Finite Group Databasebeta

← C89×#61004 #36438852

Subgroups — C89×#61004 #36438852

Order 22784.

1732 conjugacy classes of subgroups.

The subgroup lattice has 1698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3495C211yesmaximal, characteristic, complemented
2C89×#3494C211yesmaximal, characteristic, complemented
3C89×#3256C211yesmaximal, characteristic, complemented
4C89×#3254C211yesmaximal, characteristic, complemented
5C89×#3252C211yesmaximal, characteristic, complemented
6C89×#3251C211yesmaximal, characteristic, complemented
7C89×#3243C211yesmaximal, characteristic, complemented
8C89×#3243C211yesmaximal, characteristic, complemented
9C89×#3242C211yesmaximal, characteristic, complemented
10C89×#3241C211yesmaximal, characteristic, complemented
11C89×#3225C211yesmaximal, characteristic, complemented
12C89×#3224C211yesmaximal, characteristic, complemented
13C89×#3222C211yesmaximal, characteristic, complemented
14C89×#3221C211yesmaximal, characteristic, complemented
15C89×#3197C211yesmaximal, characteristic, complemented
16C89×#3196C211yesmaximal, characteristic, complemented
17C89×#3194C211yesmaximal, characteristic, complemented
18C89×#3193C211yesmaximal, characteristic, complemented
19C89×#3183C211yesmaximal, characteristic, complemented
20C89×#3182C211yesmaximal, characteristic, complemented
21C89×#3172C211yesmaximal, characteristic, complemented
22C89×#3171C211yesmaximal, characteristic, complemented
23C89×#3126C211yesmaximal, characteristic, complemented
24C89×#3124C211yesmaximal, characteristic, complemented
25C89×#3124C211yesmaximal, characteristic, complemented
26C89×#3123C211yesmaximal, characteristic, complemented
27C89×#3121C211yesmaximal, characteristic, complemented
28C89×#3120C211yesmaximal, characteristic, complemented
29C89×#3119C211yesmaximal, characteristic, complemented
30C89×#3118C211yesmaximal, characteristic, complemented
31C89×#2921C211yesmaximal, characteristic, complemented
32#556×C89—21no—
33#555×C89—21no—
34#554×C89—21no—
35#553×C89—21no—
36#553×C89—21no—
37#552×C89—21no—
38#552×C89—21no—
39#552×C89—21no—
40#552×C89—21no—
41#551×C89—21no—
42#551×C89—21no—
43#551×C89—21no—
44#551×C89—21no—
45#547×C89—21no—
46#546×C89—21no—
47#546×C89—21no—
48#544×C89C2211yescharacteristic
49#544×C89C2211yescharacteristic, complemented
50#542×C89C2211yescharacteristic
51#542×C89C2211yescharacteristic
52#542×C89C2211yescharacteristic
53#542×C89C2211yescharacteristic
54#541×C89C2211yescharacteristic
55#541×C89C2211yescharacteristic
56#540×C89C2211yescharacteristic
57#540×C89C2211yescharacteristic
58#536×C89C2211yescharacteristic, complemented
59#535×C89C2211yescharacteristic
60#533×C89C2211yescharacteristic, complemented
61#533×C89C2211yescharacteristic, complemented
62#532×C89C2211yescharacteristic
63#532×C89C2211yescharacteristic
64#529×C89C2211yescharacteristic
65#529×C89C2211yescharacteristic
66#529×C89C2211yescharacteristic, complemented
67#529×C89C2211yescharacteristic, complemented
68#525×C89C2211yescharacteristic
69#525×C89C2211yescharacteristic
70C2×C22⋊Q8×C89C2211yescharacteristic
71C2×#121×C89C2211yescharacteristic
72#520×C89C2211yescharacteristic
73#520×C89C2211yescharacteristic, complemented
74#519×C89C2211yescharacteristic, complemented
75#518×C89C2211yescharacteristic
76C2×#117×C89C2211yescharacteristic
77#501×C89C2211yescharacteristic, complemented
78#501×C89C2211yescharacteristic, complemented
79#500×C89C2211yescharacteristic, complemented
80#499×C89C2211yescharacteristic, complemented
81#497×C89C2211yescharacteristic, complemented
82#496×C89C2211yescharacteristic, complemented
83#495×C89C2211yescharacteristic, complemented
84#492×C89C2211yescharacteristic, complemented
85#491×C89C2211yescharacteristic, complemented
86#490×C89C2211yescharacteristic, complemented
87#489×C89C2211yescharacteristic, complemented
88#489×C89C2211yescharacteristic, complemented
89#488×C89C2211yescharacteristic, complemented
90#488×C89C2211yescharacteristic, complemented
91#487×C89C2211yescharacteristic, complemented
92#486×C89C2211yescharacteristic, complemented
93#485×C89C2211yescharacteristic
94#485×C89C2211yescharacteristic
95#485×C89C2211yescharacteristic
96#485×C89C2211yescharacteristic, complemented
97#484×C89C2211yescharacteristic
98#484×C89C2211yescharacteristic
99#484×C89C2211yescharacteristic, complemented
100#483×C89C2211yescharacteristic
101#482×C89C2211yescharacteristic
102#482×C89C2211yescharacteristic
103#482×C89C2211yescharacteristic
104#482×C89C2211yescharacteristic, complemented
105#481×C89C2211yescharacteristic, complemented
106#480×C89C2211yescharacteristic
107#480×C89C2211yescharacteristic
108#480×C89C2211yescharacteristic
109#479×C89C2211yescharacteristic, complemented
110#479×C89C2211yescharacteristic, complemented
111#479×C89C2211yescharacteristic, complemented
112#479×C89C2211yescharacteristic, complemented
113#478×C89C2211yescharacteristic, complemented
114#478×C89C2211yescharacteristic, complemented
115#478×C89C2211yescharacteristic, complemented
116#478×C89C2211yescharacteristic, complemented
117#477×C89C2211yescharacteristic, complemented
118#477×C89C2211yescharacteristic, complemented
119#477×C89C2211yescharacteristic, complemented
120#476×C89C2211yescharacteristic, complemented
121#475×C89C2211yescharacteristic, complemented
122#474×C89C2211yescharacteristic, complemented
123#474×C89C2211yescharacteristic, complemented
124#474×C89C2211yescharacteristic, complemented
125#470×C89C2211yescharacteristic, complemented
126#470×C89C2211yescharacteristic, complemented
127#470×C89C2211yescharacteristic, complemented
128#469×C89C2211yescharacteristic
129#469×C89C2211yescharacteristic
130#469×C89C2211yescharacteristic, complemented
131#468×C89C2211yescharacteristic
132#468×C89C2211yescharacteristic
133#468×C89C2211yescharacteristic
134#468×C89C2211yescharacteristic
135#468×C89C2211yescharacteristic
136#468×C89C2211yescharacteristic
137#468×C89C2211yescharacteristic, complemented
138#468×C89C2211yescharacteristic, complemented
139#468×C89C2211yescharacteristic, complemented
140#468×C89C2211yescharacteristic, complemented
141#464×C89C2211yescharacteristic, complemented
142#464×C89C2211yescharacteristic, complemented
143#464×C89C2211yescharacteristic, complemented
144#464×C89C2211yescharacteristic, complemented
145#463×C89C2211yescharacteristic, complemented
146#463×C89C2211yescharacteristic, complemented
147#463×C89C2211yescharacteristic, complemented
148#463×C89C2211yescharacteristic, complemented
149#462×C89C2211yescharacteristic, complemented
150#461×C89C2211yescharacteristic, complemented
151#461×C89C2211yescharacteristic, complemented
152#461×C89C2211yescharacteristic, complemented
153#460×C89C2211yescharacteristic, complemented
154#460×C89C2211yescharacteristic, complemented
155#460×C89C2211yescharacteristic, complemented
156#459×C89C2211yescharacteristic, complemented
157#452×C89C2211yescharacteristic
158#452×C89C2211yescharacteristic
159#452×C89C2211yescharacteristic
160#452×C89C2211yescharacteristic, complemented
161#451×C89C2211yescharacteristic, complemented
162#450×C89C2211yescharacteristic
163#450×C89C2211yescharacteristic
164#450×C89C2211yescharacteristic
165#449×C89C2211yescharacteristic
166#449×C89C2211yescharacteristic
167#449×C89C2211yescharacteristic
168#449×C89C2211yescharacteristic, complemented
169#448×C89C2211yescharacteristic
170#448×C89C2211yescharacteristic
171#448×C89C2211yescharacteristic, complemented
172#447×C89C2211yescharacteristic
173#442×C89C2211yescharacteristic, complemented
174#441×C89C2211yescharacteristic, complemented
175#440×C89C2211yescharacteristic, complemented
176#440×C89C2211yescharacteristic, complemented
177#440×C89C2211yescharacteristic, complemented
178#440×C89C2211yescharacteristic, complemented
179#440×C89C2211yescharacteristic, complemented
180#440×C89C2211yescharacteristic, complemented
181C4×Q16×C89C2211yescharacteristic, complemented
182C4×Q16×C89C2211yescharacteristic, complemented
183C4×SD16×C89C2211yescharacteristic, complemented
184C4×SD16×C89C2211yescharacteristic, complemented
185C4×SD16×C89C2211yescharacteristic, complemented
186C4×SD16×C89C2211yescharacteristic, complemented
187C4×D8×C89C2211yescharacteristic, complemented
188C4×D8×C89C2211yescharacteristic, complemented
189#433×C89C2211yescharacteristic
190#433×C89C2211yescharacteristic
191#433×C89C2211yescharacteristic
192#433×C89C2211yescharacteristic
193#433×C89C2211yescharacteristic, complemented
194#433×C89C2211yescharacteristic, complemented
195#433×C89C2211yescharacteristic, complemented
196#433×C89C2211yescharacteristic, complemented
197#423×C89C2211yescharacteristic, complemented
198#423×C89C2211yescharacteristic, complemented
199#407×C89C2211yescharacteristic
200#407×C89C2211yescharacteristic
201C4×M16×C89C2211yescharacteristic, complemented
202C4×M16×C89C2211yescharacteristic, complemented
203C2×#41×C89—21no—
204C2×#41×C89—21no—
205C2×#41×C89C2311yescharacteristic
206C2×#41×C89C2311yescharacteristic
207C22×Q8×C89C2311yescharacteristic
208C22×D4×C89—21no—
209C22×D4×C89C2311yescharacteristic
210C23×C4×C89C2311yescharacteristic
211C2×Q16×C89C2311yescharacteristic
212C2×Q16×C89C2311yescharacteristic
213C2×Q16×C89C2311yescharacteristic
214C2×SD16×C89C2311yescharacteristic
215C2×SD16×C89C2311yescharacteristic
216C2×SD16×C89C2311yescharacteristic
217C2×SD16×C89C2311yescharacteristic
218C2×SD16×C89C2311yescharacteristic
219C2×SD16×C89C2311yescharacteristic
220C2×SD16×C89C2311yescharacteristic
221C2×SD16×C89C2311yescharacteristic
222C2×SD16×C89C2311yescharacteristic
223C2×SD16×C89C2311yescharacteristic
224C2×D8×C89C2311yescharacteristic
225C2×D8×C89C2311yescharacteristic
226C2×D8×C89C2311yescharacteristic
227C2×M16×C89C2311yescharacteristic
228C2×M16×C89C2311yescharacteristic
229C2×M16×C89C2311yescharacteristic
230C2×M16×C89C2311yescharacteristic
231C4⋊Q8×C89—21no—
232C4⋊Q8×C89—21no—
233C4⋊Q8×C89C2311yescharacteristic
234C4⋊Q8×C89C2311yescharacteristic
235C4⋊Q8×C89C2311yescharacteristic
236C4⋊Q8×C89C2311yescharacteristic
237C4⋊Q8×C89C2311yescharacteristic
238C4⋊Q8×C89C2311yescharacteristic
239#127×C89C2311yescharacteristic
240#127×C89C2311yescharacteristic
241#126×C89—21no—
242#126×C89—21no—
243#126×C89—21no—
244#126×C89—21no—
245#126×C89—21no—
246#126×C89—21no—
247#126×C89—21no—
248#126×C89—21no—
249#126×C89—21no—
250#126×C89—21no—
251#126×C89—21no—
252#126×C89—21no—
253#125×C89—21no—
254#125×C89—21no—
255#125×C89—21no—
256#125×C89—21no—
257#125×C89—21no—
258#125×C89—21no—
259#125×C89—21no—
260#125×C89—21no—
261#125×C89C2311yescharacteristic
262#125×C89C2311yescharacteristic
263#125×C89C2311yescharacteristic
264#125×C89C2311yescharacteristic
265#124×C89—21no—
266#124×C89—21no—
267#124×C89—21no—
268#124×C89—21no—
269#124×C89—21no—
270#124×C89—21no—
271#124×C89C2311yescharacteristic
272#124×C89C2311yescharacteristic
273#124×C89C2311yescharacteristic
274#124×C89C2311yescharacteristic
275#123×C89—21no—
276#123×C89—21no—
277#123×C89—21no—
278#123×C89—21no—
279#123×C89—21no—
280#123×C89—21no—
281#123×C89—21no—
282#123×C89—21no—
283#123×C89—21no—
284#123×C89—21no—
285#123×C89—21no—
286#123×C89—21no—
287#123×C89—21no—
288#123×C89—21no—
289#123×C89—21no—
290#123×C89—21no—
291C22⋊Q8×C89—21no—
292C22⋊Q8×C89—21no—
293C22⋊Q8×C89—21no—
294C22⋊Q8×C89—21no—
295C22⋊Q8×C89—21no—
296C22⋊Q8×C89—21no—
297C22⋊Q8×C89—21no—
298C22⋊Q8×C89—21no—
299C22⋊Q8×C89—21no—
300C22⋊Q8×C89—21no—
301C22⋊Q8×C89—21no—
302C22⋊Q8×C89—21no—
303C22⋊Q8×C89—21no—
304C22⋊Q8×C89—21no—
305C22⋊Q8×C89C2311yescharacteristic
306C22⋊Q8×C89C2311yescharacteristic
307C22⋊Q8×C89C2311yescharacteristic
308C22⋊Q8×C89C2311yescharacteristic
309C22⋊Q8×C89C2311yescharacteristic
310C22⋊Q8×C89C2311yescharacteristic
311C22⋊Q8×C89C2311yescharacteristic
312C22⋊Q8×C89C2311yescharacteristic
313#121×C89—21no—
314#121×C89—21no—
315#121×C89—21no—
316#121×C89—21no—
317#121×C89—21no—
318#121×C89—21no—
319#121×C89—21no—
320#121×C89—21no—
321#121×C89—21no—
322#121×C89—21no—
323#121×C89C2311yescharacteristic
324#121×C89C2311yescharacteristic
325#121×C89C2311yescharacteristic
326#121×C89C2311yescharacteristic
327#121×C89C2311yescharacteristic
328#121×C89C2311yescharacteristic
329#121×C89C2311yescharacteristic
330#121×C89C2311yescharacteristic
331#120×C89—21no—
332#120×C89—21no—
333#120×C89—21no—
334#120×C89—21no—
335C4×Q8×C89—21no—
336C4×Q8×C89—21no—
337C4×Q8×C89—21no—
338C4×Q8×C89—21no—
339C4×Q8×C89C2311yescharacteristic
340C4×Q8×C89C2311yescharacteristic
341C4×Q8×C89C2311yescharacteristic
342C4×Q8×C89C2311yescharacteristic
343C4×Q8×C89C2311yescharacteristic
344C4×Q8×C89C2311yescharacteristic
345C4×Q8×C89C2311yescharacteristic
346C4×Q8×C89C2311yescharacteristic
347C4×D4×C89—21no—
348C4×D4×C89—21no—
349C4×D4×C89—21no—
350C4×D4×C89—21no—
351C4×D4×C89—21no—
352C4×D4×C89—21no—
353C4×D4×C89—21no—
354C4×D4×C89—21no—
355C4×D4×C89—21no—
356C4×D4×C89—21no—
357C4×D4×C89—21no—
358C4×D4×C89—21no—
359C4×D4×C89—21no—
360C4×D4×C89—21no—
361C4×D4×C89—21no—
362C4×D4×C89—21no—
363C4×D4×C89C2311yescharacteristic
364C4×D4×C89C2311yescharacteristic
365C4×D4×C89C2311yescharacteristic
366C4×D4×C89C2311yescharacteristic
367C4×D4×C89C2311yescharacteristic
368C4×D4×C89C2311yescharacteristic
369C4×D4×C89C2311yescharacteristic
370C4×D4×C89C2311yescharacteristic
371#117×C89—21no—
372#117×C89—21no—
373#117×C89—21no—
374#117×C89—21no—
375#117×C89—21no—
376#117×C89—21no—
377#117×C89—21no—
378#117×C89—21no—
379#117×C89—21no—
380#117×C89—21no—
381#117×C89D411yescharacteristic
382#117×C89D411yescharacteristic
383#117×C89D411yescharacteristic
384#117×C89D411yescharacteristic
385#117×C89C2311yescharacteristic
386#117×C89C2311yescharacteristic
387#117×C89C2311yescharacteristic
388#117×C89C2311yescharacteristic
389#117×C89C2311yescharacteristic
390#117×C89C2311yescharacteristic
391C2×C4⋊C4×C89—21no—
392C2×C4⋊C4×C89—21no—
393C2×C4⋊C4×C89—21no—
394C2×C4⋊C4×C89D411yescharacteristic
395C2×C4⋊C4×C89D411yescharacteristic
396C2×C4⋊C4×C89C2311yescharacteristic
397C2×C4⋊C4×C89C2311yescharacteristic
398C2×C22⋊C4×C89—21no—
399C2×C22⋊C4×C89—21no—
400C2×C22⋊C4×C89—21no—
401C2×C22⋊C4×C89—21no—
402C2×C22⋊C4×C89D411yescharacteristic
403C2×C22⋊C4×C89D411yescharacteristic
404C2×C42×C89C2311yescharacteristic
405C2×C42×C89C2311yescharacteristic
406#107×C89C2311yescharacteristic
407#107×C89C2311yescharacteristic
408#107×C89C2311yescharacteristic
409#107×C89C2311yescharacteristic
410#107×C89C2311yescharacteristic
411#107×C89C2311yescharacteristic
412#107×C89C2311yescharacteristic
413#107×C89C2311yescharacteristic
414#107×C89C2311yescharacteristic
415#107×C89C2311yescharacteristic
416#106×C89C2311yescharacteristic
417#106×C89C2311yescharacteristic
418#106×C89C2311yescharacteristic
419#106×C89C2311yescharacteristic
420#106×C89C2311yescharacteristic
421#106×C89C2311yescharacteristic
422C4⋊C8×C89C2311yescharacteristic
423C4⋊C8×C89C2311yescharacteristic
424C4⋊C8×C89C2311yescharacteristic
425C4⋊C8×C89C2311yescharacteristic
426C4⋊C8×C89C2311yescharacteristic
427C4⋊C8×C89C2311yescharacteristic
428C4⋊C8×C89C2311yescharacteristic
429C4⋊C8×C89C2311yescharacteristic
430#103×C89C2311yescharacteristic
431#103×C89C2311yescharacteristic
432#103×C89C2311yescharacteristic
433#103×C89C2311yescharacteristic
434#103×C89C2311yescharacteristic
435#103×C89C2311yescharacteristic
436#103×C89C2311yescharacteristic
437#103×C89C2311yescharacteristic
438#103×C89C2311yescharacteristic
439#103×C89C2311yescharacteristic
440#103×C89C2311yescharacteristic
441#103×C89C2311yescharacteristic
442#103×C89C2311yescharacteristic
443#103×C89C2311yescharacteristic
444#103×C89C2311yescharacteristic
445#103×C89C2311yescharacteristic
446#102×C89C2311yescharacteristic
447#102×C89C2311yescharacteristic
448#102×C89C2311yescharacteristic
449#102×C89C2311yescharacteristic
450#102×C89C2311yescharacteristic
451#102×C89C2311yescharacteristic
452#102×C89C2311yescharacteristic
453#102×C89C2311yescharacteristic
454#102×C89C2311yescharacteristic
455#102×C89C2311yescharacteristic
456#102×C89C2311yescharacteristic
457#102×C89C2311yescharacteristic
458#102×C89C2311yescharacteristic
459#102×C89C2311yescharacteristic
460#102×C89C2311yescharacteristic
461#102×C89C2311yescharacteristic
462C22⋊C8×C89C2311yescharacteristic
463C22⋊C8×C89C2311yescharacteristic
464C22⋊C8×C89C2311yescharacteristic
465C22⋊C8×C89C2311yescharacteristic
466C22⋊C8×C89C2311yescharacteristic
467C22⋊C8×C89C2311yescharacteristic
468C22⋊C8×C89C2311yescharacteristic
469C22⋊C8×C89C2311yescharacteristic
470#97×C89C2311yescharacteristic
471#97×C89C2311yescharacteristic
472#97×C89C2311yescharacteristic
473#97×C89C2311yescharacteristic
474C4×C8×C89C2311yescharacteristic
475C4×C8×C89C2311yescharacteristic
476C4×C8×C89C2311yescharacteristic
477C4×C8×C89C2311yescharacteristic
478C24×C89—21no—
479C24×C89C2×D411yescharacteristic
480#41×C89—41no—
481#41×C89—41no—
482#41×C89—41no—
483#41×C89—41no—
484#41×C89—82no—
485#41×C89—82no—
486C2×Q8×C89—21no—
487C2×Q8×C89—21no—
488C2×Q8×C89—21no—
489C2×Q8×C89—21no—
490C2×Q8×C89—21no—
491C2×Q8×C89—41no—
492C2×Q8×C89—41no—
493C2×Q8×C89C2411yescharacteristic
494C2×Q8×C89C2411yescharacteristic
495C2×Q8×C89C2411yescharacteristic
496C2×Q8×C89C2411yescharacteristic
497C2×D4×C89—21no—
498C2×D4×C89—21no—
499C2×D4×C89—21no—
500C2×D4×C89—21no—
501C2×D4×C89—21no—
502C2×D4×C89—21no—
503C2×D4×C89—21no—
504C2×D4×C89—21no—
505C2×D4×C89—21no—
506C2×D4×C89—21no—
507C2×D4×C89—21no—
508C2×D4×C89—21no—
509C2×D4×C89—21no—
510C2×D4×C89—21no—
511C2×D4×C89—21no—
512C2×D4×C89—41no—
513C2×D4×C89—41no—
514C2×D4×C89—82no—
515C2×D4×C89C2411yescharacteristic
516C2×D4×C89C2411yescharacteristic
517C2×D4×C89C2411yescharacteristic
518C2×D4×C89C2411yescharacteristic
519C22×C4×C89—21no—
520C22×C4×C89—21no—
521C22×C4×C89—21no—
522C22×C4×C89—21no—
523C22×C4×C89—21no—
524C22×C4×C89—21no—
525C22×C4×C89—21no—
526C22×C4×C89—21no—
527C22×C4×C89—21no—
528C22×C4×C89—21no—
529C22×C4×C89—21no—
530C22×C4×C89—21no—
531C22×C4×C89—21no—
532C22×C4×C89—41no—
533C22×C4×C89—41no—
534C22×C4×C89C2×D411yescharacteristic
535C22×C4×C89C2×D411yescharacteristic
536C22×C4×C89C2×D411yescharacteristic
537C22×C4×C89C2×D411yescharacteristic
538C22×C4×C89C2×D411yescharacteristic
539C22×C4×C89C2×D411yescharacteristic
540C22×C4×C89C2×D411yescharacteristic
541C22×C4×C89C2411yescharacteristic
542C22×C4×C89C2411yescharacteristic
543C22×C4×C89C2411yescharacteristic
544Q16×C89—41no—
545Q16×C89—41no—
546Q16×C89—41no—
547SD16×C89—41no—
548SD16×C89—41no—
549SD16×C89—41no—
550SD16×C89—41no—
551SD16×C89—41no—
552SD16×C89—41no—
553SD16×C89—41no—
554SD16×C89—41no—
555SD16×C89—41no—
556SD16×C89—41no—
557D8×C89—41no—
558D8×C89—41no—
559D8×C89—41no—
560M16×C89—41no—
561M16×C89—41no—
562M16×C89—41no—
563M16×C89—41no—
564C2×C8×C89C2411yescharacteristic
565C2×C8×C89C2411yescharacteristic
566C2×C8×C89C2411yescharacteristic
567C2×C8×C89C2411yescharacteristic
568C2×C8×C89C2411yescharacteristic
569C2×C8×C89C2411yescharacteristic
570C2×C8×C89C2411yescharacteristic
571C2×C8×C89C2411yescharacteristic
572C4⋊C4×C89—21no—
573C4⋊C4×C89—21no—
574C4⋊C4×C89—21no—
575C4⋊C4×C89—21no—
576C4⋊C4×C89—21no—
577C4⋊C4×C89—21no—
578C4⋊C4×C89—21no—
579C4⋊C4×C89—21no—
580C4⋊C4×C89—21no—
581C4⋊C4×C89—21no—
582C4⋊C4×C89—21no—
583C4⋊C4×C89—21no—
584C4⋊C4×C89—21no—
585C4⋊C4×C89—21no—
586C4⋊C4×C89—21no—
587C4⋊C4×C89—21no—
588C4⋊C4×C89—21no—
589C4⋊C4×C89—21no—
590C4⋊C4×C89—21no—
591C4⋊C4×C89—21no—
592C4⋊C4×C89—21no—
593C4⋊C4×C89—21no—
594C4⋊C4×C89—21no—
595C4⋊C4×C89—21no—
596C4⋊C4×C89—21no—
597C4⋊C4×C89—21no—
598C4⋊C4×C89—21no—
599C4⋊C4×C89—21no—
600C4⋊C4×C89—21no—
601C4⋊C4×C89—21no—
602C4⋊C4×C89—21no—
603C4⋊C4×C89—21no—
604C4⋊C4×C89—21no—
605C4⋊C4×C89—21no—
606C4⋊C4×C89C2×D411yescharacteristic
607C4⋊C4×C89C2×D411yescharacteristic
608C4⋊C4×C89C2×D411yescharacteristic
609C4⋊C4×C89C2×D411yescharacteristic
610C4⋊C4×C89C2×D411yescharacteristic
611C4⋊C4×C89C2×D411yescharacteristic
612C4⋊C4×C89C2×D411yescharacteristic
613C4⋊C4×C89C2×D411yescharacteristic
614C4⋊C4×C89C2411yescharacteristic
615C4⋊C4×C89C2411yescharacteristic
616C4⋊C4×C89C2411yescharacteristic
617C4⋊C4×C89C2411yescharacteristic
618C4⋊C4×C89C2411yescharacteristic
619C4⋊C4×C89C2411yescharacteristic
620C4⋊C4×C89C2411yescharacteristic
621C4⋊C4×C89C2411yescharacteristic
622C22⋊C4×C89—21no—
623C22⋊C4×C89—21no—
624C22⋊C4×C89—21no—
625C22⋊C4×C89—21no—
626C22⋊C4×C89—21no—
627C22⋊C4×C89—21no—
628C22⋊C4×C89—21no—
629C22⋊C4×C89—21no—
630C22⋊C4×C89—21no—
631C22⋊C4×C89—21no—
632C22⋊C4×C89—21no—
633C22⋊C4×C89—21no—
634C22⋊C4×C89—21no—
635C22⋊C4×C89—21no—
636C22⋊C4×C89—21no—
637C22⋊C4×C89—21no—
638C22⋊C4×C89—21no—
639C22⋊C4×C89—21no—
640C22⋊C4×C89—21no—
641C22⋊C4×C89—21no—
642C22⋊C4×C89—21no—
643C22⋊C4×C89—21no—
644C22⋊C4×C89—21no—
645C22⋊C4×C89—21no—
646C22⋊C4×C89—21no—
647C22⋊C4×C89—21no—
648C22⋊C4×C89—21no—
649C22⋊C4×C89—21no—
650C22⋊C4×C89—21no—
651C22⋊C4×C89—21no—
652C22⋊C4×C89—21no—
653C22⋊C4×C89—21no—
654C22⋊C4×C89—21no—
655C22⋊C4×C89—21no—
656C22⋊C4×C89C2×D411yescharacteristic
657C22⋊C4×C89C2×D411yescharacteristic
658C22⋊C4×C89C2×D411yescharacteristic
659C22⋊C4×C89C2×D411yescharacteristic
660C22⋊C4×C89C2×D411yescharacteristic
661C22⋊C4×C89C2×D411yescharacteristic
662C22⋊C4×C89C2×D411yescharacteristic
663C22⋊C4×C89C2×D411yescharacteristic
664C42×C89—21no—
665C42×C89—21no—
666C42×C89—21no—
667C42×C89—21no—
668C42×C89—21no—
669C42×C89—21no—
670C42×C89—21no—
671C42×C89—21no—
672C42×C89—21no—
673C42×C89—21no—
674C42×C89C2×D411yescharacteristic
675C42×C89C2×D411yescharacteristic
676C42×C89C2×D411yescharacteristic
677C42×C89C2×D411yescharacteristic
678C42×C89C2411yescharacteristic
679C42×C89C2411yescharacteristic
680C42×C89C2411yescharacteristic
681C42×C89C2411yescharacteristic
682C23×C89—21no—
683C23×C89—21no—
684C23×C89—21no—
685C23×C89—21no—
686C23×C89—41no—
687C23×C89—41no—
688C23×C89—41no—
689C23×C89—42no—
690C23×C89—81no—
691C23×C89—81no—
692C23×C89C22×D411yescharacteristic
693C23×C89C22×D411yescharacteristic
694C23×C89C22×D411yescharacteristic
695Q8×C89—21no—
696Q8×C89—21no—
697Q8×C89—21no—
698Q8×C89—21no—
699Q8×C89—21no—
700Q8×C89—21no—
701Q8×C89—21no—
702Q8×C89—21no—
703Q8×C89—42no—
704Q8×C89—81no—
705Q8×C89—81no—
706Q8×C89—81no—
707Q8×C89—81no—
708D4×C89—21no—
709D4×C89—21no—
710D4×C89—21no—
711D4×C89—21no—
712D4×C89—21no—
713D4×C89—21no—
714D4×C89—21no—
715D4×C89—21no—
716D4×C89—42no—
717D4×C89—42no—
718D4×C89—42no—
719D4×C89—42no—
720D4×C89—42no—
721D4×C89—42no—
722D4×C89—42no—
723D4×C89—81no—
724D4×C89—81no—
725D4×C89—81no—
726D4×C89—81no—
727D4×C89—81no—
728D4×C89—81no—
729D4×C89—81no—
730D4×C89—81no—
731C2×C4×C89—21no—
732C2×C4×C89—21no—
733C2×C4×C89—21no—
734C2×C4×C89—21no—
735C2×C4×C89—21no—
736C2×C4×C89—21no—
737C2×C4×C89—21no—
738C2×C4×C89—21no—
739C2×C4×C89—21no—
740C2×C4×C89—21no—
741C2×C4×C89—21no—
742C2×C4×C89—21no—
743C2×C4×C89—21no—
744C2×C4×C89—21no—
745C2×C4×C89—21no—
746C2×C4×C89—21no—
747C2×C4×C89—21no—
748C2×C4×C89—21no—
749C2×C4×C89—41no—
750C2×C4×C89—41no—
751C2×C4×C89—41no—
752C2×C4×C89—41no—
753C2×C4×C89—41no—
754C2×C4×C89—41no—
755C2×C4×C89—41no—
756C2×C4×C89—42no—
757C2×C4×C89—42no—
758C2×C4×C89—42no—
759C2×C4×C89—81no—
760C2×C4×C89—81no—
761C2×C4×C89—81no—
762C2×C4×C89—81no—
763C2×C4×C89—81no—
764C2×C4×C89—81no—
765C2×C4×C89—81no—
766C2×C4×C89—81no—
767C2×C4×C89—81no—
768C2×C4×C89—81no—
769C2×C4×C89C22×D411yescharacteristic
770C2×C4×C89C22×D411yescharacteristic
771C2×C4×C89C22×D411yescharacteristic
772C2×C4×C89C22×D411yescharacteristic
773C2×C4×C89C22×D411yescharacteristic
774C2×C4×C89C22×D411yescharacteristic
775C2×C4×C89C22×D411yescharacteristic
776C2×C4×C89C22×D411yescharacteristic
777C2×C4×C89C22×D411yescharacteristic
778C2×C4×C89C22×D411yescharacteristic
779C2×C4×C89C22×D411yescharacteristic
780C2×C4×C89C2511yescharacteristic
781C8×C89—21no—
782C8×C89—21no—
783C8×C89—21no—
784C8×C89—21no—
785C8×C89—21no—
786C8×C89—21no—
787C8×C89—21no—
788C8×C89—21no—
789C22×C89—21no—
790C22×C89—21no—
791C22×C89—21no—
792C22×C89—21no—
793C22×C89—21no—
794C22×C89—21no—
795C22×C89—21no—
796C22×C89—21no—
797C22×C89—21no—
798C22×C89—41no—
799C22×C89—41no—
800C22×C89—41no—
801C22×C89—41no—
802C22×C89—41no—
803C22×C89—41no—
804C22×C89—41no—
805C22×C89—41no—
806C22×C89—41no—
807C22×C89—41no—
808C22×C89—41no—
809C22×C89—41no—
810C22×C89—82no—
811C22×C89—162no—
812C22×C89C23×D411yescharacteristic
813C4×C89—21no—
814C4×C89—21no—
815C4×C89—21no—
816C4×C89—21no—
817C4×C89—21no—
818C4×C89—21no—
819C4×C89—21no—
820C4×C89—21no—
821C4×C89—21no—
822C4×C89—21no—
823C4×C89—21no—
824C4×C89—41no—
825C4×C89—41no—
826C4×C89—41no—
827C4×C89—41no—
828C4×C89—41no—
829C4×C89—41no—
830C4×C89—41no—
831C4×C89—41no—
832C4×C89—41no—
833C4×C89—41no—
834C4×C89—41no—
835C4×C89—41no—
836C4×C89#58511yescharacteristic
837C4×C89#58511yescharacteristic
838#61004C8911yesmaximal, characteristic, direct product factor, Sylow
839C2×C89—41no—
840C2×C89—41no—
841C2×C89—41no—
842C2×C89—81no—
843C2×C89—81no—
844C2×C89—81no—
845C2×C89—81no—
846C2×C89#344911yescharacteristic
847C2×C89#358511yescharacteristic
848C2×C89#358611yescharacteristic
849#3495C2×C8911yescharacteristic, complemented
850#3494C2×C8911yescharacteristic, complemented
851#3256C2×C8911yescharacteristic, complemented
852#3254C2×C8911yescharacteristic, complemented
853#3252C2×C8911yescharacteristic, complemented
854#3251C2×C8911yescharacteristic, complemented
855#3243C2×C8911yescharacteristic, complemented
856#3243C2×C8911yescharacteristic, complemented
857#3242C2×C8911yescharacteristic, complemented
858#3241C2×C8911yescharacteristic, complemented
859#3225C2×C8911yescharacteristic, complemented
860#3224C2×C8911yescharacteristic, complemented
861#3222C2×C8911yescharacteristic, complemented
862#3221C2×C8911yescharacteristic, complemented
863#3197C2×C8911yescharacteristic, complemented
864#3196C2×C8911yescharacteristic, complemented
865#3194C2×C8911yescharacteristic, complemented
866#3193C2×C8911yescharacteristic, complemented
867#3183C2×C8911yescharacteristic, complemented
868#3182C2×C8911yescharacteristic, complemented
869#3172C2×C8911yescharacteristic, complemented
870#3171C2×C8911yescharacteristic, complemented
871#3126C2×C8911yescharacteristic, complemented
872#3124C2×C8911yescharacteristic, complemented
873#3124C2×C8911yescharacteristic, complemented
874#3123C2×C8911yescharacteristic, complemented
875#3121C2×C8911yescharacteristic, complemented
876#3120C2×C8911yescharacteristic, complemented
877#3119C2×C8911yescharacteristic, complemented
878#3118C2×C8911yescharacteristic, complemented
879#2921C2×C8911yescharacteristic, complemented
880C89#6100411yescharacteristic, direct product factor, Sylow
881#556—21no—
882#555—21no—
883#554—21no—
884#553—21no—
885#553—21no—
886#552—21no—
887#552—21no—
888#552—21no—
889#552—21no—
890#551—21no—
891#551—21no—
892#551—21no—
893#551—21no—
894#547—21no—
895#546—21no—
896#546—21no—
897#544C22×C8911yescharacteristic
898#544C22×C8911yescharacteristic, complemented
899#542C22×C8911yescharacteristic
900#542C22×C8911yescharacteristic
901#542C22×C8911yescharacteristic
902#542C22×C8911yescharacteristic
903#541C22×C8911yescharacteristic
904#541C22×C8911yescharacteristic
905#540C22×C8911yescharacteristic
906#540C22×C8911yescharacteristic
907#536C22×C8911yescharacteristic, complemented
908#535C22×C8911yescharacteristic
909#533C22×C8911yescharacteristic, complemented
910#533C22×C8911yescharacteristic, complemented
911#532C22×C8911yescharacteristic
912#532C22×C8911yescharacteristic
913#529C22×C8911yescharacteristic
914#529C22×C8911yescharacteristic
915#529C22×C8911yescharacteristic, complemented
916#529C22×C8911yescharacteristic, complemented
917#525C22×C8911yescharacteristic
918#525C22×C8911yescharacteristic
919C2×C22⋊Q8C22×C8911yescharacteristic
920C2×#121C22×C8911yescharacteristic
921#520C22×C8911yescharacteristic
922#520C22×C8911yescharacteristic, complemented
923#519C22×C8911yescharacteristic, complemented
924#518C22×C8911yescharacteristic
925C2×#117C22×C8911yescharacteristic
926#501C22×C8911yescharacteristic, complemented
927#501C22×C8911yescharacteristic, complemented
928#500C22×C8911yescharacteristic, complemented
929#499C22×C8911yescharacteristic, complemented
930#497C22×C8911yescharacteristic, complemented
931#496C22×C8911yescharacteristic, complemented
932#495C22×C8911yescharacteristic, complemented
933#492C22×C8911yescharacteristic, complemented
934#491C22×C8911yescharacteristic, complemented
935#490C22×C8911yescharacteristic, complemented
936#489C22×C8911yescharacteristic, complemented
937#489C22×C8911yescharacteristic, complemented
938#488C22×C8911yescharacteristic, complemented
939#488C22×C8911yescharacteristic, complemented
940#487C22×C8911yescharacteristic, complemented
941#486C22×C8911yescharacteristic, complemented
942#485C22×C8911yescharacteristic
943#485C22×C8911yescharacteristic
944#485C22×C8911yescharacteristic
945#485C22×C8911yescharacteristic, complemented
946#484C22×C8911yescharacteristic
947#484C22×C8911yescharacteristic
948#484C22×C8911yescharacteristic, complemented
949#483C22×C8911yescharacteristic
950#482C22×C8911yescharacteristic
951#482C22×C8911yescharacteristic
952#482C22×C8911yescharacteristic
953#482C22×C8911yescharacteristic, complemented
954#481C22×C8911yescharacteristic, complemented
955#480C22×C8911yescharacteristic
956#480C22×C8911yescharacteristic
957#480C22×C8911yescharacteristic
958#479C22×C8911yescharacteristic, complemented
959#479C22×C8911yescharacteristic, complemented
960#479C22×C8911yescharacteristic, complemented
961#479C22×C8911yescharacteristic, complemented
962#478C22×C8911yescharacteristic, complemented
963#478C22×C8911yescharacteristic, complemented
964#478C22×C8911yescharacteristic, complemented
965#478C22×C8911yescharacteristic, complemented
966#477C22×C8911yescharacteristic, complemented
967#477C22×C8911yescharacteristic, complemented
968#477C22×C8911yescharacteristic, complemented
969#476C22×C8911yescharacteristic, complemented
970#475C22×C8911yescharacteristic, complemented
971#474C22×C8911yescharacteristic, complemented
972#474C22×C8911yescharacteristic, complemented
973#474C22×C8911yescharacteristic, complemented
974#470C22×C8911yescharacteristic, complemented
975#470C22×C8911yescharacteristic, complemented
976#470C22×C8911yescharacteristic, complemented
977#469C22×C8911yescharacteristic
978#469C22×C8911yescharacteristic
979#469C22×C8911yescharacteristic, complemented
980#468C22×C8911yescharacteristic
981#468C22×C8911yescharacteristic
982#468C22×C8911yescharacteristic
983#468C22×C8911yescharacteristic
984#468C22×C8911yescharacteristic
985#468C22×C8911yescharacteristic
986#468C22×C8911yescharacteristic, complemented
987#468C22×C8911yescharacteristic, complemented
988#468C22×C8911yescharacteristic, complemented
989#468C22×C8911yescharacteristic, complemented
990#464C22×C8911yescharacteristic, complemented
991#464C22×C8911yescharacteristic, complemented
992#464C22×C8911yescharacteristic, complemented
993#464C22×C8911yescharacteristic, complemented
994#463C22×C8911yescharacteristic, complemented
995#463C22×C8911yescharacteristic, complemented
996#463C22×C8911yescharacteristic, complemented
997#463C22×C8911yescharacteristic, complemented
998#462C22×C8911yescharacteristic, complemented
999#461C22×C8911yescharacteristic, complemented
1000#461C22×C8911yescharacteristic, complemented
1001#461C22×C8911yescharacteristic, complemented
1002#460C22×C8911yescharacteristic, complemented
1003#460C22×C8911yescharacteristic, complemented
1004#460C22×C8911yescharacteristic, complemented
1005#459C22×C8911yescharacteristic, complemented
1006#452C22×C8911yescharacteristic
1007#452C22×C8911yescharacteristic
1008#452C22×C8911yescharacteristic
1009#452C22×C8911yescharacteristic, complemented
1010#451C22×C8911yescharacteristic, complemented
1011#450C22×C8911yescharacteristic
1012#450C22×C8911yescharacteristic
1013#450C22×C8911yescharacteristic
1014#449C22×C8911yescharacteristic
1015#449C22×C8911yescharacteristic
1016#449C22×C8911yescharacteristic
1017#449C22×C8911yescharacteristic, complemented
1018#448C22×C8911yescharacteristic
1019#448C22×C8911yescharacteristic
1020#448C22×C8911yescharacteristic, complemented
1021#447C22×C8911yescharacteristic
1022#442C22×C8911yescharacteristic, complemented
1023#441C22×C8911yescharacteristic, complemented
1024#440C22×C8911yescharacteristic, complemented
1025#440C22×C8911yescharacteristic, complemented
1026#440C22×C8911yescharacteristic, complemented
1027#440C22×C8911yescharacteristic, complemented
1028#440C22×C8911yescharacteristic, complemented
1029#440C22×C8911yescharacteristic, complemented
1030C4×Q16C22×C8911yescharacteristic, complemented
1031C4×Q16C22×C8911yescharacteristic, complemented
1032C4×SD16C22×C8911yescharacteristic, complemented
1033C4×SD16C22×C8911yescharacteristic, complemented
1034C4×SD16C22×C8911yescharacteristic, complemented
1035C4×SD16C22×C8911yescharacteristic, complemented
1036C4×D8C22×C8911yescharacteristic, complemented
1037C4×D8C22×C8911yescharacteristic, complemented
1038#433C22×C8911yescharacteristic
1039#433C22×C8911yescharacteristic
1040#433C22×C8911yescharacteristic
1041#433C22×C8911yescharacteristic
1042#433C22×C8911yescharacteristic, complemented
1043#433C22×C8911yescharacteristic, complemented
1044#433C22×C8911yescharacteristic, complemented
1045#433C22×C8911yescharacteristic, complemented
1046#423C22×C8911yescharacteristic, complemented
1047#423C22×C8911yescharacteristic, complemented
1048#407C22×C8911yescharacteristic
1049#407C22×C8911yescharacteristic
1050C4×M16C22×C8911yescharacteristic, complemented
1051C4×M16C22×C8911yescharacteristic, complemented
1052C2×#41—21no—
1053C2×#41—21no—
1054C2×#41C23×C8911yescharacteristic
1055C2×#41C23×C8911yescharacteristic
1056C22×Q8C23×C8911yescharacteristic
1057C22×D4—21no—
1058C22×D4C23×C8911yescharacteristic
1059C23×C4C23×C8911yescharacteristic
1060C2×Q16C23×C8911yescharacteristic
1061C2×Q16C23×C8911yescharacteristic
1062C2×Q16C23×C8911yescharacteristic
1063C2×SD16C23×C8911yescharacteristic
1064C2×SD16C23×C8911yescharacteristic
1065C2×SD16C23×C8911yescharacteristic
1066C2×SD16C23×C8911yescharacteristic
1067C2×SD16C23×C8911yescharacteristic
1068C2×SD16C23×C8911yescharacteristic
1069C2×SD16C23×C8911yescharacteristic
1070C2×SD16C23×C8911yescharacteristic
1071C2×SD16C23×C8911yescharacteristic
1072C2×SD16C23×C8911yescharacteristic
1073C2×D8C23×C8911yescharacteristic
1074C2×D8C23×C8911yescharacteristic
1075C2×D8C23×C8911yescharacteristic
1076C2×M16C23×C8911yescharacteristic
1077C2×M16C23×C8911yescharacteristic
1078C2×M16C23×C8911yescharacteristic
1079C2×M16C23×C8911yescharacteristic
1080C4⋊Q8—21no—
1081C4⋊Q8—21no—
1082C4⋊Q8C23×C8911yescharacteristic
1083C4⋊Q8C23×C8911yescharacteristic
1084C4⋊Q8C23×C8911yescharacteristic
1085C4⋊Q8C23×C8911yescharacteristic
1086C4⋊Q8C23×C8911yescharacteristic
1087C4⋊Q8C23×C8911yescharacteristic
1088#127C23×C8911yescharacteristic
1089#127C23×C8911yescharacteristic
1090#126—21no—
1091#126—21no—
1092#126—21no—
1093#126—21no—
1094#126—21no—
1095#126—21no—
1096#126—21no—
1097#126—21no—
1098#126—21no—
1099#126—21no—
1100#126—21no—
1101#126—21no—
1102#125—21no—
1103#125—21no—
1104#125—21no—
1105#125—21no—
1106#125—21no—
1107#125—21no—
1108#125—21no—
1109#125—21no—
1110#125C23×C8911yescharacteristic
1111#125C23×C8911yescharacteristic
1112#125C23×C8911yescharacteristic
1113#125C23×C8911yescharacteristic
1114#124—21no—
1115#124—21no—
1116#124—21no—
1117#124—21no—
1118#124—21no—
1119#124—21no—
1120#124C23×C8911yescharacteristic
1121#124C23×C8911yescharacteristic
1122#124C23×C8911yescharacteristic
1123#124C23×C8911yescharacteristic
1124#123—21no—
1125#123—21no—
1126#123—21no—
1127#123—21no—
1128#123—21no—
1129#123—21no—
1130#123—21no—
1131#123—21no—
1132#123—21no—
1133#123—21no—
1134#123—21no—
1135#123—21no—
1136#123—21no—
1137#123—21no—
1138#123—21no—
1139#123—21no—
1140C22⋊Q8—21no—
1141C22⋊Q8—21no—
1142C22⋊Q8—21no—
1143C22⋊Q8—21no—
1144C22⋊Q8—21no—
1145C22⋊Q8—21no—
1146C22⋊Q8—21no—
1147C22⋊Q8—21no—
1148C22⋊Q8—21no—
1149C22⋊Q8—21no—
1150C22⋊Q8—21no—
1151C22⋊Q8—21no—
1152C22⋊Q8—21no—
1153C22⋊Q8—21no—
1154C22⋊Q8C23×C8911yescharacteristic
1155C22⋊Q8C23×C8911yescharacteristic
1156C22⋊Q8C23×C8911yescharacteristic
1157C22⋊Q8C23×C8911yescharacteristic
1158C22⋊Q8C23×C8911yescharacteristic
1159C22⋊Q8C23×C8911yescharacteristic
1160C22⋊Q8C23×C8911yescharacteristic
1161C22⋊Q8C23×C8911yescharacteristic
1162#121—21no—
1163#121—21no—
1164#121—21no—
1165#121—21no—
1166#121—21no—
1167#121—21no—
1168#121—21no—
1169#121—21no—
1170#121—21no—
1171#121—21no—
1172#121C23×C8911yescharacteristic
1173#121C23×C8911yescharacteristic
1174#121C23×C8911yescharacteristic
1175#121C23×C8911yescharacteristic
1176#121C23×C8911yescharacteristic
1177#121C23×C8911yescharacteristic
1178#121C23×C8911yescharacteristic
1179#121C23×C8911yescharacteristic
1180#120—21no—
1181#120—21no—
1182#120—21no—
1183#120—21no—
1184C4×Q8—21no—
1185C4×Q8—21no—
1186C4×Q8—21no—
1187C4×Q8—21no—
1188C4×Q8C23×C8911yescharacteristic
1189C4×Q8C23×C8911yescharacteristic
1190C4×Q8C23×C8911yescharacteristic
1191C4×Q8C23×C8911yescharacteristic
1192C4×Q8C23×C8911yescharacteristic
1193C4×Q8C23×C8911yescharacteristic
1194C4×Q8C23×C8911yescharacteristic
1195C4×Q8C23×C8911yescharacteristic
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4—21no—
1200C4×D4—21no—
1201C4×D4—21no—
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—21no—
1206C4×D4—21no—
1207C4×D4—21no—
1208C4×D4—21no—
1209C4×D4—21no—
1210C4×D4—21no—
1211C4×D4—21no—
1212C4×D4C23×C8911yescharacteristic
1213C4×D4C23×C8911yescharacteristic
1214C4×D4C23×C8911yescharacteristic
1215C4×D4C23×C8911yescharacteristic
1216C4×D4C23×C8911yescharacteristic
1217C4×D4C23×C8911yescharacteristic
1218C4×D4C23×C8911yescharacteristic
1219C4×D4C23×C8911yescharacteristic
1220#117—21no—
1221#117—21no—
1222#117—21no—
1223#117—21no—
1224#117—21no—
1225#117—21no—
1226#117—21no—
1227#117—21no—
1228#117—21no—
1229#117—21no—
1230#117D4×C8911yescharacteristic
1231#117D4×C8911yescharacteristic
1232#117D4×C8911yescharacteristic
1233#117D4×C8911yescharacteristic
1234#117C23×C8911yescharacteristic
1235#117C23×C8911yescharacteristic
1236#117C23×C8911yescharacteristic
1237#117C23×C8911yescharacteristic
1238#117C23×C8911yescharacteristic
1239#117C23×C8911yescharacteristic
1240C2×C4⋊C4—21no—
1241C2×C4⋊C4—21no—
1242C2×C4⋊C4—21no—
1243C2×C4⋊C4D4×C8911yescharacteristic
1244C2×C4⋊C4D4×C8911yescharacteristic
1245C2×C4⋊C4C23×C8911yescharacteristic
1246C2×C4⋊C4C23×C8911yescharacteristic
1247C2×C22⋊C4—21no—
1248C2×C22⋊C4—21no—
1249C2×C22⋊C4—21no—
1250C2×C22⋊C4—21no—
1251C2×C22⋊C4D4×C8911yescharacteristic
1252C2×C22⋊C4D4×C8911yescharacteristic
1253C2×C42C23×C8911yescharacteristic
1254C2×C42C23×C8911yescharacteristic
1255#107C23×C8911yescharacteristic
1256#107C23×C8911yescharacteristic
1257#107C23×C8911yescharacteristic
1258#107C23×C8911yescharacteristic
1259#107C23×C8911yescharacteristic
1260#107C23×C8911yescharacteristic
1261#107C23×C8911yescharacteristic
1262#107C23×C8911yescharacteristic
1263#107C23×C8911yescharacteristic
1264#107C23×C8911yescharacteristic
1265#106C23×C8911yescharacteristic
1266#106C23×C8911yescharacteristic
1267#106C23×C8911yescharacteristic
1268#106C23×C8911yescharacteristic
1269#106C23×C8911yescharacteristic
1270#106C23×C8911yescharacteristic
1271C4⋊C8C23×C8911yescharacteristic
1272C4⋊C8C23×C8911yescharacteristic
1273C4⋊C8C23×C8911yescharacteristic
1274C4⋊C8C23×C8911yescharacteristic
1275C4⋊C8C23×C8911yescharacteristic
1276C4⋊C8C23×C8911yescharacteristic
1277C4⋊C8C23×C8911yescharacteristic
1278C4⋊C8C23×C8911yescharacteristic
1279#103C23×C8911yescharacteristic
1280#103C23×C8911yescharacteristic
1281#103C23×C8911yescharacteristic
1282#103C23×C8911yescharacteristic
1283#103C23×C8911yescharacteristic
1284#103C23×C8911yescharacteristic
1285#103C23×C8911yescharacteristic
1286#103C23×C8911yescharacteristic
1287#103C23×C8911yescharacteristic
1288#103C23×C8911yescharacteristic
1289#103C23×C8911yescharacteristic
1290#103C23×C8911yescharacteristic
1291#103C23×C8911yescharacteristic
1292#103C23×C8911yescharacteristic
1293#103C23×C8911yescharacteristic
1294#103C23×C8911yescharacteristic
1295#102C23×C8911yescharacteristic
1296#102C23×C8911yescharacteristic
1297#102C23×C8911yescharacteristic
1298#102C23×C8911yescharacteristic
1299#102C23×C8911yescharacteristic
1300#102C23×C8911yescharacteristic
1301#102C23×C8911yescharacteristic
1302#102C23×C8911yescharacteristic
1303#102C23×C8911yescharacteristic
1304#102C23×C8911yescharacteristic
1305#102C23×C8911yescharacteristic
1306#102C23×C8911yescharacteristic
1307#102C23×C8911yescharacteristic
1308#102C23×C8911yescharacteristic
1309#102C23×C8911yescharacteristic
1310#102C23×C8911yescharacteristic
1311C22⋊C8C23×C8911yescharacteristic
1312C22⋊C8C23×C8911yescharacteristic
1313C22⋊C8C23×C8911yescharacteristic
1314C22⋊C8C23×C8911yescharacteristic
1315C22⋊C8C23×C8911yescharacteristic
1316C22⋊C8C23×C8911yescharacteristic
1317C22⋊C8C23×C8911yescharacteristic
1318C22⋊C8C23×C8911yescharacteristic
1319#97C23×C8911yescharacteristic
1320#97C23×C8911yescharacteristic
1321#97C23×C8911yescharacteristic
1322#97C23×C8911yescharacteristic
1323C4×C8C23×C8911yescharacteristic
1324C4×C8C23×C8911yescharacteristic
1325C4×C8C23×C8911yescharacteristic
1326C4×C8C23×C8911yescharacteristic
1327C24—21no—
1328C24C2×D4×C8911yescharacteristic
1329#41—41no—
1330#41—41no—
1331#41—41no—
1332#41—41no—
1333#41—82no—
1334#41—82no—
1335C2×Q8—21no—
1336C2×Q8—21no—
1337C2×Q8—21no—
1338C2×Q8—21no—
1339C2×Q8—21no—
1340C2×Q8—41no—
1341C2×Q8—41no—
1342C2×Q8C24×C8911yescharacteristic
1343C2×Q8C24×C8911yescharacteristic
1344C2×Q8C24×C8911yescharacteristic
1345C2×Q8C24×C8911yescharacteristic
1346C2×D4—21no—
1347C2×D4—21no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—41no—
1362C2×D4—41no—
1363C2×D4—82no—
1364C2×D4C24×C8911yescharacteristic
1365C2×D4C24×C8911yescharacteristic
1366C2×D4C24×C8911yescharacteristic
1367C2×D4C24×C8911yescharacteristic
1368C22×C4—21no—
1369C22×C4—21no—
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—21no—
1374C22×C4—21no—
1375C22×C4—21no—
1376C22×C4—21no—
1377C22×C4—21no—
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4C2×D4×C8911yescharacteristic
1384C22×C4C2×D4×C8911yescharacteristic
1385C22×C4C2×D4×C8911yescharacteristic
1386C22×C4C2×D4×C8911yescharacteristic
1387C22×C4C2×D4×C8911yescharacteristic
1388C22×C4C2×D4×C8911yescharacteristic
1389C22×C4C2×D4×C8911yescharacteristic
1390C22×C4C24×C8911yescharacteristic
1391C22×C4C24×C8911yescharacteristic
1392C22×C4C24×C8911yescharacteristic
1393Q16—41no—
1394Q16—41no—
1395Q16—41no—
1396SD16—41no—
1397SD16—41no—
1398SD16—41no—
1399SD16—41no—
1400SD16—41no—
1401SD16—41no—
1402SD16—41no—
1403SD16—41no—
1404SD16—41no—
1405SD16—41no—
1406D8—41no—
1407D8—41no—
1408D8—41no—
1409M16—41no—
1410M16—41no—
1411M16—41no—
1412M16—41no—
1413C2×C8C24×C8911yescharacteristic
1414C2×C8C24×C8911yescharacteristic
1415C2×C8C24×C8911yescharacteristic
1416C2×C8C24×C8911yescharacteristic
1417C2×C8C24×C8911yescharacteristic
1418C2×C8C24×C8911yescharacteristic
1419C2×C8C24×C8911yescharacteristic
1420C2×C8C24×C8911yescharacteristic
1421C4⋊C4—21no—
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—21no—
1430C4⋊C4—21no—
1431C4⋊C4—21no—
1432C4⋊C4—21no—
1433C4⋊C4—21no—
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—21no—
1440C4⋊C4—21no—
1441C4⋊C4—21no—
1442C4⋊C4—21no—
1443C4⋊C4—21no—
1444C4⋊C4—21no—
1445C4⋊C4—21no—
1446C4⋊C4—21no—
1447C4⋊C4—21no—
1448C4⋊C4—21no—
1449C4⋊C4—21no—
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4C2×D4×C8911yescharacteristic
1456C4⋊C4C2×D4×C8911yescharacteristic
1457C4⋊C4C2×D4×C8911yescharacteristic
1458C4⋊C4C2×D4×C8911yescharacteristic
1459C4⋊C4C2×D4×C8911yescharacteristic
1460C4⋊C4C2×D4×C8911yescharacteristic
1461C4⋊C4C2×D4×C8911yescharacteristic
1462C4⋊C4C2×D4×C8911yescharacteristic
1463C4⋊C4C24×C8911yescharacteristic
1464C4⋊C4C24×C8911yescharacteristic
1465C4⋊C4C24×C8911yescharacteristic
1466C4⋊C4C24×C8911yescharacteristic
1467C4⋊C4C24×C8911yescharacteristic
1468C4⋊C4C24×C8911yescharacteristic
1469C4⋊C4C24×C8911yescharacteristic
1470C4⋊C4C24×C8911yescharacteristic
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—21no—
1493C22⋊C4—21no—
1494C22⋊C4—21no—
1495C22⋊C4—21no—
1496C22⋊C4—21no—
1497C22⋊C4—21no—
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4C2×D4×C8911yescharacteristic
1506C22⋊C4C2×D4×C8911yescharacteristic
1507C22⋊C4C2×D4×C8911yescharacteristic
1508C22⋊C4C2×D4×C8911yescharacteristic
1509C22⋊C4C2×D4×C8911yescharacteristic
1510C22⋊C4C2×D4×C8911yescharacteristic
1511C22⋊C4C2×D4×C8911yescharacteristic
1512C22⋊C4C2×D4×C8911yescharacteristic
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—21no—
1520C42—21no—
1521C42—21no—
1522C42—21no—
1523C42C2×D4×C8911yescharacteristic
1524C42C2×D4×C8911yescharacteristic
1525C42C2×D4×C8911yescharacteristic
1526C42C2×D4×C8911yescharacteristic
1527C42C24×C8911yescharacteristic
1528C42C24×C8911yescharacteristic
1529C42C24×C8911yescharacteristic
1530C42C24×C8911yescharacteristic
1531C23—21no—
1532C23—21no—
1533C23—21no—
1534C23—21no—
1535C23—41no—
1536C23—41no—
1537C23—41no—
1538C23—42no—
1539C23—81no—
1540C23—81no—
1541C23C22×D4×C8911yescharacteristic
1542C23C22×D4×C8911yescharacteristic
1543C23C22×D4×C8911yescharacteristic
1544Q8—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—21no—
1548Q8—21no—
1549Q8—21no—
1550Q8—21no—
1551Q8—21no—
1552Q8—42no—
1553Q8—81no—
1554Q8—81no—
1555Q8—81no—
1556Q8—81no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—42no—
1566D4—42no—
1567D4—42no—
1568D4—42no—
1569D4—42no—
1570D4—42no—
1571D4—42no—
1572D4—81no—
1573D4—81no—
1574D4—81no—
1575D4—81no—
1576D4—81no—
1577D4—81no—
1578D4—81no—
1579D4—81no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—41no—
1599C2×C4—41no—
1600C2×C4—41no—
1601C2×C4—41no—
1602C2×C4—41no—
1603C2×C4—41no—
1604C2×C4—41no—
1605C2×C4—42no—
1606C2×C4—42no—
1607C2×C4—42no—
1608C2×C4—81no—
1609C2×C4—81no—
1610C2×C4—81no—
1611C2×C4—81no—
1612C2×C4—81no—
1613C2×C4—81no—
1614C2×C4—81no—
1615C2×C4—81no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4C22×D4×C8911yescharacteristic
1619C2×C4C22×D4×C8911yescharacteristic
1620C2×C4C22×D4×C8911yescharacteristic
1621C2×C4C22×D4×C8911yescharacteristic
1622C2×C4C22×D4×C8911yescharacteristic
1623C2×C4C22×D4×C8911yescharacteristic
1624C2×C4C22×D4×C8911yescharacteristic
1625C2×C4C22×D4×C8911yescharacteristic
1626C2×C4C22×D4×C8911yescharacteristic
1627C2×C4C22×D4×C8911yescharacteristic
1628C2×C4C22×D4×C8911yescharacteristic
1629C2×C4C25×C8911yescharacteristic
1630C8—21no—
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—21no—
1635C8—21no—
1636C8—21no—
1637C8—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—21no—
1646C22—21no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—82no—
1660C22—162no—
1661C22C23×D4×C8911yescharacteristic
1662C4—21no—
1663C4—21no—
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—21no—
1669C4—21no—
1670C4—21no—
1671C4—21no—
1672C4—21no—
1673C4—41no—
1674C4—41no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4#585×C8911yescharacteristic
1686C4#585×C8911yescharacteristic
1687C2—41no—
1688C2—41no—
1689C2—41no—
1690C2—81no—
1691C2—81no—
1692C2—81no—
1693C2—81no—
1694C2C89×#344911yescharacteristic
1695C2C89×#358511yescharacteristic
1696C2C89×#358611yescharacteristic
subgroupG/H
center, socleC22×C89C23×D4
commutator, Frattini, cosocleC2×C4C25×C89
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C89 ◁ C2×#117×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#3495C2semidirect
2. C89×#3494C2semidirect
3. C89×#3256C2semidirect
4. C89×#3254C2semidirect
5. C89×#3252C2semidirect
6. C89×#3251C2semidirect
7. C89×#3243C2semidirect
8. C89×#3243C2semidirect
9. C89×#3242C2semidirect
10. C89×#3241C2semidirect
11. C89×#3225C2semidirect
12. C89×#3224C2semidirect
13. C89×#3222C2semidirect
14. C89×#3221C2semidirect
15. C89×#3197C2semidirect
16. C89×#3196C2semidirect
17. C89×#3194C2semidirect
18. C89×#3193C2semidirect
19. C89×#3183C2semidirect
20. C89×#3182C2semidirect
21. C89×#3172C2semidirect
22. C89×#3171C2semidirect
23. C89×#3126C2semidirect
24. C89×#3124C2semidirect
25. C89×#3124C2semidirect
26. C89×#3123C2semidirect
27. C89×#3121C2semidirect
28. C89×#3120C2semidirect
29. C89×#3119C2semidirect
30. C89×#3118C2semidirect
31. C89×#2921C2semidirect
49. #544×C89C22semidirect
58. #536×C89C22semidirect
60. #533×C89C22semidirect
61. #533×C89C22semidirect
66. #529×C89C22semidirect
67. #529×C89C22semidirect
73. #520×C89C22semidirect
74. #519×C89C22semidirect
77. #501×C89C22semidirect
78. #501×C89C22semidirect
79. #500×C89C22semidirect
80. #499×C89C22semidirect
81. #497×C89C22semidirect
82. #496×C89C22semidirect
83. #495×C89C22semidirect
84. #492×C89C22semidirect
85. #491×C89C22semidirect
86. #490×C89C22semidirect
87. #489×C89C22semidirect
88. #489×C89C22semidirect
89. #488×C89C22semidirect
90. #488×C89C22semidirect
91. #487×C89C22semidirect
92. #486×C89C22semidirect
96. #485×C89C22semidirect
99. #484×C89C22semidirect
104. #482×C89C22semidirect
105. #481×C89C22semidirect
109. #479×C89C22semidirect
110. #479×C89C22semidirect
111. #479×C89C22semidirect
112. #479×C89C22semidirect
113. #478×C89C22semidirect
114. #478×C89C22semidirect
115. #478×C89C22semidirect
116. #478×C89C22semidirect
117. #477×C89C22semidirect
118. #477×C89C22semidirect
119. #477×C89C22semidirect
120. #476×C89C22semidirect
121. #475×C89C22semidirect
122. #474×C89C22semidirect
123. #474×C89C22semidirect
124. #474×C89C22semidirect
125. #470×C89C22semidirect
126. #470×C89C22semidirect
127. #470×C89C22semidirect
130. #469×C89C22semidirect
137. #468×C89C22semidirect
138. #468×C89C22semidirect
139. #468×C89C22semidirect
140. #468×C89C22semidirect
141. #464×C89C22semidirect
142. #464×C89C22semidirect
143. #464×C89C22semidirect
144. #464×C89C22semidirect
145. #463×C89C22semidirect
146. #463×C89C22semidirect
147. #463×C89C22semidirect
148. #463×C89C22semidirect
149. #462×C89C22semidirect
150. #461×C89C22semidirect
151. #461×C89C22semidirect
152. #461×C89C22semidirect
153. #460×C89C22semidirect
154. #460×C89C22semidirect
155. #460×C89C22semidirect
156. #459×C89C22semidirect
160. #452×C89C22semidirect
161. #451×C89C22semidirect
168. #449×C89C22semidirect
171. #448×C89C22semidirect
173. #442×C89C22semidirect
174. #441×C89C22semidirect
175. #440×C89C22semidirect
176. #440×C89C22semidirect
177. #440×C89C22semidirect
178. #440×C89C22semidirect
179. #440×C89C22semidirect
180. #440×C89C22semidirect
181. C4×Q16×C89C22semidirect
182. C4×Q16×C89C22semidirect
183. C4×SD16×C89C22semidirect
184. C4×SD16×C89C22semidirect
185. C4×SD16×C89C22semidirect
186. C4×SD16×C89C22semidirect
187. C4×D8×C89C22semidirect
188. C4×D8×C89C22semidirect
193. #433×C89C22semidirect
194. #433×C89C22semidirect
195. #433×C89C22semidirect
196. #433×C89C22semidirect
197. #423×C89C22semidirect
198. #423×C89C22semidirect
201. C4×M16×C89C22semidirect
202. C4×M16×C89C22semidirect
838. #61004C89direct (N × H)
849. #3495C2×C89semidirect
850. #3494C2×C89semidirect
851. #3256C2×C89semidirect
852. #3254C2×C89semidirect
853. #3252C2×C89semidirect
854. #3251C2×C89semidirect
855. #3243C2×C89semidirect
856. #3243C2×C89semidirect
857. #3242C2×C89semidirect
858. #3241C2×C89semidirect
859. #3225C2×C89semidirect
860. #3224C2×C89semidirect
861. #3222C2×C89semidirect
862. #3221C2×C89semidirect
863. #3197C2×C89semidirect
864. #3196C2×C89semidirect
865. #3194C2×C89semidirect
866. #3193C2×C89semidirect
867. #3183C2×C89semidirect
868. #3182C2×C89semidirect
869. #3172C2×C89semidirect
870. #3171C2×C89semidirect
871. #3126C2×C89semidirect
872. #3124C2×C89semidirect
873. #3124C2×C89semidirect
874. #3123C2×C89semidirect
875. #3121C2×C89semidirect
876. #3120C2×C89semidirect
877. #3119C2×C89semidirect
878. #3118C2×C89semidirect
879. #2921C2×C89semidirect
880. C89#61004direct (N × H)
898. #544C22×C89semidirect
907. #536C22×C89semidirect
909. #533C22×C89semidirect
910. #533C22×C89semidirect
915. #529C22×C89semidirect
916. #529C22×C89semidirect
922. #520C22×C89semidirect
923. #519C22×C89semidirect
926. #501C22×C89semidirect
927. #501C22×C89semidirect
928. #500C22×C89semidirect
929. #499C22×C89semidirect
930. #497C22×C89semidirect
931. #496C22×C89semidirect
932. #495C22×C89semidirect
933. #492C22×C89semidirect
934. #491C22×C89semidirect
935. #490C22×C89semidirect
936. #489C22×C89semidirect
937. #489C22×C89semidirect
938. #488C22×C89semidirect
939. #488C22×C89semidirect
940. #487C22×C89semidirect
941. #486C22×C89semidirect
945. #485C22×C89semidirect
948. #484C22×C89semidirect
953. #482C22×C89semidirect
954. #481C22×C89semidirect
958. #479C22×C89semidirect
959. #479C22×C89semidirect
960. #479C22×C89semidirect
961. #479C22×C89semidirect
962. #478C22×C89semidirect
963. #478C22×C89semidirect
964. #478C22×C89semidirect
965. #478C22×C89semidirect
966. #477C22×C89semidirect
967. #477C22×C89semidirect
968. #477C22×C89semidirect
969. #476C22×C89semidirect
970. #475C22×C89semidirect
971. #474C22×C89semidirect
972. #474C22×C89semidirect
973. #474C22×C89semidirect
974. #470C22×C89semidirect
975. #470C22×C89semidirect
976. #470C22×C89semidirect
979. #469C22×C89semidirect
986. #468C22×C89semidirect
987. #468C22×C89semidirect
988. #468C22×C89semidirect
989. #468C22×C89semidirect
990. #464C22×C89semidirect
991. #464C22×C89semidirect
992. #464C22×C89semidirect
993. #464C22×C89semidirect
994. #463C22×C89semidirect
995. #463C22×C89semidirect
996. #463C22×C89semidirect
997. #463C22×C89semidirect
998. #462C22×C89semidirect
999. #461C22×C89semidirect
1000. #461C22×C89semidirect
1001. #461C22×C89semidirect
1002. #460C22×C89semidirect
1003. #460C22×C89semidirect
1004. #460C22×C89semidirect
1005. #459C22×C89semidirect
1009. #452C22×C89semidirect
1010. #451C22×C89semidirect
1017. #449C22×C89semidirect
1020. #448C22×C89semidirect
1022. #442C22×C89semidirect
1023. #441C22×C89semidirect
1024. #440C22×C89semidirect
1025. #440C22×C89semidirect
1026. #440C22×C89semidirect
1027. #440C22×C89semidirect
1028. #440C22×C89semidirect
1029. #440C22×C89semidirect
1030. C4×Q16C22×C89semidirect
1031. C4×Q16C22×C89semidirect
1032. C4×SD16C22×C89semidirect
1033. C4×SD16C22×C89semidirect
1034. C4×SD16C22×C89semidirect
1035. C4×SD16C22×C89semidirect
1036. C4×D8C22×C89semidirect
1037. C4×D8C22×C89semidirect
1042. #433C22×C89semidirect
1043. #433C22×C89semidirect
1044. #433C22×C89semidirect
1045. #433C22×C89semidirect
1046. #423C22×C89semidirect
1047. #423C22×C89semidirect
1050. C4×M16C22×C89semidirect
1051. C4×M16C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#34952
C89×#34942
C89×#32562
C89×#32542
C89×#32522
C89×#32512
C89×#32432
C89×#32422
C89×#32412
C89×#32252
C89×#32242
C89×#32222
C89×#32212
C89×#31972
C89×#31962
C89×#31942
C89×#31932
C89×#31832
C89×#31822
C89×#31722
C89×#31712
C89×#31262
C89×#31242
C89×#31232
C89×#31212
C89×#31202
C89×#31192
C89×#31182
C89×#29212
#6100489