×C4⋊C4—44no—
1043C2×C4⋊C4—48no—
1044C2×C4⋊C4C22×C418yescomplemented
1045C2×C4⋊C4C22×C4116yescomplemented
1046C2×C4⋊C4C22×C4116yescomplemented
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C22⋊C4—44no—
1096C2×C22⋊C4—44no—
1097C2×C22⋊C4—48no—
1098C2×C22⋊C4—48no—
1099C2×C22⋊C4—48no—
1100C2×C22⋊C4—48no—
1101C2×C22⋊C4—48no—
1102C2×C22⋊C4—48no—
1103C2×C22⋊C4—84no—
1104C2×C22⋊C4—84no—
1105C2×C22⋊C4—84no—
1106C2×C22⋊C4—84no—
1107C2×C22⋊C4C22×C4116yescomplemented
1108C2×C22⋊C4C22×C4132yescomplemented
1109C2×C22⋊C4C22×C4132yescomplemented
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C42—28no—
1182C2×C42—44no—
1183C2×C42—44no—
1184C2×C42—44no—
1185C2×C42—48no—
1186C2×C42C22×C418yescomplemented
1187C2×C42C2411yescharacteristic
1188C2×C42C2411yescharacteristic
1189C2×C42C2412yes—
1190C2×C42C2412yes—
1191C2×C42C2412yes—
1192C2×C42C2412yes—
1193C2×C42C2411yescharacteristic
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2412yes—
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2414yes—
1204C2×C42C2414yes—
1205C2×C42C2414yes—
1206C2×C42C2414yes—
1207C2×C42C2414yes—
1208C2×C42C2414yes—
1209C2×C42C2414yes—
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2412yes—
1213C2×C42C2412yes—
1214C2×C42C2414yes—
1215C2×C42C2414yes—
1216C2×C42C2411yescharacteristic
1217C2×C42C2411yescharacteristic
1218C2×C42C2412yes—
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222C2×C42C2411yescharacteristic
1223C2×C42C2411yescharacteristic
1224#95C2411yescharacteristic
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2411yescharacteristic
1243#95C2411yescharacteristic
1244#95C2411yescharacteristic
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2411yescharacteristic
1249#95C2411yescharacteristic
1250#95C2411yescharacteristic
1251#95C2411yescharacteristic
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2412yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2414yes—
1278C24—28no—
1279C24—28no—
1280C24—24no—
1281C24—24no—
1282C24—42no—
1283C24—44no—
1284C24—42no—
1285C24—44no—
1286C24—42no—
1287C24—44no—
1288C24—42no—
1289C24—44no—
1290C24—44no—
1291C24—44no—
1292C24—44no—
1293C24—44no—
1294C24—44no—
1295C24—44no—
1296C24C23×C4116yes—
1297C24C23×C418yes—
1298C24C23×C4116yes—
1299C24C2512yes—
1300C24C2511yescharacteristic
1301C24C2512yes—
1302C24C2512yes—
1303C24C2514yes—
1304C24C2512yes—
1305#41—264no—
1306#41—432no—
1307#41—464no—
1308#41—432no—
1309#41—432no—
1310C2×Q8—24no—
1311C2×Q8—24no—
1312C2×Q8—42no—
1313C2×Q8—42no—
1314C2×Q8C23×C418yes—
1315C2×Q8C23×C418yes—
1316C2×D4—28no—
1317C2×D4—28no—
1318C2×D4—28no—
1319C2×D4—28no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—264no—
1323C2×D4—232no—
1324C2×D4—22no—
1325C2×D4—24no—
1326C2×D4—22no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—24no—
1333C2×D4—22no—
1334C2×D4—432no—
1335C2×D4—432no—
1336C2×D4—432no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—44no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—464no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—42no—
1357C2×D4—42no—
1358C2×D4—464no—
1359C2×D4—464no—
1360C2×D4C23×C414yes—
1361C2×D4C23×C418yes—
1362C2×D4C23×C414yes—
1363C2×D4C23×C418yes—
1364C2×D4C23×C414yes—
1365C2×D4C23×C4116yes—
1366C2×D4C23×C4116yes—
1367C2×D4C23×C418yes—
1368C2×D4C23×C418yes—
1369C2×D4C23×C418yes—
1370C2×D4C23×C4116yes—
1371C2×D4C23×C4116yes—
1372C2×D4C23×C4116yes—
1373C2×D4C23×C4116yes—
1374C2×D4C23×C418yes—
1375C2×D4C23×C418yes—
1376C2×D4C23×C4116yes—
1377C2×D4C23×C418yes—
1378C2×D4C23×C414yes—
1379C2×D4H(5,𝔽2)14yes—
1380C2×D4H(5,𝔽2)14yes—
1381C22×C4—28no—
1382C22×C4—28no—
1383C22×C4—24no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—22no—
1391C22×C4—22no—
1392C22×C4—24no—
1393C22×C4—22no—
1394C22×C4—24no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—28no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—28no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—28no—
1406C22×C4—432no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—42no—
1411C22×C4—41no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—42no—
1416C22×C4—42no—
1417C22×C4—41no—
1418C22×C4—42no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—42no—
1424C22×C4—42no—
1425C22×C4—42no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—44no—
1438C22×C4—44no—
1439C22×C4—44no—
1440C22×C4—42no—
1441C22×C4—42no—
1442C22×C4—44no—
1443C22×C4—44no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—832no—
1457C22×C4C23×C414yes—
1458C22×C4C23×C414yes—
1459C22×C4C23×C4116yes—
1460C22×C4C23×C418yes—
1461C22×C4C23×C418yes—
1462C22×C4C23×C418yes—
1463C22×C4C23×C418yes—
1464C22×C4C23×C414yes—
1465C22×C4C23×C418yes—
1466C22×C4C23×C418yes—
1467C22×C4C23×C418yes—
1468C22×C4C23×C4116yes—
1469C22×C4C23×C4116yes—
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C22×C4C2512yes—
1473C22×C4C2512yes—
1474C22×C4C2512yes—
1475C22×C4C2512yes—
1476C22×C4C2512yes—
1477C22×C4C2512yes—
1478C22×C4C2511yescharacteristic
1479C22×C4C2511yescharacteristic
1480C22×C4C2511yescharacteristic
1481C22×C4C2514yes—
1482C22×C4C2514yes—
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2511yescharacteristic
1486C22×C4C2511yescharacteristic
1487C22×C4C2511yescharacteristic
1488C22×C4C2511yescharacteristic
1489C22×C4C2512yes—
1490C22×C4C2512yes—
1491C22×C4C2512yes—
1492C22×C4C2512yes—
1493C22×C4C2514yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2511yescharacteristic
1496C22×C4C2511yescharacteristic
1497C22×C4C2511yescharacteristic
1498C22×C4C2511yescharacteristic
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—24no—
1504C4⋊C4—22no—
1505C4⋊C4—24no—
1506C4⋊C4—24no—
1507C4⋊C4—24no—
1508C4⋊C4—22no—
1509C4⋊C4—22no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—24no—
1514C4⋊C4—22no—
1515C4⋊C4—42no—
1516C4⋊C4—44no—
1517C4⋊C4—44no—
1518C4⋊C4—42no—
1519C4⋊C4—42no—
1520C4⋊C4—42no—
1521C4⋊C4—42no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—44no—
1525C4⋊C4—44no—
1526C4⋊C4—42no—
1527C4⋊C4—41no—
1528C4⋊C4—41no—
1529C4⋊C4—42no—
1530C4⋊C4—42no—
1531C4⋊C4—42no—
1532C4⋊C4—44no—
1533C4⋊C4—44no—
1534C4⋊C4—42no—
1535C4⋊C4—42no—
1536C4⋊C4—42no—
1537C4⋊C4C23×C414yes—
1538C4⋊C4C23×C414yes—
1539C4⋊C4C23×C418yes—
1540C4⋊C4C23×C414yes—
1541C4⋊C4C23×C414yes—
1542C4⋊C4C23×C418yes—
1543C4⋊C4C23×C4116yes—
1544C4⋊C4C23×C4116yes—
1545C4⋊C4C23×C418yes—
1546C4⋊C4C23×C418yes—
1547C22⋊C4—24no—
1548C22⋊C4—24no—
1549C22⋊C4—28no—
1550C22⋊C4—28no—
1551C22⋊C4—24no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—22no—
1556C22⋊C4—22no—
1557C22⋊C4—24no—
1558C22⋊C4—28no—
1559C22⋊C4—24no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—42no—
1577C22⋊C4—42no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—42no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—44no—
1594C22⋊C4—42no—
1595C22⋊C4—41no—
1596C22⋊C4—41no—
1597C22⋊C4—44no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4C23×C418yes—
1605C22⋊C4C23×C418yes—
1606C22⋊C4C23×C4116yes—
1607C22⋊C4C23×C418yes—
1608C22⋊C4C23×C418yes—
1609C22⋊C4C23×C418yes—
1610C22⋊C4C23×C418yes—
1611C22⋊C4C23×C4116yes—
1612C22⋊C4C23×C4116yes—
1613C22⋊C4C23×C4116yes—
1614C22⋊C4C23×C4116yes—
1615C22⋊C4C23×C418yes—
1616C22⋊C4C23×C418yes—
1617C22⋊C4C23×C4116yes—
1618C42—24no—
1619C42—24no—
1620C42—24no—
1621C42—22no—
1622C42—22no—
1623C42—22no—
1624C42—24no—
1625C42—24no—
1626C42—24no—
1627C42—22no—
1628C42—22no—
1629C42—22no—
1630C42—22no—
1631C42—42no—
1632C42—42no—
1633C42—42no—
1634C42—42no—
1635C42—44no—
1636C42—42no—
1637C42—42no—
1638C42—44no—
1639C42—44no—
1640C42—41no—
1641C42—41no—
1642C42—44no—
1643C42—44no—
1644C42—44no—
1645C42—44no—
1646C42—44no—
1647C42—44no—
1648C42—41no—
1649C42—41no—
1650C42C23×C414yes—
1651C42C23×C414yes—
1652C42C23×C414yes—
1653C42C23×C414yes—
1654C42H(5,𝔽2)14yescomplemented
1655C23—22no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—21no—
1660C23—22no—
1661C23—22no—
1662C23—24no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—24no—
1668C23—24no—
1669C23—22no—
1670C23—21no—
1671C23—21no—
1672C23—22no—
1673C23—22no—
1674C23—21no—
1675C23—22no—
1676C23—22no—
1677C23—24no—
1678C23—22no—
1679C23—21no—
1680C23—22no—
1681C23—22no—
1682C23—24no—
1683C23—22no—
1684C23—21no—
1685C23—22no—
1686C23—22no—
1687C23—24no—
1688C23—22no—
1689C23—216no—
1690C23—232no—
1691C23—48no—
1692C23—416no—
1693C23—48no—
1694C23—416no—
1695C23—416no—
1696C23—416no—
1697C23—416no—
1698C23—88no—
1699C23—84no—
1700C23—88no—
1701C23—84no—
1702C23—88no—
1703C23—84no—
1704C23—88no—
1705C23—84no—
1706C23—164no—
1707C23—164no—
1708C23—164no—
1709C23—164no—
1710C23C24×C414yes—
1711C23C24×C414yes—
1712C23C24×C418yes—
1713C23C24×C414yes—
1714C23C24×C412yes—
1715C23C24×C414yes—
1716C23C2×H(5,𝔽2)14yes—
1717C23C2×H(5,𝔽2)14yes—
1718C23C2611yescharacteristic
1719Q8—216no—
1720Q8—48no—
1721D4—216no—
1722D4—232no—
1723D4—232no—
1724D4—28no—
1725D4—216no—
1726D4—28no—
1727D4—216no—
1728D4—28no—
1729D4—48no—
1730D4—416no—
1731D4—48no—
1732D4—48no—
1733D4—416no—
1734D4—416no—
1735D4—416no—
1736D4—416no—
1737D4—48no—
1738D4—48no—
1739D4#518116yescomplemented
1740C2×C4—22no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—24no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—232no—
1763C2×C4—216no—
1764C2×C4—28no—
1765C2×C4—216no—
1766C2×C4—28no—
1767C2×C4—216no—
1768C2×C4—216no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—24no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—24no—
1791C2×C4—24no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—24no—
1800C2×C4—22no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—24no—
1804C2×C4—21no—
1805C2×C4—24no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—48no—
1818C2×C4—48no—
1819C2×C4—48no—
1820C2×C4—44no—
1821C2×C4—416no—
1822C2×C4—416no—
1823C2×C4—48no—
1824C2×C4—48no—
1825C2×C4—48no—
1826C2×C4—84no—
1827C2×C4—88no—
1828C2×C4—84no—
1829C2×C4—84no—
1830C2×C4—88no—
1831C2×C4—88no—
1832C2×C4—84no—
1833C2×C4—84no—
1834C2×C4—88no—
1835C2×C4—88no—
1836C2×C4—164no—
1837C2×C4—164no—
1838C2×C4—164no—
1839C2×C4C24×C412yes—
1840C2×C4C24×C412yes—
1841C2×C4C24×C412yes—
1842C2×C4C24×C412yes—
1843C2×C4C24×C414yes—
1844C2×C4C24×C414yes—
1845C2×C4C24×C414yes—
1846C2×C4C24×C414yes—
1847C2×C4C24×C418yes—
1848C2×C4C24×C412yes—
1849C2×C4C24×C412yes—
1850C2×C4C2×H(5,𝔽2)12yes—
1851C2×C4C2×H(5,𝔽2)12yes—
1852C2×C4C2×H(5,𝔽2)12yes—
1853C2×C4C2×H(5,𝔽2)12yes—
1854C2×C4C2×H(5,𝔽2)12yes—
1855C2×C4#58512yes—
1856C22—24no—
1857C22—24no—
1858C22—24no—
1859C22—24no—
1860C22—24no—
1861C22—24no—
1862C22—24no—
1863C22—22no—
1864C22—24no—
1865C22—24no—
1866C22—28no—
1867C22—22no—
1868C22—24no—
1869C22—24no—
1870C22—28no—
1871C22—24no—
1872C22—22no—
1873C22—24no—
1874C22—28no—
1875C22—24no—
1876C22—24no—
1877C22—42no—
1878C22—44no—
1879C22—42no—
1880C22—41no—
1881C22—42no—
1882C22—42no—
1883C22—44no—
1884C22—41no—
1885C22—42no—
1886C22—42no—
1887C22—42no—
1888C22—44no—
1889C22—42no—
1890C22—41no—
1891C22—42no—
1892C22—42no—
1893C22—41no—
1894C22—44no—
1895C22—42no—
1896C22—42no—
1897C22—832no—
1898C22—816no—
1899C22—1616no—
1900C22C2×#51818yes—
1901C22C25×C411yescharacteristic
1902C22C22×H(5,𝔽2)11yescharacteristic
1903C22C22×H(5,𝔽2)11yescharacteristic
1904C22C22×H(5,𝔽2)11yescharacteristic
1905C22C2×#58511yescharacteristic
1906C22H(7,𝔽2)11yescharacteristic
1907C222−1+611yescharacteristic
1908C4—24no—
1909C4—22no—
1910C4—24no—
1911C4—28no—
1912C4—22no—
1913C4—24no—
1914C4—24no—
1915C4—22no—
1916C4—22no—
1917C4—22no—
1918C4—22no—
1919C4—42no—
1920C4—42no—
1921C4—41no—
1922C4—44no—
1923C4—42no—
1924C4—42no—
1925C4—41no—
1926C4—42no—
1927C4—42no—
1928C4—41no—
1929C4—42no—
1930C4—44no—
1931C4—41no—
1932C4—41no—
1933C4—42no—
1934C4—41no—
1935C4C2×#51814yes—
1936C4C4×H(5,𝔽2)14yes—
1937C2—28no—
1938C2—42no—
1939C2—44no—
1940C2—48no—
1941C2—44no—
1942C2—44no—
1943C2C22×#51811yescharacteristic
1944C2C2×C4×H(5,𝔽2)11yescharacteristic
1945C2#6265411yescharacteristic
1946C2#6291211yescharacteristic
1947C2#6291411yescharacteristic
1948C2#6292011yescharacteristic
1949C2#6292111yescharacteristic
subgroupG/H
center, Frattini, socle, cosocleC23C26
commutatorC22C25×C4
prime radicalC2×#3496C2
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34493C2semidirect
3. #34480C2semidirect
4. #34478C2semidirect
5. #34476C2semidirect
6. #34471C2semidirect
7. #34470C2semidirect
8. #34460C2semidirect
9. #34456C2semidirect
10. #34414C2semidirect
11. #34410C2semidirect
12. #34408C2semidirect
13. #34407C2semidirect
14. #34393C2semidirect
15. #34379C2semidirect
16. #34368C2semidirect
17. #34363C2semidirect
18. #34316C2semidirect
19. #34310C2semidirect
20. #34310C2semidirect
21. #34308C2semidirect
22. #34298C2semidirect
23. #34292C2semidirect
24. #34290C2semidirect
25. #34288C2semidirect
26. #34258C2semidirect
27. #34256C2semidirect
28. #34226C2semidirect
29. #34204C2semidirect
30. #34194C2semidirect
31. C4×#547C2semidirect
32. C4×D42C2semidirect
33. D4×#117C2semidirect
34. #34086C2semidirect
35. C2×#2324C2semidirect
37. #3496C4semidirect
53. C2×#520C22semidirect
54. C2×#518C22semidirect
55. C2×#518C22semidirect
56. C2×C4×#41C22semidirect
58. C22×C4×D4C22semidirect
59. C22×C4×D4C22semidirect
60. C22×#117C22semidirect
61. #2379C22semidirect
62. #2378C22semidirect
63. #2377C22semidirect
64. #2377C22semidirect
65. #2377C22semidirect
66. #2377C22semidirect
67. #2377C22semidirect
68. #2377C22semidirect
69. #2376C22semidirect
70. #2376C22semidirect
71. #2375C22semidirect
72. #2375C22semidirect
73. #2374C22semidirect
74. #2374C22semidirect
75. #2369C22semidirect
76. #2368C22semidirect
77. #2367C22semidirect
78. #2367C22semidirect
79. #2366C22semidirect
80. #2366C22semidirect
81. #2366C22semidirect
82. #2365C22semidirect
83. #2365C22semidirect
84. #2364C22semidirect
85. #2363C22semidirect
86. #2363C22semidirect
87. #2363C22semidirect
88. #2363C22semidirect
89. #2363C22semidirect
90. #2363C22semidirect
91. #2363C22semidirect
92. #2363C22semidirect
93. #2363C22semidirect
94. #2363C22semidirect
95. #2362C22semidirect
96. #2362C22semidirect
97. #2361C22semidirect
98. #2361C22semidirect
99. #2361C22semidirect
100. #2361C22semidirect
101. #2361C22semidirect
102. #2361C22semidirect
103. #2361C22semidirect
104. #2361C22semidirect
105. #2360C22semidirect
106. #2360C22semidirect
107. #2359C22semidirect
108. #2359C22semidirect
109. #2359C22semidirect
110. #2359C22semidirect
111. #2358C22semidirect
112. #2358C22semidirect
113. #2358C22semidirect
114. #2358C22semidirect
115. #2358C22semidirect
116. #2358C22semidirect
117. #2357C22semidirect
118. #2357C22semidirect
119. #2354C22semidirect
120. #2354C22semidirect
121. #2354C22semidirect
122. #2354C22semidirect
123. #2354C22semidirect
124. #2354C22semidirect
125. #2354C22semidirect
126. #2352C22semidirect
127. #2352C22semidirect
128. #2352C22semidirect
129. #2352C22semidirect
130. #2349C22semidirect
131. #2349C22semidirect
132. D4×C4⋊C4C22semidirect
133. D4×C4⋊C4C22semidirect
134. D4×C4⋊C4C22semidirect
135. D4×C4⋊C4C22semidirect
136. D4×C4⋊C4C22semidirect
137. D4×C4⋊C4C22semidirect
138. D4×C4⋊C4C22semidirect
139. #2345C22semidirect
140. #2345C22semidirect
141. #2345C22semidirect
142. #2344C22semidirect
143. #2344C22semidirect
144. #2344C22semidirect
145. #2344C22semidirect
146. #2342C22semidirect
147. #2342C22semidirect
148. #2342C22semidirect
149. #2342C22semidirect
150. #2342C22semidirect
151. #2342C22semidirect
152. #2342C22semidirect
153. #2341C22semidirect
154. #2341C22semidirect
155. #2341C22semidirect
156. #2341C22semidirect
157. #2339C22semidirect
158. #2339C22semidirect
159. #2339C22semidirect
160. #2339C22semidirect
161. #2339C22semidirect
162. #2339C22semidirect
166. D4×C22⋊C4C22semidirect
167. D4×C22⋊C4C22semidirect
168. D4×C22⋊C4C22semidirect
169. D4×C22⋊C4C22semidirect
170. D4×C22⋊C4C22semidirect
171. D4×C22⋊C4C22semidirect
172. D4×C22⋊C4C22semidirect
173. D4×C22⋊C4C22semidirect
174. D4×C22⋊C4C22semidirect
175. D4×C22⋊C4C22semidirect
176. D4×C22⋊C4C22semidirect
177. D4×C22⋊C4C22semidirect
178. D4×C22⋊C4C22semidirect
179. D4×C22⋊C4C22semidirect
180. #2337C22semidirect
181. #2337C22semidirect
182. #2335C22semidirect
183. #2335C22semidirect
184. #2335C22semidirect
185. #2335C22semidirect
186. #2333C22semidirect
187. #2333C22semidirect
188. #2333C22semidirect
189. #2333C22semidirect
190. #2333C22semidirect
191. #2332C22semidirect
192. #2331C22semidirect
193. #2331C22semidirect
194. #2329C22semidirect
195. #2328C22semidirect
196. #2328C22semidirect
197. #2326C22semidirect
198. #2326C22semidirect
199. #2325C22semidirect
200. #2325C22semidirect
201. #2325C22semidirect
202. #2324C22semidirect
203. #2324C22semidirect
204. #2324C22semidirect
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. #2322C22semidirect
226. #2322C22semidirect
227. #2321C22semidirect
228. #2321C22semidirect
229. #2321C22semidirect
230. #2321C22semidirect
231. #2321C22semidirect
232. #2321C22semidirect
233. #2319C22semidirect
234. #2319C22semidirect
235. #2318C22semidirect
236. #2318C22semidirect
237. #2316C22semidirect
238. #2315C22semidirect
239. #2312C22semidirect
240. #2311C22semidirect
241. #2311C22semidirect
242. #2311C22semidirect
243. #2311C22semidirect
244. #2309C22semidirect
245. #2309C22semidirect
246. #2309C22semidirect
247. #2308C22semidirect
248. #2308C22semidirect
249. C4×C4⋊Q8C22semidirect
250. C4×C4⋊Q8C22semidirect
251. C4×#127C22semidirect
252. C4×#127C22semidirect
253. C4×C22⋊Q8C22semidirect
254. C4×C22⋊Q8C22semidirect
255. C4×#123C22semidirect
256. C4×#123C22semidirect
257. C4×#121C22semidirect
258. C4×#121C22semidirect
259. C4×#121C22semidirect
260. C4×#121C22semidirect
261. C4×#121C22semidirect
262. C4×#121C22semidirect
263. C4×#120C22semidirect
264. C4×#120C22semidirect
265. #2297C22semidirect
266. #2297C22semidirect
267. #2297C22semidirect
268. #2297C22semidirect
269. #2293C22semidirect
270. #2293C22semidirect
271. #2293C22semidirect
272. #2293C22semidirect
273. C2×#390C22semidirect
274. C2×#390C22semidirect
275. C2×#390C22semidirect
276. C2×#389C22semidirect
277. #2290C22semidirect
278. #2290C22semidirect
279. #2290C22semidirect
280. #2290C22semidirect
281. C2×#388C22semidirect
282. C2×#386C22semidirect
283. C2×#386C22semidirect
284. C2×#385C22semidirect
285. #2285C22semidirect
286. #2285C22semidirect
287. #2283C22semidirect
288. #2280C22semidirect
289. #2280C22semidirect
290. C2×#380C22semidirect
291. #2275C22semidirect
292. #2275C22semidirect
293. #2274C22semidirect
294. C42×D4C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C42×D4C22semidirect
298. C4×#117C22semidirect
299. C2×C4×C4⋊C4C22semidirect
302. C2×H(5,𝔽2)C2×C4semidirect
318. #547C2×C4semidirect
319. #547C2×C4semidirect
320. #547C2×C4semidirect
321. #546C2×C4semidirect
322. #546C2×C4semidirect
323. #546C2×C4semidirect
324. D42C2×C4semidirect
325. D42C2×C4semidirect
326. D42C2×C4semidirect
327. #537C2×C4semidirect
328. #534C2×C4semidirect
329. #532C2×C4semidirect
330. #532C2×C4semidirect
344. C2×#121C2×C4semidirect
345. C2×#121C2×C4semidirect
376. C2×C4×D4C2×C4semidirect
852. C2×#41C22×C4semidirect
853. C2×#41C22×C4semidirect
854. C2×#41C22×C4semidirect
855. C2×#41C22×C4semidirect
877. C22×D4C22×C4semidirect
878. C22×D4C22×C4semidirect
879. C22×D4C22×C4semidirect
880. C22×D4C22×C4semidirect
881. C22×D4C22×C4semidirect
906. C23×C4C22×C4semidirect
936. C4⋊Q8C22×C4semidirect
937. C4⋊Q8C22×C4semidirect
940. #124C22×C4semidirect
941. #124C22×C4semidirect
942. #123C22×C4semidirect
943. #123C22×C4semidirect
944. #123C22×C4semidirect
945. #123C22×C4semidirect
946. C22⋊Q8C22×C4semidirect
947. C22⋊Q8C22×C4semidirect
948. C22⋊Q8C22×C4semidirect
953. #121C22×C4semidirect
954. #121C22×C4semidirect
955. #121C22×C4semidirect
956. #121C22×C4semidirect
957. #121C22×C4semidirect
958. #121C22×C4semidirect
959. #121C22×C4semidirect
960. #121C22×C4semidirect
961. #121C22×C4semidirect
962. #121C22×C4semidirect
963. #121C22×C4semidirect
964. #121C22×C4semidirect
966. #120C22×C4semidirect
967. #120C22×C4semidirect
968. #120C22×C4semidirect
1011. C4×D4C22×C4semidirect
1012. C4×D4C22×C4semidirect
1013. C4×D4C22×C4semidirect
1014. C4×D4C22×C4semidirect
1015. C4×D4C22×C4semidirect
1016. C4×D4C22×C4semidirect
1017. C4×D4C22×C4semidirect
1018. C4×D4C22×C4semidirect
1044. C2×C4⋊C4C22×C4semidirect
1045. C2×C4⋊C4C22×C4semidirect
1046. C2×C4⋊C4C22×C4semidirect
1107. C2×C22⋊C4C22×C4semidirect
1108. C2×C22⋊C4C22×C4semidirect
1109. C2×C22⋊C4C22×C4semidirect
1186. C2×C42C22×C4semidirect
1654. C42H(5,𝔽2)semidirect
1739. D4#518semidirect

Maximal subgroups

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

subgroupindex
C2×#34962
#344932
#344802
#344782
#344762
#344712
#344702
#344602
#344562
#344142
#344102
#344082
#344072
#343932
#343792
#343682
#343632
#343162
#343102
#343082
#342982
#342922
#342902
#342882
#342582
#342562
#342262
#342042
#341942
C4×#5472
C4×D422
D4×#1172
#340862
C2×#23242