Finite Group Databasebeta

← C89×#60996 #36438844

Subgroups — C89×#60996 #36438844

Order 22784.

1686 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3510C211yesmaximal, characteristic, complemented
2C89×#3461C211yesmaximal, characteristic, complemented
3C89×#3256C211yesmaximal, characteristic, complemented
4C89×#3252C211yesmaximal, characteristic, complemented
5C89×#3250C211yesmaximal, characteristic, complemented
6C89×#3248C211yesmaximal, characteristic, complemented
7C89×#3244C211yesmaximal, characteristic, complemented
8C89×#3243C211yesmaximal, characteristic, complemented
9C89×#3240C211yesmaximal, characteristic, complemented
10C89×#3231C211yesmaximal, characteristic, complemented
11C89×#3225C211yesmaximal, characteristic, complemented
12C89×#3225C211yesmaximal, characteristic, complemented
13C89×#3215C211yesmaximal, characteristic, complemented
14C89×#3211C211yesmaximal, characteristic, complemented
15C89×#3202C211yesmaximal, characteristic, complemented
16C89×#3201C211yesmaximal, characteristic, complemented
17C89×#3200C211yesmaximal, characteristic, complemented
18C89×#3198C211yesmaximal, characteristic
19C89×#3178C211yesmaximal, characteristic, complemented
20C89×#3178C211yesmaximal, characteristic, complemented
21C89×#3175C211yesmaximal, characteristic, complemented
22C89×#3173C211yesmaximal, characteristic, complemented
23C89×#3127C211yesmaximal, characteristic, complemented
24C89×#3123C211yesmaximal, characteristic, complemented
25C89×#3121C211yesmaximal, characteristic, complemented
26C89×#3118C211yesmaximal, characteristic, complemented
27C89×#3117C211yesmaximal, characteristic, complemented
28C89×#3111C211yesmaximal, characteristic, complemented
29C89×#3108C211yesmaximal, characteristic, complemented
30C89×#3102C211yesmaximal, characteristic, complemented
31C89×#2925C211yesmaximal, characteristic, complemented
32#559×C89—21no—
33#559×C89—21no—
34#556×C89—21no—
35#556×C89—21no—
36#551×C89—21no—
37#551×C89—21no—
38#551×C89—21no—
39#551×C89—21no—
40#544×C89C2211yescharacteristic, complemented
41#542×C89—21no—
42#542×C89C2211yescharacteristic
43#542×C89C2211yescharacteristic
44#542×C89C2211yescharacteristic
45#542×C89C2211yescharacteristic
46#542×C89C2211yescharacteristic
47#542×C89C2211yescharacteristic, complemented
48#541×C89—21no—
49#541×C89C2211yescharacteristic
50#541×C89C2211yescharacteristic, complemented
51#539×C89—21no—
52#539×C89—21no—
53#537×C89C2211yescharacteristic
54#536×C89C2211yescharacteristic
55#536×C89C2211yescharacteristic
56#536×C89C2211yescharacteristic, complemented
57#535×C89C2211yescharacteristic
58#533×C89—21no—
59#533×C89C2211yescharacteristic
60#533×C89C2211yescharacteristic
61#533×C89C2211yescharacteristic, complemented
62#529×C89—21no—
63#529×C89—21no—
64#529×C89—21no—
65#529×C89C2211yescharacteristic
66#529×C89C2211yescharacteristic
67#529×C89C2211yescharacteristic
68#529×C89C2211yescharacteristic
69#529×C89C2211yescharacteristic
70#529×C89C2211yescharacteristic, complemented
71C2×#124×C89C2211yescharacteristic
72#519×C89C2211yescharacteristic
73#518×C89C2211yescharacteristic
74C4×#41×C89C2211yescharacteristic
75C4×#41×C89C2211yescharacteristic, complemented
76C2×C4×Q8×C89C2211yescharacteristic, complemented
77#501×C89C2211yescharacteristic, complemented
78#501×C89C2211yescharacteristic, complemented
79#500×C89C2211yescharacteristic, complemented
80#498×C89C2211yescharacteristic, complemented
81#497×C89C2211yescharacteristic
82#497×C89C2211yescharacteristic
83#495×C89C2211yescharacteristic
84#495×C89C2211yescharacteristic
85#489×C89C2211yescharacteristic
86#489×C89C2211yescharacteristic
87#489×C89C2211yescharacteristic, complemented
88#489×C89C2211yescharacteristic, complemented
89#488×C89C2211yescharacteristic
90#488×C89C2211yescharacteristic
91#487×C89C2211yescharacteristic, complemented
92#487×C89C2211yescharacteristic, complemented
93#485×C89C2211yescharacteristic
94#485×C89C2211yescharacteristic
95#485×C89C2211yescharacteristic
96#485×C89C2211yescharacteristic
97#485×C89C2211yescharacteristic
98#485×C89C2211yescharacteristic
99#485×C89C2211yescharacteristic, complemented
100#485×C89C2211yescharacteristic, complemented
101#484×C89C2211yescharacteristic, complemented
102#483×C89C2211yescharacteristic, complemented
103#482×C89C2211yescharacteristic
104#482×C89C2211yescharacteristic
105#482×C89C2211yescharacteristic
106#482×C89C2211yescharacteristic
107#481×C89C2211yescharacteristic
108#480×C89C2211yescharacteristic
109#479×C89C2211yescharacteristic, complemented
110#479×C89C2211yescharacteristic, complemented
111#479×C89C2211yescharacteristic, complemented
112#479×C89C2211yescharacteristic, complemented
113#479×C89C2211yescharacteristic, complemented
114#479×C89C2211yescharacteristic, complemented
115#479×C89C2211yescharacteristic, complemented
116#479×C89C2211yescharacteristic, complemented
117#478×C89C2211yescharacteristic
118#478×C89C2211yescharacteristic
119#478×C89C2211yescharacteristic, complemented
120#478×C89C2211yescharacteristic, complemented
121#477×C89C2211yescharacteristic, complemented
122#476×C89C2211yescharacteristic
123#475×C89C2211yescharacteristic, complemented
124#474×C89C2211yescharacteristic
125#470×C89C2211yescharacteristic, complemented
126#470×C89C2211yescharacteristic, complemented
127#470×C89C2211yescharacteristic, complemented
128#469×C89C2211yescharacteristic
129#468×C89C2211yescharacteristic
130#468×C89C2211yescharacteristic
131#468×C89C2211yescharacteristic
132#468×C89C2211yescharacteristic, complemented
133#467×C89C2211yescharacteristic, complemented
134#467×C89C2211yescharacteristic, complemented
135#467×C89C2211yescharacteristic, complemented
136#466×C89C2211yescharacteristic
137#465×C89C2211yescharacteristic
138#465×C89C2211yescharacteristic
139#465×C89C2211yescharacteristic
140#465×C89C2211yescharacteristic, complemented
141#464×C89C2211yescharacteristic
142#464×C89C2211yescharacteristic
143#464×C89C2211yescharacteristic
144#464×C89C2211yescharacteristic
145#464×C89C2211yescharacteristic
146#464×C89C2211yescharacteristic
147#464×C89C2211yescharacteristic, complemented
148#464×C89C2211yescharacteristic, complemented
149#463×C89C2211yescharacteristic
150#463×C89C2211yescharacteristic
151#463×C89C2211yescharacteristic
152#463×C89C2211yescharacteristic
153#462×C89C2211yescharacteristic, complemented
154#462×C89C2211yescharacteristic, complemented
155#461×C89C2211yescharacteristic
156#461×C89C2211yescharacteristic
157#452×C89C2211yescharacteristic, complemented
158#452×C89C2211yescharacteristic, complemented
159#451×C89C2211yescharacteristic
160#451×C89C2211yescharacteristic
161#451×C89C2211yescharacteristic
162#451×C89C2211yescharacteristic, complemented
163#451×C89C2211yescharacteristic, complemented
164#450×C89C2211yescharacteristic
165#450×C89C2211yescharacteristic
166#450×C89C2211yescharacteristic
167#449×C89C2211yescharacteristic
168#449×C89C2211yescharacteristic
169#448×C89C2211yescharacteristic
170#448×C89C2211yescharacteristic
171#448×C89C2211yescharacteristic
172#447×C89C2211yescharacteristic
173#442×C89C2211yescharacteristic
174#441×C89C2211yescharacteristic, complemented
175#441×C89C2211yescharacteristic, complemented
176#441×C89C2211yescharacteristic, complemented
177#440×C89C2211yescharacteristic
178#440×C89C2211yescharacteristic
179#440×C89C2211yescharacteristic
180#440×C89C2211yescharacteristic, complemented
181C4×Q16×C89C2211yescharacteristic, complemented
182C4×Q16×C89C2211yescharacteristic, complemented
183C4×Q16×C89C2211yescharacteristic, complemented
184C4×SD16×C89C2211yescharacteristic
185C4×SD16×C89C2211yescharacteristic
186C4×SD16×C89C2211yescharacteristic
187C4×SD16×C89C2211yescharacteristic, complemented
188C4×D8×C89C2211yescharacteristic
189#433×C89C2211yescharacteristic
190#433×C89C2211yescharacteristic
191#433×C89C2211yescharacteristic, complemented
192#433×C89C2211yescharacteristic, complemented
193#432×C89C2211yescharacteristic
194#432×C89C2211yescharacteristic, complemented
195#431×C89C2211yescharacteristic
196#431×C89C2211yescharacteristic, complemented
197#423×C89C2211yescharacteristic, complemented
198C2×C4⋊C8×C89C2211yescharacteristic, complemented
199#408×C89C2211yescharacteristic
200#408×C89C2211yescharacteristic
201#405×C89C2211yescharacteristic, complemented
202#405×C89C2211yescharacteristic, complemented
203C2×#41×C89C2311yescharacteristic
204C2×#41×C89C2311yescharacteristic
205C22×Q8×C89C2311yescharacteristic
206C22×Q8×C89C2311yescharacteristic
207C22×D4×C89C2311yescharacteristic
208C2×Q16×C89C2311yescharacteristic
209C2×Q16×C89C2311yescharacteristic
210C2×Q16×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×D8×C89C2311yescharacteristic
223C2×D8×C89C2311yescharacteristic
224C2×M16×C89C2311yescharacteristic
225C2×M16×C89C2311yescharacteristic
226C22×C8×C89C2311yescharacteristic
227C22×C8×C89C2311yescharacteristic
228C4⋊Q8×C89—21no—
229C4⋊Q8×C89—21no—
230C4⋊Q8×C89—21no—
231C4⋊Q8×C89C2311yescharacteristic
232C4⋊Q8×C89C2311yescharacteristic
233C4⋊Q8×C89C2311yescharacteristic
234C4⋊Q8×C89C2311yescharacteristic
235C4⋊Q8×C89C2311yescharacteristic
236C4⋊Q8×C89C2311yescharacteristic
237#127×C89—21no—
238#126×C89—21no—
239#126×C89—21no—
240#126×C89—21no—
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#126×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×C89—21no—
272#124×C89—21no—
273#124×C89—21no—
274#124×C89—21no—
275#124×C89—21no—
276#124×C89C2311yescharacteristic
277#124×C89C2311yescharacteristic
278#124×C89C2311yescharacteristic
279#124×C89C2311yescharacteristic
280#124×C89C2311yescharacteristic
281#124×C89C2311yescharacteristic
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—
291#123×C89—21no—
292#123×C89—21no—
293#123×C89—21no—
294#123×C89—21no—
295#123×C89—21no—
296#123×C89—21no—
297#123×C89—21no—
298#123×C89—21no—
299#123×C89—21no—
300C22⋊Q8×C89—21no—
301C22⋊Q8×C89—21no—
302C22⋊Q8×C89—21no—
303C22⋊Q8×C89—21no—
304C22⋊Q8×C89—21no—
305C22⋊Q8×C89—21no—
306C22⋊Q8×C89—21no—
307C22⋊Q8×C89—21no—
308C22⋊Q8×C89—21no—
309C22⋊Q8×C89—21no—
310C22⋊Q8×C89—21no—
311C22⋊Q8×C89—21no—
312C22⋊Q8×C89—21no—
313C22⋊Q8×C89—21no—
314C22⋊Q8×C89—21no—
315C22⋊Q8×C89C2311yescharacteristic
316C22⋊Q8×C89C2311yescharacteristic
317C22⋊Q8×C89C2311yescharacteristic
318C22⋊Q8×C89C2311yescharacteristic
319C22⋊Q8×C89C2311yescharacteristic
320C22⋊Q8×C89C2311yescharacteristic
321C22⋊Q8×C89C2311yescharacteristic
322C22⋊Q8×C89C2311yescharacteristic
323C22⋊Q8×C89C2311yescharacteristic
324C22⋊Q8×C89C2311yescharacteristic
325#121×C89—21no—
326#121×C89—21no—
327#121×C89—21no—
328#121×C89C2311yescharacteristic
329#121×C89C2311yescharacteristic
330#121×C89C2311yescharacteristic
331#121×C89C2311yescharacteristic
332#121×C89C2311yescharacteristic
333#121×C89C2311yescharacteristic
334#120×C89—21no—
335#120×C89—21no—
336C4×Q8×C89—21no—
337C4×Q8×C89—21no—
338C4×Q8×C89—21no—
339C4×Q8×C89—21no—
340C4×Q8×C89—21no—
341C4×Q8×C89—21no—
342C4×Q8×C89—21no—
343C4×Q8×C89—21no—
344C4×Q8×C89D411yescharacteristic
345C4×Q8×C89D411yescharacteristic
346C4×Q8×C89C2311yescharacteristic
347C4×Q8×C89C2311yescharacteristic
348C4×Q8×C89C2311yescharacteristic
349C4×Q8×C89C2311yescharacteristic
350C4×Q8×C89C2311yescharacteristic
351C4×Q8×C89C2311yescharacteristic
352C4×Q8×C89C2311yescharacteristic
353C4×Q8×C89C2311yescharacteristic
354C4×Q8×C89C2311yescharacteristic
355C4×Q8×C89C2311yescharacteristic
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×C89—21no—
364C4×D4×C89—21no—
365C4×D4×C89—21no—
366C4×D4×C89D411yescharacteristic
367C4×D4×C89D411yescharacteristic
368C4×D4×C89D411yescharacteristic
369C4×D4×C89D411yescharacteristic
370C4×D4×C89D411yescharacteristic
371C4×D4×C89D411yescharacteristic
372C4×D4×C89C2311yescharacteristic
373C4×D4×C89C2311yescharacteristic
374C4×D4×C89C2311yescharacteristic
375C4×D4×C89C2311yescharacteristic
376C4×D4×C89C2311yescharacteristic
377C4×D4×C89C2311yescharacteristic
378#117×C89—21no—
379#117×C89—21no—
380#117×C89—21no—
381#117×C89—21no—
382#117×C89—21no—
383#117×C89—21no—
384#117×C89—21no—
385#117×C89—21no—
386#117×C89—21no—
387#117×C89—21no—
388#117×C89—21no—
389#117×C89C2311yescharacteristic
390#117×C89C2311yescharacteristic
391#117×C89C2311yescharacteristic
392#117×C89C2311yescharacteristic
393#117×C89C2311yescharacteristic
394#117×C89C2311yescharacteristic
395C2×C4⋊C4×C89—21no—
396C2×C4⋊C4×C89C2311yescharacteristic
397C2×C22⋊C4×C89—21no—
398C2×C22⋊C4×C89—21no—
399C2×C22⋊C4×C89—21no—
400C2×C22⋊C4×C89—21no—
401C2×C42×C89—21no—
402C2×C42×C89—21no—
403C2×C42×C89C2311yescharacteristic
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#106×C89C2311yescharacteristic
415#106×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#103×C89C2311yescharacteristic
447#103×C89C2311yescharacteristic
448#103×C89C2311yescharacteristic
449#103×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—
479#41×C89—41no—
480#41×C89—41no—
481#41×C89—41no—
482#41×C89—41no—
483C2×Q8×C89—21no—
484C2×Q8×C89—21no—
485C2×Q8×C89—21no—
486C2×Q8×C89—21no—
487C2×Q8×C89—21no—
488C2×Q8×C89—21no—
489C2×Q8×C89—41no—
490C2×Q8×C89—41no—
491C2×Q8×C89—41no—
492C2×Q8×C89—41no—
493C2×Q8×C89C2×D411yescharacteristic
494C2×Q8×C89C2411yescharacteristic
495C2×Q8×C89C2411yescharacteristic
496C2×Q8×C89C2411yescharacteristic
497C2×Q8×C89C2411yescharacteristic
498C2×Q8×C89C2411yescharacteristic
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—41no—
508C2×D4×C89—41no—
509C2×D4×C89C2×D411yescharacteristic
510C2×D4×C89C2×D411yescharacteristic
511C2×D4×C89C2×D411yescharacteristic
512C2×D4×C89C2411yescharacteristic
513C2×D4×C89C2411yescharacteristic
514C2×D4×C89C2411yescharacteristic
515C22×C4×C89—21no—
516C22×C4×C89—21no—
517C22×C4×C89—21no—
518C22×C4×C89—21no—
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×C89C2×D411yescharacteristic
526C22×C4×C89C2×D411yescharacteristic
527C22×C4×C89C2×D411yescharacteristic
528C22×C4×C89C2×D411yescharacteristic
529C22×C4×C89C2×D411yescharacteristic
530C22×C4×C89C2×D411yescharacteristic
531C22×C4×C89C2411yescharacteristic
532C22×C4×C89C2411yescharacteristic
533C22×C4×C89C2411yescharacteristic
534Q16×C89—41no—
535Q16×C89—41no—
536Q16×C89—41no—
537Q16×C89—41no—
538Q16×C89—41no—
539Q16×C89—41no—
540SD16×C89—41no—
541SD16×C89—41no—
542SD16×C89—41no—
543SD16×C89—41no—
544SD16×C89—41no—
545SD16×C89—41no—
546SD16×C89—41no—
547SD16×C89—41no—
548D8×C89—41no—
549D8×C89—41no—
550M16×C89—41no—
551M16×C89—41no—
552C2×C8×C89—41no—
553C2×C8×C89—41no—
554C2×C8×C89C2411yescharacteristic
555C2×C8×C89C2411yescharacteristic
556C2×C8×C89C2411yescharacteristic
557C2×C8×C89C2411yescharacteristic
558C2×C8×C89C2411yescharacteristic
559C2×C8×C89C2411yescharacteristic
560C2×C8×C89C2411yescharacteristic
561C2×C8×C89C2411yescharacteristic
562C4⋊C4×C89—21no—
563C4⋊C4×C89—21no—
564C4⋊C4×C89—21no—
565C4⋊C4×C89—21no—
566C4⋊C4×C89—21no—
567C4⋊C4×C89—21no—
568C4⋊C4×C89—21no—
569C4⋊C4×C89—21no—
570C4⋊C4×C89—21no—
571C4⋊C4×C89—21no—
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×C89C2×D411yescharacteristic
600C4⋊C4×C89C2×D411yescharacteristic
601C4⋊C4×C89C2×D411yescharacteristic
602C4⋊C4×C89C2×D411yescharacteristic
603C4⋊C4×C89C2×D411yescharacteristic
604C4⋊C4×C89C2×D411yescharacteristic
605C4⋊C4×C89C2411yescharacteristic
606C4⋊C4×C89C2411yescharacteristic
607C4⋊C4×C89C2411yescharacteristic
608C4⋊C4×C89C2411yescharacteristic
609C4⋊C4×C89C2411yescharacteristic
610C4⋊C4×C89C2411yescharacteristic
611C4⋊C4×C89C2411yescharacteristic
612C4⋊C4×C89C2411yescharacteristic
613C22⋊C4×C89—21no—
614C22⋊C4×C89—21no—
615C22⋊C4×C89—21no—
616C22⋊C4×C89—21no—
617C22⋊C4×C89—21no—
618C22⋊C4×C89—21no—
619C22⋊C4×C89—21no—
620C22⋊C4×C89—21no—
621C22⋊C4×C89—21no—
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×C89C2×D411yescharacteristic
651C22⋊C4×C89C2×D411yescharacteristic
652C22⋊C4×C89C2×D411yescharacteristic
653C22⋊C4×C89C2×D411yescharacteristic
654C22⋊C4×C89C2×D411yescharacteristic
655C22⋊C4×C89C2×D411yescharacteristic
656C42×C89—21no—
657C42×C89—21no—
658C42×C89—21no—
659C42×C89—21no—
660C42×C89—21no—
661C42×C89—21no—
662C42×C89—21no—
663C42×C89—21no—
664C42×C89—21no—
665C42×C89—21no—
666C42×C89—21no—
667C42×C89—21no—
668C42×C89—21no—
669C42×C89C2×D411yescharacteristic
670C42×C89C2×D411yescharacteristic
671C42×C89C2×D411yescharacteristic
672C42×C89C2×D411yescharacteristic
673C42×C89C2×D411yescharacteristic
674C42×C89C2×D411yescharacteristic
675C42×C89C2411yescharacteristic
676C42×C89C2411yescharacteristic
677C42×C89C2411yescharacteristic
678C42×C89C2411yescharacteristic
679C23×C89—21no—
680C23×C89—21no—
681C23×C89—21no—
682C23×C89—42no—
683C23×C89—81no—
684C23×C89—81no—
685C23×C89C22×D411yescharacteristic
686C23×C89C22×D411yescharacteristic
687C23×C89C22×D411yescharacteristic
688Q8×C89—21no—
689Q8×C89—21no—
690Q8×C89—21no—
691Q8×C89—21no—
692Q8×C89—21no—
693Q8×C89—21no—
694Q8×C89—21no—
695Q8×C89—21no—
696Q8×C89—21no—
697Q8×C89—21no—
698Q8×C89—41no—
699Q8×C89—42no—
700Q8×C89—42no—
701Q8×C89—81no—
702Q8×C89—81no—
703Q8×C89—81no—
704Q8×C89—81no—
705D4×C89—21no—
706D4×C89—21no—
707D4×C89—21no—
708D4×C89—21no—
709D4×C89—21no—
710D4×C89—21no—
711D4×C89—41no—
712D4×C89—41no—
713D4×C89—41no—
714D4×C89—42no—
715D4×C89—42no—
716D4×C89—81no—
717D4×C89—81no—
718D4×C89—81no—
719D4×C89—81no—
720D4×C89—81no—
721D4×C89—81no—
722C2×C4×C89—21no—
723C2×C4×C89—21no—
724C2×C4×C89—21no—
725C2×C4×C89—21no—
726C2×C4×C89—21no—
727C2×C4×C89—21no—
728C2×C4×C89—21no—
729C2×C4×C89—21no—
730C2×C4×C89—21no—
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—41no—
742C2×C4×C89—41no—
743C2×C4×C89—41no—
744C2×C4×C89—41no—
745C2×C4×C89—41no—
746C2×C4×C89—41no—
747C2×C4×C89—42no—
748C2×C4×C89—42no—
749C2×C4×C89—42no—
750C2×C4×C89—42no—
751C2×C4×C89—81no—
752C2×C4×C89—81no—
753C2×C4×C89—81no—
754C2×C4×C89—81no—
755C2×C4×C89—81no—
756C2×C4×C89—81no—
757C2×C4×C89C22×D411yescharacteristic
758C2×C4×C89C22×D411yescharacteristic
759C2×C4×C89C22×D411yescharacteristic
760C2×C4×C89C22×D411yescharacteristic
761C2×C4×C89C22×D411yescharacteristic
762C2×C4×C89C22×D411yescharacteristic
763C2×C4×C89C22×D411yescharacteristic
764C2×C4×C89C22×D411yescharacteristic
765C2×C4×C89C22×D411yescharacteristic
766C2×C4×C89C22×D411yescharacteristic
767C2×C4×C89C22×D411yescharacteristic
768C2×C4×C89C2511yescharacteristic
769C8×C89—21no—
770C8×C89—21no—
771C8×C89—21no—
772C8×C89—21no—
773C8×C89—21no—
774C8×C89—21no—
775C8×C89—21no—
776C8×C89—21no—
777C22×C89—21no—
778C22×C89—21no—
779C22×C89—21no—
780C22×C89—21no—
781C22×C89—21no—
782C22×C89—21no—
783C22×C89—21no—
784C22×C89—21no—
785C22×C89—21no—
786C22×C89—41no—
787C22×C89—41no—
788C22×C89—41no—
789C22×C89—41no—
790C22×C89—41no—
791C22×C89—41no—
792C22×C89—41no—
793C22×C89—41no—
794C22×C89—41no—
795C22×C89—162no—
796C22×C89C23×D411yescharacteristic
797C4×C89—21no—
798C4×C89—21no—
799C4×C89—21no—
800C4×C89—21no—
801C4×C89—21no—
802C4×C89—21no—
803C4×C89—21no—
804C4×C89—21no—
805C4×C89—21no—
806C4×C89—21no—
807C4×C89—21no—
808C4×C89—41no—
809C4×C89—41no—
810C4×C89—41no—
811C4×C89—41no—
812C4×C89—41no—
813C4×C89—41no—
814C4×C89—41no—
815C4×C89—41no—
816C4×C89—41no—
817C4×C89—41no—
818C4×C89—41no—
819C4×C89—41no—
820C4×C89—41no—
821C4×C89#58511yescharacteristic
822C4×C89#58511yescharacteristic
823#60996C8911yesmaximal, characteristic, direct product factor, Sylow
824C2×C89—41no—
825C2×C89—41no—
826C2×C89—41no—
827C2×C89—81no—
828C2×C89—81no—
829C2×C89—81no—
830C2×C89#344911yescharacteristic
831C2×C89#358411yescharacteristic
832C2×C89#358611yescharacteristic
833#3510C2×C8911yescharacteristic, complemented
834#3461C2×C8911yescharacteristic, complemented
835#3256C2×C8911yescharacteristic, complemented
836#3252C2×C8911yescharacteristic, complemented
837#3250C2×C8911yescharacteristic, complemented
838#3248C2×C8911yescharacteristic, complemented
839#3244C2×C8911yescharacteristic, complemented
840#3243C2×C8911yescharacteristic, complemented
841#3240C2×C8911yescharacteristic, complemented
842#3231C2×C8911yescharacteristic, complemented
843#3225C2×C8911yescharacteristic, complemented
844#3225C2×C8911yescharacteristic, complemented
845#3215C2×C8911yescharacteristic, complemented
846#3211C2×C8911yescharacteristic, complemented
847#3202C2×C8911yescharacteristic, complemented
848#3201C2×C8911yescharacteristic, complemented
849#3200C2×C8911yescharacteristic, complemented
850#3198C2×C8911yescharacteristic
851#3178C2×C8911yescharacteristic, complemented
852#3178C2×C8911yescharacteristic, complemented
853#3175C2×C8911yescharacteristic, complemented
854#3173C2×C8911yescharacteristic, complemented
855#3127C2×C8911yescharacteristic, complemented
856#3123C2×C8911yescharacteristic, complemented
857#3121C2×C8911yescharacteristic, complemented
858#3118C2×C8911yescharacteristic, complemented
859#3117C2×C8911yescharacteristic, complemented
860#3111C2×C8911yescharacteristic, complemented
861#3108C2×C8911yescharacteristic, complemented
862#3102C2×C8911yescharacteristic, complemented
863#2925C2×C8911yescharacteristic, complemented
864C89#6099611yescharacteristic, direct product factor, Sylow
865#559—21no—
866#559—21no—
867#556—21no—
868#556—21no—
869#551—21no—
870#551—21no—
871#551—21no—
872#551—21no—
873#544C22×C8911yescharacteristic, complemented
874#542—21no—
875#542C22×C8911yescharacteristic
876#542C22×C8911yescharacteristic
877#542C22×C8911yescharacteristic
878#542C22×C8911yescharacteristic
879#542C22×C8911yescharacteristic
880#542C22×C8911yescharacteristic, complemented
881#541—21no—
882#541C22×C8911yescharacteristic
883#541C22×C8911yescharacteristic, complemented
884#539—21no—
885#539—21no—
886#537C22×C8911yescharacteristic
887#536C22×C8911yescharacteristic
888#536C22×C8911yescharacteristic
889#536C22×C8911yescharacteristic, complemented
890#535C22×C8911yescharacteristic
891#533—21no—
892#533C22×C8911yescharacteristic
893#533C22×C8911yescharacteristic
894#533C22×C8911yescharacteristic, complemented
895#529—21no—
896#529—21no—
897#529—21no—
898#529C22×C8911yescharacteristic
899#529C22×C8911yescharacteristic
900#529C22×C8911yescharacteristic
901#529C22×C8911yescharacteristic
902#529C22×C8911yescharacteristic
903#529C22×C8911yescharacteristic, complemented
904C2×#124C22×C8911yescharacteristic
905#519C22×C8911yescharacteristic
906#518C22×C8911yescharacteristic
907C4×#41C22×C8911yescharacteristic
908C4×#41C22×C8911yescharacteristic, complemented
909C2×C4×Q8C22×C8911yescharacteristic, complemented
910#501C22×C8911yescharacteristic, complemented
911#501C22×C8911yescharacteristic, complemented
912#500C22×C8911yescharacteristic, complemented
913#498C22×C8911yescharacteristic, complemented
914#497C22×C8911yescharacteristic
915#497C22×C8911yescharacteristic
916#495C22×C8911yescharacteristic
917#495C22×C8911yescharacteristic
918#489C22×C8911yescharacteristic
919#489C22×C8911yescharacteristic
920#489C22×C8911yescharacteristic, complemented
921#489C22×C8911yescharacteristic, complemented
922#488C22×C8911yescharacteristic
923#488C22×C8911yescharacteristic
924#487C22×C8911yescharacteristic, complemented
925#487C22×C8911yescharacteristic, complemented
926#485C22×C8911yescharacteristic
927#485C22×C8911yescharacteristic
928#485C22×C8911yescharacteristic
929#485C22×C8911yescharacteristic
930#485C22×C8911yescharacteristic
931#485C22×C8911yescharacteristic
932#485C22×C8911yescharacteristic, complemented
933#485C22×C8911yescharacteristic, complemented
934#484C22×C8911yescharacteristic, complemented
935#483C22×C8911yescharacteristic, complemented
936#482C22×C8911yescharacteristic
937#482C22×C8911yescharacteristic
938#482C22×C8911yescharacteristic
939#482C22×C8911yescharacteristic
940#481C22×C8911yescharacteristic
941#480C22×C8911yescharacteristic
942#479C22×C8911yescharacteristic, complemented
943#479C22×C8911yescharacteristic, complemented
944#479C22×C8911yescharacteristic, complemented
945#479C22×C8911yescharacteristic, complemented
946#479C22×C8911yescharacteristic, complemented
947#479C22×C8911yescharacteristic, complemented
948#479C22×C8911yescharacteristic, complemented
949#479C22×C8911yescharacteristic, complemented
950#478C22×C8911yescharacteristic
951#478C22×C8911yescharacteristic
952#478C22×C8911yescharacteristic, complemented
953#478C22×C8911yescharacteristic, complemented
954#477C22×C8911yescharacteristic, complemented
955#476C22×C8911yescharacteristic
956#475C22×C8911yescharacteristic, complemented
957#474C22×C8911yescharacteristic
958#470C22×C8911yescharacteristic, complemented
959#470C22×C8911yescharacteristic, complemented
960#470C22×C8911yescharacteristic, complemented
961#469C22×C8911yescharacteristic
962#468C22×C8911yescharacteristic
963#468C22×C8911yescharacteristic
964#468C22×C8911yescharacteristic
965#468C22×C8911yescharacteristic, complemented
966#467C22×C8911yescharacteristic, complemented
967#467C22×C8911yescharacteristic, complemented
968#467C22×C8911yescharacteristic, complemented
969#466C22×C8911yescharacteristic
970#465C22×C8911yescharacteristic
971#465C22×C8911yescharacteristic
972#465C22×C8911yescharacteristic
973#465C22×C8911yescharacteristic, complemented
974#464C22×C8911yescharacteristic
975#464C22×C8911yescharacteristic
976#464C22×C8911yescharacteristic
977#464C22×C8911yescharacteristic
978#464C22×C8911yescharacteristic
979#464C22×C8911yescharacteristic
980#464C22×C8911yescharacteristic, complemented
981#464C22×C8911yescharacteristic, complemented
982#463C22×C8911yescharacteristic
983#463C22×C8911yescharacteristic
984#463C22×C8911yescharacteristic
985#463C22×C8911yescharacteristic
986#462C22×C8911yescharacteristic, complemented
987#462C22×C8911yescharacteristic, complemented
988#461C22×C8911yescharacteristic
989#461C22×C8911yescharacteristic
990#452C22×C8911yescharacteristic, complemented
991#452C22×C8911yescharacteristic, complemented
992#451C22×C8911yescharacteristic
993#451C22×C8911yescharacteristic
994#451C22×C8911yescharacteristic
995#451C22×C8911yescharacteristic, complemented
996#451C22×C8911yescharacteristic, complemented
997#450C22×C8911yescharacteristic
998#450C22×C8911yescharacteristic
999#450C22×C8911yescharacteristic
1000#449C22×C8911yescharacteristic
1001#449C22×C8911yescharacteristic
1002#448C22×C8911yescharacteristic
1003#448C22×C8911yescharacteristic
1004#448C22×C8911yescharacteristic
1005#447C22×C8911yescharacteristic
1006#442C22×C8911yescharacteristic
1007#441C22×C8911yescharacteristic, complemented
1008#441C22×C8911yescharacteristic, complemented
1009#441C22×C8911yescharacteristic, complemented
1010#440C22×C8911yescharacteristic
1011#440C22×C8911yescharacteristic
1012#440C22×C8911yescharacteristic
1013#440C22×C8911yescharacteristic, complemented
1014C4×Q16C22×C8911yescharacteristic, complemented
1015C4×Q16C22×C8911yescharacteristic, complemented
1016C4×Q16C22×C8911yescharacteristic, complemented
1017C4×SD16C22×C8911yescharacteristic
1018C4×SD16C22×C8911yescharacteristic
1019C4×SD16C22×C8911yescharacteristic
1020C4×SD16C22×C8911yescharacteristic, complemented
1021C4×D8C22×C8911yescharacteristic
1022#433C22×C8911yescharacteristic
1023#433C22×C8911yescharacteristic
1024#433C22×C8911yescharacteristic, complemented
1025#433C22×C8911yescharacteristic, complemented
1026#432C22×C8911yescharacteristic
1027#432C22×C8911yescharacteristic, complemented
1028#431C22×C8911yescharacteristic
1029#431C22×C8911yescharacteristic, complemented
1030#423C22×C8911yescharacteristic, complemented
1031C2×C4⋊C8C22×C8911yescharacteristic, complemented
1032#408C22×C8911yescharacteristic
1033#408C22×C8911yescharacteristic
1034#405C22×C8911yescharacteristic, complemented
1035#405C22×C8911yescharacteristic, complemented
1036C2×#41C23×C8911yescharacteristic
1037C2×#41C23×C8911yescharacteristic
1038C22×Q8C23×C8911yescharacteristic
1039C22×Q8C23×C8911yescharacteristic
1040C22×D4C23×C8911yescharacteristic
1041C2×Q16C23×C8911yescharacteristic
1042C2×Q16C23×C8911yescharacteristic
1043C2×Q16C23×C8911yescharacteristic
1044C2×Q16C23×C8911yescharacteristic
1045C2×Q16C23×C8911yescharacteristic
1046C2×Q16C23×C8911yescharacteristic
1047C2×SD16C23×C8911yescharacteristic
1048C2×SD16C23×C8911yescharacteristic
1049C2×SD16C23×C8911yescharacteristic
1050C2×SD16C23×C8911yescharacteristic
1051C2×SD16C23×C8911yescharacteristic
1052C2×SD16C23×C8911yescharacteristic
1053C2×SD16C23×C8911yescharacteristic
1054C2×SD16C23×C8911yescharacteristic
1055C2×D8C23×C8911yescharacteristic
1056C2×D8C23×C8911yescharacteristic
1057C2×M16C23×C8911yescharacteristic
1058C2×M16C23×C8911yescharacteristic
1059C22×C8C23×C8911yescharacteristic
1060C22×C8C23×C8911yescharacteristic
1061C4⋊Q8—21no—
1062C4⋊Q8—21no—
1063C4⋊Q8—21no—
1064C4⋊Q8C23×C8911yescharacteristic
1065C4⋊Q8C23×C8911yescharacteristic
1066C4⋊Q8C23×C8911yescharacteristic
1067C4⋊Q8C23×C8911yescharacteristic
1068C4⋊Q8C23×C8911yescharacteristic
1069C4⋊Q8C23×C8911yescharacteristic
1070#127—21no—
1071#126—21no—
1072#126—21no—
1073#126—21no—
1074#126—21no—
1075#126—21no—
1076#126—21no—
1077#126—21no—
1078#126—21no—
1079#126—21no—
1080#126—21no—
1081#126—21no—
1082#126—21no—
1083#126—21no—
1084#126—21no—
1085#126—21no—
1086#126—21no—
1087#125—21no—
1088#125—21no—
1089#125—21no—
1090#125—21no—
1091#125—21no—
1092#125—21no—
1093#125—21no—
1094#125C23×C8911yescharacteristic
1095#125C23×C8911yescharacteristic
1096#125C23×C8911yescharacteristic
1097#125C23×C8911yescharacteristic
1098#124—21no—
1099#124—21no—
1100#124—21no—
1101#124—21no—
1102#124—21no—
1103#124—21no—
1104#124—21no—
1105#124—21no—
1106#124—21no—
1107#124—21no—
1108#124—21no—
1109#124C23×C8911yescharacteristic
1110#124C23×C8911yescharacteristic
1111#124C23×C8911yescharacteristic
1112#124C23×C8911yescharacteristic
1113#124C23×C8911yescharacteristic
1114#124C23×C8911yescharacteristic
1115#123—21no—
1116#123—21no—
1117#123—21no—
1118#123—21no—
1119#123—21no—
1120#123—21no—
1121#123—21no—
1122#123—21no—
1123#123—21no—
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—
1133C22⋊Q8—21no—
1134C22⋊Q8—21no—
1135C22⋊Q8—21no—
1136C22⋊Q8—21no—
1137C22⋊Q8—21no—
1138C22⋊Q8—21no—
1139C22⋊Q8—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⋊Q8C23×C8911yescharacteristic
1149C22⋊Q8C23×C8911yescharacteristic
1150C22⋊Q8C23×C8911yescharacteristic
1151C22⋊Q8C23×C8911yescharacteristic
1152C22⋊Q8C23×C8911yescharacteristic
1153C22⋊Q8C23×C8911yescharacteristic
1154C22⋊Q8C23×C8911yescharacteristic
1155C22⋊Q8C23×C8911yescharacteristic
1156C22⋊Q8C23×C8911yescharacteristic
1157C22⋊Q8C23×C8911yescharacteristic
1158#121—21no—
1159#121—21no—
1160#121—21no—
1161#121C23×C8911yescharacteristic
1162#121C23×C8911yescharacteristic
1163#121C23×C8911yescharacteristic
1164#121C23×C8911yescharacteristic
1165#121C23×C8911yescharacteristic
1166#121C23×C8911yescharacteristic
1167#120—21no—
1168#120—21no—
1169C4×Q8—21no—
1170C4×Q8—21no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—21no—
1174C4×Q8—21no—
1175C4×Q8—21no—
1176C4×Q8—21no—
1177C4×Q8D4×C8911yescharacteristic
1178C4×Q8D4×C8911yescharacteristic
1179C4×Q8C23×C8911yescharacteristic
1180C4×Q8C23×C8911yescharacteristic
1181C4×Q8C23×C8911yescharacteristic
1182C4×Q8C23×C8911yescharacteristic
1183C4×Q8C23×C8911yescharacteristic
1184C4×Q8C23×C8911yescharacteristic
1185C4×Q8C23×C8911yescharacteristic
1186C4×Q8C23×C8911yescharacteristic
1187C4×Q8C23×C8911yescharacteristic
1188C4×Q8C23×C8911yescharacteristic
1189C4×D4—21no—
1190C4×D4—21no—
1191C4×D4—21no—
1192C4×D4—21no—
1193C4×D4—21no—
1194C4×D4—21no—
1195C4×D4—21no—
1196C4×D4—21no—
1197C4×D4—21no—
1198C4×D4—21no—
1199C4×D4D4×C8911yescharacteristic
1200C4×D4D4×C8911yescharacteristic
1201C4×D4D4×C8911yescharacteristic
1202C4×D4D4×C8911yescharacteristic
1203C4×D4D4×C8911yescharacteristic
1204C4×D4D4×C8911yescharacteristic
1205C4×D4C23×C8911yescharacteristic
1206C4×D4C23×C8911yescharacteristic
1207C4×D4C23×C8911yescharacteristic
1208C4×D4C23×C8911yescharacteristic
1209C4×D4C23×C8911yescharacteristic
1210C4×D4C23×C8911yescharacteristic
1211#117—21no—
1212#117—21no—
1213#117—21no—
1214#117—21no—
1215#117—21no—
1216#117—21no—
1217#117—21no—
1218#117—21no—
1219#117—21no—
1220#117—21no—
1221#117—21no—
1222#117C23×C8911yescharacteristic
1223#117C23×C8911yescharacteristic
1224#117C23×C8911yescharacteristic
1225#117C23×C8911yescharacteristic
1226#117C23×C8911yescharacteristic
1227#117C23×C8911yescharacteristic
1228C2×C4⋊C4—21no—
1229C2×C4⋊C4C23×C8911yescharacteristic
1230C2×C22⋊C4—21no—
1231C2×C22⋊C4—21no—
1232C2×C22⋊C4—21no—
1233C2×C22⋊C4—21no—
1234C2×C42—21no—
1235C2×C42—21no—
1236C2×C42C23×C8911yescharacteristic
1237C2×C42C23×C8911yescharacteristic
1238C2×C42C23×C8911yescharacteristic
1239#107C23×C8911yescharacteristic
1240#107C23×C8911yescharacteristic
1241#107C23×C8911yescharacteristic
1242#107C23×C8911yescharacteristic
1243#107C23×C8911yescharacteristic
1244#107C23×C8911yescharacteristic
1245#107C23×C8911yescharacteristic
1246#107C23×C8911yescharacteristic
1247#106C23×C8911yescharacteristic
1248#106C23×C8911yescharacteristic
1249#106C23×C8911yescharacteristic
1250#106C23×C8911yescharacteristic
1251#106C23×C8911yescharacteristic
1252#106C23×C8911yescharacteristic
1253#106C23×C8911yescharacteristic
1254#106C23×C8911yescharacteristic
1255C4⋊C8C23×C8911yescharacteristic
1256C4⋊C8C23×C8911yescharacteristic
1257C4⋊C8C23×C8911yescharacteristic
1258C4⋊C8C23×C8911yescharacteristic
1259C4⋊C8C23×C8911yescharacteristic
1260C4⋊C8C23×C8911yescharacteristic
1261C4⋊C8C23×C8911yescharacteristic
1262C4⋊C8C23×C8911yescharacteristic
1263#103C23×C8911yescharacteristic
1264#103C23×C8911yescharacteristic
1265#103C23×C8911yescharacteristic
1266#103C23×C8911yescharacteristic
1267#103C23×C8911yescharacteristic
1268#103C23×C8911yescharacteristic
1269#103C23×C8911yescharacteristic
1270#103C23×C8911yescharacteristic
1271#103C23×C8911yescharacteristic
1272#103C23×C8911yescharacteristic
1273#103C23×C8911yescharacteristic
1274#103C23×C8911yescharacteristic
1275#103C23×C8911yescharacteristic
1276#103C23×C8911yescharacteristic
1277#103C23×C8911yescharacteristic
1278#103C23×C8911yescharacteristic
1279#103C23×C8911yescharacteristic
1280#103C23×C8911yescharacteristic
1281#103C23×C8911yescharacteristic
1282#103C23×C8911yescharacteristic
1283#102C23×C8911yescharacteristic
1284#102C23×C8911yescharacteristic
1285#102C23×C8911yescharacteristic
1286#102C23×C8911yescharacteristic
1287#102C23×C8911yescharacteristic
1288#102C23×C8911yescharacteristic
1289#102C23×C8911yescharacteristic
1290#102C23×C8911yescharacteristic
1291#102C23×C8911yescharacteristic
1292#102C23×C8911yescharacteristic
1293#102C23×C8911yescharacteristic
1294#102C23×C8911yescharacteristic
1295C22⋊C8C23×C8911yescharacteristic
1296C22⋊C8C23×C8911yescharacteristic
1297C22⋊C8C23×C8911yescharacteristic
1298C22⋊C8C23×C8911yescharacteristic
1299C22⋊C8C23×C8911yescharacteristic
1300C22⋊C8C23×C8911yescharacteristic
1301C22⋊C8C23×C8911yescharacteristic
1302C22⋊C8C23×C8911yescharacteristic
1303#97C23×C8911yescharacteristic
1304#97C23×C8911yescharacteristic
1305#97C23×C8911yescharacteristic
1306#97C23×C8911yescharacteristic
1307C4×C8C23×C8911yescharacteristic
1308C4×C8C23×C8911yescharacteristic
1309C4×C8C23×C8911yescharacteristic
1310C4×C8C23×C8911yescharacteristic
1311C24—21no—
1312#41—41no—
1313#41—41no—
1314#41—41no—
1315#41—41no—
1316C2×Q8—21no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—21no—
1320C2×Q8—21no—
1321C2×Q8—21no—
1322C2×Q8—41no—
1323C2×Q8—41no—
1324C2×Q8—41no—
1325C2×Q8—41no—
1326C2×Q8C2×D4×C8911yescharacteristic
1327C2×Q8C24×C8911yescharacteristic
1328C2×Q8C24×C8911yescharacteristic
1329C2×Q8C24×C8911yescharacteristic
1330C2×Q8C24×C8911yescharacteristic
1331C2×Q8C24×C8911yescharacteristic
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—21no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4C2×D4×C8911yescharacteristic
1343C2×D4C2×D4×C8911yescharacteristic
1344C2×D4C2×D4×C8911yescharacteristic
1345C2×D4C24×C8911yescharacteristic
1346C2×D4C24×C8911yescharacteristic
1347C2×D4C24×C8911yescharacteristic
1348C22×C4—21no—
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—21no—
1355C22×C4—21no—
1356C22×C4—21no—
1357C22×C4—21no—
1358C22×C4C2×D4×C8911yescharacteristic
1359C22×C4C2×D4×C8911yescharacteristic
1360C22×C4C2×D4×C8911yescharacteristic
1361C22×C4C2×D4×C8911yescharacteristic
1362C22×C4C2×D4×C8911yescharacteristic
1363C22×C4C2×D4×C8911yescharacteristic
1364C22×C4C24×C8911yescharacteristic
1365C22×C4C24×C8911yescharacteristic
1366C22×C4C24×C8911yescharacteristic
1367Q16—41no—
1368Q16—41no—
1369Q16—41no—
1370Q16—41no—
1371Q16—41no—
1372Q16—41no—
1373SD16—41no—
1374SD16—41no—
1375SD16—41no—
1376SD16—41no—
1377SD16—41no—
1378SD16—41no—
1379SD16—41no—
1380SD16—41no—
1381D8—41no—
1382D8—41no—
1383M16—41no—
1384M16—41no—
1385C2×C8—41no—
1386C2×C8—41no—
1387C2×C8C24×C8911yescharacteristic
1388C2×C8C24×C8911yescharacteristic
1389C2×C8C24×C8911yescharacteristic
1390C2×C8C24×C8911yescharacteristic
1391C2×C8C24×C8911yescharacteristic
1392C2×C8C24×C8911yescharacteristic
1393C2×C8C24×C8911yescharacteristic
1394C2×C8C24×C8911yescharacteristic
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—21no—
1401C4⋊C4—21no—
1402C4⋊C4—21no—
1403C4⋊C4—21no—
1404C4⋊C4—21no—
1405C4⋊C4—21no—
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—21no—
1418C4⋊C4—21no—
1419C4⋊C4—21no—
1420C4⋊C4—21no—
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⋊C4C2×D4×C8911yescharacteristic
1433C4⋊C4C2×D4×C8911yescharacteristic
1434C4⋊C4C2×D4×C8911yescharacteristic
1435C4⋊C4C2×D4×C8911yescharacteristic
1436C4⋊C4C2×D4×C8911yescharacteristic
1437C4⋊C4C2×D4×C8911yescharacteristic
1438C4⋊C4C24×C8911yescharacteristic
1439C4⋊C4C24×C8911yescharacteristic
1440C4⋊C4C24×C8911yescharacteristic
1441C4⋊C4C24×C8911yescharacteristic
1442C4⋊C4C24×C8911yescharacteristic
1443C4⋊C4C24×C8911yescharacteristic
1444C4⋊C4C24×C8911yescharacteristic
1445C4⋊C4C24×C8911yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—21no—
1453C22⋊C4—21no—
1454C22⋊C4—21no—
1455C22⋊C4—21no—
1456C22⋊C4—21no—
1457C22⋊C4—21no—
1458C22⋊C4—21no—
1459C22⋊C4—21no—
1460C22⋊C4—21no—
1461C22⋊C4—21no—
1462C22⋊C4—21no—
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
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⋊C4C2×D4×C8911yescharacteristic
1484C22⋊C4C2×D4×C8911yescharacteristic
1485C22⋊C4C2×D4×C8911yescharacteristic
1486C22⋊C4C2×D4×C8911yescharacteristic
1487C22⋊C4C2×D4×C8911yescharacteristic
1488C22⋊C4C2×D4×C8911yescharacteristic
1489C42—21no—
1490C42—21no—
1491C42—21no—
1492C42—21no—
1493C42—21no—
1494C42—21no—
1495C42—21no—
1496C42—21no—
1497C42—21no—
1498C42—21no—
1499C42—21no—
1500C42—21no—
1501C42—21no—
1502C42C2×D4×C8911yescharacteristic
1503C42C2×D4×C8911yescharacteristic
1504C42C2×D4×C8911yescharacteristic
1505C42C2×D4×C8911yescharacteristic
1506C42C2×D4×C8911yescharacteristic
1507C42C2×D4×C8911yescharacteristic
1508C42C24×C8911yescharacteristic
1509C42C24×C8911yescharacteristic
1510C42C24×C8911yescharacteristic
1511C42C24×C8911yescharacteristic
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—42no—
1516C23—81no—
1517C23—81no—
1518C23C22×D4×C8911yescharacteristic
1519C23C22×D4×C8911yescharacteristic
1520C23C22×D4×C8911yescharacteristic
1521Q8—21no—
1522Q8—21no—
1523Q8—21no—
1524Q8—21no—
1525Q8—21no—
1526Q8—21no—
1527Q8—21no—
1528Q8—21no—
1529Q8—21no—
1530Q8—21no—
1531Q8—41no—
1532Q8—42no—
1533Q8—42no—
1534Q8—81no—
1535Q8—81no—
1536Q8—81no—
1537Q8—81no—
1538D4—21no—
1539D4—21no—
1540D4—21no—
1541D4—21no—
1542D4—21no—
1543D4—21no—
1544D4—41no—
1545D4—41no—
1546D4—41no—
1547D4—42no—
1548D4—42no—
1549D4—81no—
1550D4—81no—
1551D4—81no—
1552D4—81no—
1553D4—81no—
1554D4—81no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—41no—
1575C2×C4—41no—
1576C2×C4—41no—
1577C2×C4—41no—
1578C2×C4—41no—
1579C2×C4—41no—
1580C2×C4—42no—
1581C2×C4—42no—
1582C2×C4—42no—
1583C2×C4—42no—
1584C2×C4—81no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—81no—
1588C2×C4—81no—
1589C2×C4—81no—
1590C2×C4C22×D4×C8911yescharacteristic
1591C2×C4C22×D4×C8911yescharacteristic
1592C2×C4C22×D4×C8911yescharacteristic
1593C2×C4C22×D4×C8911yescharacteristic
1594C2×C4C22×D4×C8911yescharacteristic
1595C2×C4C22×D4×C8911yescharacteristic
1596C2×C4C22×D4×C8911yescharacteristic
1597C2×C4C22×D4×C8911yescharacteristic
1598C2×C4C22×D4×C8911yescharacteristic
1599C2×C4C22×D4×C8911yescharacteristic
1600C2×C4C22×D4×C8911yescharacteristic
1601C2×C4C25×C8911yescharacteristic
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—21no—
1607C8—21no—
1608C8—21no—
1609C8—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—21no—
1618C22—21no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—162no—
1629C22C23×D4×C8911yescharacteristic
1630C4—21no—
1631C4—21no—
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4#585×C8911yescharacteristic
1655C4#585×C8911yescharacteristic
1656C2—41no—
1657C2—41no—
1658C2—41no—
1659C2—81no—
1660C2—81no—
1661C2—81no—
1662C2C89×#344911yescharacteristic
1663C2C89×#358411yescharacteristic
1664C2C89×#358611yescharacteristic
subgroupG/H
center, socleC22×C89C23×D4
commutator, Frattini, cosocleC2×C4C25×C89
prime radicalC89×#3198C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C89 ◁ C4×#41×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#3510C2semidirect
2. C89×#3461C2semidirect
3. C89×#3256C2semidirect
4. C89×#3252C2semidirect
5. C89×#3250C2semidirect
6. C89×#3248C2semidirect
7. C89×#3244C2semidirect
8. C89×#3243C2semidirect
9. C89×#3240C2semidirect
10. C89×#3231C2semidirect
11. C89×#3225C2semidirect
12. C89×#3225C2semidirect
13. C89×#3215C2semidirect
14. C89×#3211C2semidirect
15. C89×#3202C2semidirect
16. C89×#3201C2semidirect
17. C89×#3200C2semidirect
19. C89×#3178C2semidirect
20. C89×#3178C2semidirect
21. C89×#3175C2semidirect
22. C89×#3173C2semidirect
23. C89×#3127C2semidirect
24. C89×#3123C2semidirect
25. C89×#3121C2semidirect
26. C89×#3118C2semidirect
27. C89×#3117C2semidirect
28. C89×#3111C2semidirect
29. C89×#3108C2semidirect
30. C89×#3102C2semidirect
31. C89×#2925C2semidirect
40. #544×C89C22semidirect
47. #542×C89C22semidirect
50. #541×C89C22semidirect
56. #536×C89C22semidirect
61. #533×C89C22semidirect
70. #529×C89C22semidirect
75. C4×#41×C89C22semidirect
76. C2×C4×Q8×C89C22semidirect
77. #501×C89C22semidirect
78. #501×C89C22semidirect
79. #500×C89C22semidirect
80. #498×C89C22semidirect
87. #489×C89C22semidirect
88. #489×C89C22semidirect
91. #487×C89C22semidirect
92. #487×C89C22semidirect
99. #485×C89C22semidirect
100. #485×C89C22semidirect
101. #484×C89C22semidirect
102. #483×C89C22semidirect
109. #479×C89C22semidirect
110. #479×C89C22semidirect
111. #479×C89C22semidirect
112. #479×C89C22semidirect
113. #479×C89C22semidirect
114. #479×C89C22semidirect
115. #479×C89C22semidirect
116. #479×C89C22semidirect
119. #478×C89C22semidirect
120. #478×C89C22semidirect
121. #477×C89C22semidirect
123. #475×C89C22semidirect
125. #470×C89C22semidirect
126. #470×C89C22semidirect
127. #470×C89C22semidirect
132. #468×C89C22semidirect
133. #467×C89C22semidirect
134. #467×C89C22semidirect
135. #467×C89C22semidirect
140. #465×C89C22semidirect
147. #464×C89C22semidirect
148. #464×C89C22semidirect
153. #462×C89C22semidirect
154. #462×C89C22semidirect
157. #452×C89C22semidirect
158. #452×C89C22semidirect
162. #451×C89C22semidirect
163. #451×C89C22semidirect
174. #441×C89C22semidirect
175. #441×C89C22semidirect
176. #441×C89C22semidirect
180. #440×C89C22semidirect
181. C4×Q16×C89C22semidirect
182. C4×Q16×C89C22semidirect
183. C4×Q16×C89C22semidirect
187. C4×SD16×C89C22semidirect
191. #433×C89C22semidirect
192. #433×C89C22semidirect
194. #432×C89C22semidirect
196. #431×C89C22semidirect
197. #423×C89C22semidirect
198. C2×C4⋊C8×C89C22semidirect
201. #405×C89C22semidirect
202. #405×C89C22semidirect
823. #60996C89direct (N × H)
833. #3510C2×C89semidirect
834. #3461C2×C89semidirect
835. #3256C2×C89semidirect
836. #3252C2×C89semidirect
837. #3250C2×C89semidirect
838. #3248C2×C89semidirect
839. #3244C2×C89semidirect
840. #3243C2×C89semidirect
841. #3240C2×C89semidirect
842. #3231C2×C89semidirect
843. #3225C2×C89semidirect
844. #3225C2×C89semidirect
845. #3215C2×C89semidirect
846. #3211C2×C89semidirect
847. #3202C2×C89semidirect
848. #3201C2×C89semidirect
849. #3200C2×C89semidirect
851. #3178C2×C89semidirect
852. #3178C2×C89semidirect
853. #3175C2×C89semidirect
854. #3173C2×C89semidirect
855. #3127C2×C89semidirect
856. #3123C2×C89semidirect
857. #3121C2×C89semidirect
858. #3118C2×C89semidirect
859. #3117C2×C89semidirect
860. #3111C2×C89semidirect
861. #3108C2×C89semidirect
862. #3102C2×C89semidirect
863. #2925C2×C89semidirect
864. C89#60996direct (N × H)
873. #544C22×C89semidirect
880. #542C22×C89semidirect
883. #541C22×C89semidirect
889. #536C22×C89semidirect
894. #533C22×C89semidirect
903. #529C22×C89semidirect
908. C4×#41C22×C89semidirect
909. C2×C4×Q8C22×C89semidirect
910. #501C22×C89semidirect
911. #501C22×C89semidirect
912. #500C22×C89semidirect
913. #498C22×C89semidirect
920. #489C22×C89semidirect
921. #489C22×C89semidirect
924. #487C22×C89semidirect
925. #487C22×C89semidirect
932. #485C22×C89semidirect
933. #485C22×C89semidirect
934. #484C22×C89semidirect
935. #483C22×C89semidirect
942. #479C22×C89semidirect
943. #479C22×C89semidirect
944. #479C22×C89semidirect
945. #479C22×C89semidirect
946. #479C22×C89semidirect
947. #479C22×C89semidirect
948. #479C22×C89semidirect
949. #479C22×C89semidirect
952. #478C22×C89semidirect
953. #478C22×C89semidirect
954. #477C22×C89semidirect
956. #475C22×C89semidirect
958. #470C22×C89semidirect
959. #470C22×C89semidirect
960. #470C22×C89semidirect
965. #468C22×C89semidirect
966. #467C22×C89semidirect
967. #467C22×C89semidirect
968. #467C22×C89semidirect
973. #465C22×C89semidirect
980. #464C22×C89semidirect
981. #464C22×C89semidirect
986. #462C22×C89semidirect
987. #462C22×C89semidirect
990. #452C22×C89semidirect
991. #452C22×C89semidirect
995. #451C22×C89semidirect
996. #451C22×C89semidirect
1007. #441C22×C89semidirect
1008. #441C22×C89semidirect
1009. #441C22×C89semidirect
1013. #440C22×C89semidirect
1014. C4×Q16C22×C89semidirect
1015. C4×Q16C22×C89semidirect
1016. C4×Q16C22×C89semidirect
1020. C4×SD16C22×C89semidirect
1024. #433C22×C89semidirect
1025. #433C22×C89semidirect
1027. #432C22×C89semidirect
1029. #431C22×C89semidirect
1030. #423C22×C89semidirect
1031. C2×C4⋊C8C22×C89semidirect
1034. #405C22×C89semidirect
1035. #405C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35102
C89×#34612
C89×#32562
C89×#32522
C89×#32502
C89×#32482
C89×#32442
C89×#32432
C89×#32402
C89×#32312
C89×#32252
C89×#32152
C89×#32112
C89×#32022
C89×#32012
C89×#32002
C89×#31982
C89×#31782
C89×#31752
C89×#31732
C89×#31272
C89×#31232
C89×#31212
C89×#31182
C89×#31172
C89×#31112
C89×#31082
C89×#31022
C89×#29252
#6099689