Finite Group Databasebeta

← C89×#61616 #36439464

Subgroups — C89×#61616 #36439464

Order 22784.

2108 conjugacy classes of subgroups.

The subgroup lattice has 1916 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3542C211yesmaximal, characteristic, complemented
2C89×#3487C211yesmaximal, characteristic, complemented
3C89×#3332C211yesmaximal, characteristic, complemented
4C89×#3327C211yesmaximal, characteristic, complemented
5C89×#3321C211yesmaximal, characteristic, complemented
6C89×#3317C211yesmaximal, characteristic, complemented
7C89×#3309C211yesmaximal, characteristic, complemented
8C89×#3308C211yesmaximal, characteristic, complemented
9C89×#3305C211yesmaximal, characteristic, complemented
10C89×#3301C211yesmaximal, characteristic, complemented
11C89×#3287C211yesmaximal, characteristic, complemented
12C89×#3282C211yesmaximal, characteristic, complemented
13C89×#3275C211yesmaximal, characteristic, complemented
14C89×#3274C211yesmaximal, characteristic, complemented
15C89×#3271C211yesmaximal, characteristic, complemented
16C89×#3268C211yesmaximal, characteristic, complemented
17C89×#3268C211yesmaximal, characteristic, complemented
18C89×#3265C211yesmaximal, characteristic, complemented
19C89×#3224C211yesmaximal, characteristic, complemented
20C89×#3220C211yesmaximal, characteristic, complemented
21C89×#3199C211yesmaximal, characteristic, complemented
22C89×#3198C211yesmaximal, characteristic, complemented
23C89×#3197C211yesmaximal, characteristic, complemented
24C89×#3188C211yesmaximal, characteristic, complemented
25C89×#3126C211yesmaximal, characteristic, complemented
26C89×#3121C211yesmaximal, characteristic, complemented
27C89×#3013C211yesmaximal, characteristic, complemented
28C89×#3010C211yesmaximal, characteristic, complemented
29C89×#3006C211yesmaximal, characteristic, complemented
30C89×#3002C211yesmaximal, characteristic, complemented
31C89×#2976C211yesmaximal, characteristic, complemented
32C2×2−1+4×C89C2211yescharacteristic, complemented
33C22×#41×C89C2211yescharacteristic, complemented
34C2×#137×C89C2211yescharacteristic, complemented
35C2×AGL(1,ℤ/8)×C89C2211yescharacteristic
36C2×AGL(1,ℤ/8)×C89C2211yescharacteristic
37C2×AGL(1,ℤ/8)×C89C2211yescharacteristic, complemented
38C2×#135×C89C2211yescharacteristic, complemented
39C2×#135×C89C2211yescharacteristic, complemented
40C2×#135×C89C2211yescharacteristic, complemented
41C22×SD16×C89C2211yescharacteristic, complemented
42#562×C89—21no—
43#560×C89—21no—
44#555×C89C2211yescharacteristic, complemented
45#553×C89C2211yescharacteristic, complemented
46#552×C89C2211yescharacteristic, complemented
47#551×C89—21no—
48#550×C89—21no—
49#550×C89—21no—
50#550×C89C2211yescharacteristic
51#550×C89C2211yescharacteristic, complemented
52#550×C89C2211yescharacteristic, complemented
53#550×C89C2211yescharacteristic, complemented
54#550×C89C2211yescharacteristic, complemented
55#548×C89—21no—
56#548×C89—21no—
57#548×C89C2211yescharacteristic
58#548×C89C2211yescharacteristic, complemented
59#548×C89C2211yescharacteristic, complemented
60#548×C89C2211yescharacteristic, complemented
61#547×C89C2211yescharacteristic, complemented
62#546×C89—21no—
63#546×C89C2211yescharacteristic, complemented
64#546×C89C2211yescharacteristic, complemented
65D42×C89C2211yescharacteristic, complemented
66#542×C89C2211yescharacteristic
67#540×C89—21no—
68#540×C89C2211yescharacteristic
69#538×C89—21no—
70#537×C89C2211yescharacteristic
71#535×C89—21no—
72#535×C89—21no—
73#535×C89—21no—
74#535×C89C2211yescharacteristic
75#535×C89C2211yescharacteristic, complemented
76#535×C89C2211yescharacteristic, complemented
77#534×C89—21no—
78#525×C89—21no—
79#525×C89—21no—
80#525×C89C2211yescharacteristic
81#525×C89C2211yescharacteristic
82#525×C89C2211yescharacteristic, complemented
83C2×#121×C89C2211yescharacteristic
84#519×C89C2211yescharacteristic, complemented
85#496×C89C2211yescharacteristic, complemented
86#496×C89C2211yescharacteristic, complemented
87#495×C89C2211yescharacteristic, complemented
88#493×C89C2211yescharacteristic, complemented
89#490×C89C2211yescharacteristic, complemented
90#489×C89C2211yescharacteristic, complemented
91#488×C89C2211yescharacteristic, complemented
92#486×C89C2211yescharacteristic, complemented
93#485×C89C2211yescharacteristic, complemented
94#485×C89C2211yescharacteristic, complemented
95#484×C89C2211yescharacteristic, complemented
96#482×C89C2211yescharacteristic
97#482×C89C2211yescharacteristic, complemented
98#482×C89C2211yescharacteristic, complemented
99#482×C89C2211yescharacteristic, complemented
100#482×C89C2211yescharacteristic, complemented
101#482×C89C2211yescharacteristic, complemented
102#481×C89C2211yescharacteristic, complemented
103#481×C89C2211yescharacteristic, complemented
104#480×C89C2211yescharacteristic, complemented
105#479×C89C2211yescharacteristic, complemented
106#479×C89C2211yescharacteristic, complemented
107#477×C89C2211yescharacteristic, complemented
108#475×C89C2211yescharacteristic, complemented
109#470×C89C2211yescharacteristic, complemented
110#469×C89C2211yescharacteristic, complemented
111#469×C89C2211yescharacteristic, complemented
112#469×C89C2211yescharacteristic, complemented
113#469×C89C2211yescharacteristic, complemented
114#468×C89C2211yescharacteristic, complemented
115#468×C89C2211yescharacteristic, complemented
116#468×C89C2211yescharacteristic, complemented
117#466×C89C2211yescharacteristic, complemented
118#466×C89C2211yescharacteristic, complemented
119#466×C89C2211yescharacteristic, complemented
120#466×C89C2211yescharacteristic, complemented
121#466×C89C2211yescharacteristic, complemented
122#465×C89C2211yescharacteristic, complemented
123#465×C89C2211yescharacteristic, complemented
124#465×C89C2211yescharacteristic, complemented
125#464×C89C2211yescharacteristic, complemented
126#464×C89C2211yescharacteristic, complemented
127#464×C89C2211yescharacteristic, complemented
128#463×C89C2211yescharacteristic, complemented
129#463×C89C2211yescharacteristic, complemented
130#463×C89C2211yescharacteristic, complemented
131#460×C89C2211yescharacteristic, complemented
132#460×C89C2211yescharacteristic, complemented
133#460×C89C2211yescharacteristic, complemented
134#459×C89C2211yescharacteristic, complemented
135#459×C89C2211yescharacteristic, complemented
136#459×C89C2211yescharacteristic, complemented
137#452×C89C2211yescharacteristic, complemented
138#452×C89C2211yescharacteristic, complemented
139#452×C89C2211yescharacteristic, complemented
140#452×C89C2211yescharacteristic, complemented
141#452×C89C2211yescharacteristic, complemented
142#451×C89C2211yescharacteristic, complemented
143#451×C89C2211yescharacteristic, complemented
144#450×C89C2211yescharacteristic, complemented
145#450×C89C2211yescharacteristic, complemented
146#449×C89C2211yescharacteristic
147#449×C89C2211yescharacteristic
148#449×C89C2211yescharacteristic
149#449×C89C2211yescharacteristic
150#449×C89C2211yescharacteristic
151#449×C89C2211yescharacteristic, complemented
152#449×C89C2211yescharacteristic, complemented
153#449×C89C2211yescharacteristic, complemented
154#449×C89C2211yescharacteristic, complemented
155#449×C89C2211yescharacteristic, complemented
156#449×C89C2211yescharacteristic, complemented
157#449×C89C2211yescharacteristic, complemented
158#449×C89C2211yescharacteristic, complemented
159#449×C89C2211yescharacteristic, complemented
160#449×C89C2211yescharacteristic, complemented
161#448×C89C2211yescharacteristic
162#448×C89C2211yescharacteristic, complemented
163#448×C89C2211yescharacteristic, complemented
164#448×C89C2211yescharacteristic, complemented
165#448×C89C2211yescharacteristic, complemented
166#448×C89C2211yescharacteristic, complemented
167#447×C89C2211yescharacteristic
168#447×C89C2211yescharacteristic, complemented
169#447×C89C2211yescharacteristic, complemented
170#447×C89C2211yescharacteristic, complemented
171#447×C89C2211yescharacteristic, complemented
172#447×C89C2211yescharacteristic, complemented
173#441×C89C2211yescharacteristic, complemented
174#440×C89C2211yescharacteristic, complemented
175#440×C89C2211yescharacteristic, complemented
176#440×C89C2211yescharacteristic, complemented
177C4×Q16×C89C2211yescharacteristic, complemented
178C4×SD16×C89C2211yescharacteristic, complemented
179C4×SD16×C89C2211yescharacteristic, complemented
180C4×SD16×C89C2211yescharacteristic, complemented
181#436×C89C2211yescharacteristic, complemented
182#436×C89C2211yescharacteristic, complemented
183#435×C89C2211yescharacteristic, complemented
184#435×C89C2211yescharacteristic, complemented
185#435×C89C2211yescharacteristic, complemented
186#435×C89C2211yescharacteristic, complemented
187C8×D4×C89C2211yescharacteristic, complemented
188C8×D4×C89C2211yescharacteristic, complemented
189#433×C89C2211yescharacteristic, complemented
190#433×C89C2211yescharacteristic, complemented
191#419×C89C2211yescharacteristic, complemented
192#417×C89C2211yescharacteristic, complemented
193#417×C89C2211yescharacteristic, complemented
194#417×C89C2211yescharacteristic, complemented
195#416×C89C2211yescharacteristic, complemented
196#416×C89C2211yescharacteristic, complemented
197#416×C89C2211yescharacteristic, complemented
198C2×#103×C89C2211yescharacteristic, complemented
199#408×C89C2211yescharacteristic, complemented
200#408×C89C2211yescharacteristic, complemented
201#407×C89C2211yescharacteristic, complemented
202C2×C22⋊C8×C89C2211yescharacteristic, complemented
2032−1+4×C89—42no—
2042−1+4×C89—42no—
205C2×#41×C89—21no—
206C2×#41×C89—21no—
207C2×#41×C89—21no—
208C2×#41×C89—21no—
209C2×#41×C89—21no—
210C2×#41×C89—21no—
211C2×#41×C89—42no—
212C2×#41×C89—42no—
213C2×#41×C89C2311yescharacteristic
214C2×#41×C89C2311yescharacteristic
215C2×#41×C89C2311yescharacteristic
216C2×#41×C89C2311yescharacteristic
217C2×#41×C89C2311yescharacteristic
218C2×#41×C89C2311yescharacteristic
219C2×#41×C89C2311yescharacteristic
220C2×#41×C89C2311yescharacteristic
221C2×#41×C89C2311yescharacteristic
222C2×#41×C89C2311yescharacteristic
223C22×Q8×C89—21no—
224C22×Q8×C89C2311yescharacteristic
225C22×Q8×C89C2311yescharacteristic
226C22×Q8×C89C2311yescharacteristic
227C22×D4×C89—21no—
228C22×D4×C89—21no—
229C22×D4×C89—21no—
230C22×D4×C89C2311yescharacteristic
231C22×D4×C89C2311yescharacteristic
232C22×D4×C89C2311yescharacteristic
233C23×C4×C89—21no—
234C23×C4×C89C2311yescharacteristic
235#137×C89—42no—
236AGL(1,ℤ/8)×C89—42no—
237AGL(1,ℤ/8)×C89—42no—
238AGL(1,ℤ/8)×C89—42no—
239#135×C89—42no—
240#135×C89—42no—
241#135×C89—42no—
242C2×Q16×C89C2311yescharacteristic
243C2×Q16×C89C2311yescharacteristic
244C2×Q16×C89C2311yescharacteristic
245C2×SD16×C89—42no—
246C2×SD16×C89C2311yescharacteristic
247C2×SD16×C89C2311yescharacteristic
248C2×SD16×C89C2311yescharacteristic
249C2×SD16×C89C2311yescharacteristic
250C2×SD16×C89C2311yescharacteristic
251C2×SD16×C89C2311yescharacteristic
252C2×SD16×C89C2311yescharacteristic
253C2×SD16×C89C2311yescharacteristic
254C2×SD16×C89C2311yescharacteristic
255C2×SD16×C89C2311yescharacteristic
256C2×SD16×C89C2311yescharacteristic
257C2×SD16×C89C2311yescharacteristic
258C2×D8×C89C2311yescharacteristic
259C2×D8×C89C2311yescharacteristic
260C2×D8×C89C2311yescharacteristic
261C2×D8×C89C2311yescharacteristic
262C2×D8×C89C2311yescharacteristic
263C2×D8×C89C2311yescharacteristic
264C2×D8×C89C2311yescharacteristic
265C2×D8×C89C2311yescharacteristic
266C2×D8×C89C2311yescharacteristic
267C2×M16×C89C2311yescharacteristic
268C2×M16×C89C2311yescharacteristic
269C2×M16×C89C2311yescharacteristic
270C2×M16×C89C2311yescharacteristic
271C22×C8×C89C2311yescharacteristic
272C22×C8×C89C2311yescharacteristic
273C22×C8×C89C2311yescharacteristic
274C22×C8×C89C2311yescharacteristic
275C4⋊Q8×C89C2311yescharacteristic
276#127×C89—21no—
277#127×C89—21no—
278#127×C89—21no—
279#127×C89—21no—
280#127×C89—21no—
281#127×C89—21no—
282#127×C89—21no—
283#127×C89C2311yescharacteristic
284#127×C89C2311yescharacteristic
285#127×C89C2311yescharacteristic
286#126×C89—21no—
287#126×C89—21no—
288#126×C89—21no—
289#125×C89—21no—
290#125×C89C2311yescharacteristic
291#124×C89—21no—
292#124×C89—21no—
293#124×C89—21no—
294#124×C89—21no—
295#124×C89—21no—
296#124×C89—21no—
297#124×C89—21no—
298#124×C89—21no—
299#124×C89—21no—
300#124×C89C2311yescharacteristic
301#124×C89C2311yescharacteristic
302#124×C89C2311yescharacteristic
303#123×C89—21no—
304#123×C89—21no—
305#123×C89—21no—
306#123×C89—21no—
307#123×C89—21no—
308#123×C89—21no—
309#123×C89—21no—
310#123×C89—21no—
311#123×C89—21no—
312#123×C89—21no—
313#123×C89—21no—
314#123×C89D411yescharacteristic
315#123×C89D411yescharacteristic
316C22⋊Q8×C89—21no—
317C22⋊Q8×C89—21no—
318C22⋊Q8×C89—21no—
319C22⋊Q8×C89—21no—
320C22⋊Q8×C89—21no—
321C22⋊Q8×C89—21no—
322C22⋊Q8×C89—21no—
323C22⋊Q8×C89D411yescharacteristic
324C22⋊Q8×C89D411yescharacteristic
325C22⋊Q8×C89C2311yescharacteristic
326C22⋊Q8×C89C2311yescharacteristic
327C22⋊Q8×C89C2311yescharacteristic
328C22⋊Q8×C89C2311yescharacteristic
329C22⋊Q8×C89C2311yescharacteristic
330#121×C89—21no—
331#121×C89—21no—
332#121×C89—21no—
333#121×C89—21no—
334#121×C89—21no—
335#121×C89—21no—
336#121×C89—21no—
337#121×C89—21no—
338#121×C89—21no—
339#121×C89—21no—
340#121×C89—21no—
341#121×C89—21no—
342#121×C89—21no—
343#121×C89—21no—
344#121×C89—21no—
345#121×C89—21no—
346#121×C89—21no—
347#121×C89—21no—
348#121×C89—21no—
349#121×C89—21no—
350#121×C89—21no—
351#121×C89—21no—
352#121×C89—21no—
353#121×C89—21no—
354#121×C89—21no—
355#121×C89—21no—
356#121×C89—21no—
357#121×C89—21no—
358#121×C89D411yescharacteristic
359#121×C89D411yescharacteristic
360#121×C89C2311yescharacteristic
361#121×C89C2311yescharacteristic
362#121×C89C2311yescharacteristic
363#121×C89C2311yescharacteristic
364#121×C89C2311yescharacteristic
365#121×C89C2311yescharacteristic
366#121×C89C2311yescharacteristic
367#121×C89C2311yescharacteristic
368#121×C89C2311yescharacteristic
369#121×C89C2311yescharacteristic
370#121×C89C2311yescharacteristic
371#121×C89C2311yescharacteristic
372#121×C89C2311yescharacteristic
373#121×C89C2311yescharacteristic
374#121×C89C2311yescharacteristic
375#120×C89—21no—
376#120×C89—21no—
377#120×C89—21no—
378#120×C89—21no—
379#120×C89—21no—
380#120×C89—21no—
381#120×C89—21no—
382#120×C89—21no—
383#120×C89—21no—
384#120×C89—21no—
385#120×C89—21no—
386#120×C89—21no—
387#120×C89D411yescharacteristic
388#120×C89D411yescharacteristic
389C4×Q8×C89—21no—
390C4×Q8×C89—21no—
391C4×Q8×C89C2311yescharacteristic
392C4×Q8×C89C2311yescharacteristic
393C4×Q8×C89C2311yescharacteristic
394C4×Q8×C89C2311yescharacteristic
395C4×Q8×C89C2311yescharacteristic
396C4×D4×C89—21no—
397C4×D4×C89—21no—
398C4×D4×C89—21no—
399C4×D4×C89—21no—
400C4×D4×C89—21no—
401C4×D4×C89—21no—
402C4×D4×C89—21no—
403C4×D4×C89—21no—
404C4×D4×C89—21no—
405C4×D4×C89—21no—
406C4×D4×C89—21no—
407C4×D4×C89—21no—
408C4×D4×C89—21no—
409C4×D4×C89—21no—
410C4×D4×C89C2311yescharacteristic
411C4×D4×C89C2311yescharacteristic
412C4×D4×C89C2311yescharacteristic
413C4×D4×C89C2311yescharacteristic
414C4×D4×C89C2311yescharacteristic
415C4×D4×C89C2311yescharacteristic
416C4×D4×C89C2311yescharacteristic
417#117×C89—21no—
418#117×C89—21no—
419#117×C89—21no—
420#117×C89—21no—
421#117×C89C2311yescharacteristic
422#117×C89C2311yescharacteristic
423#117×C89C2311yescharacteristic
424#117×C89C2311yescharacteristic
425C2×C4⋊C4×C89C2311yescharacteristic
426C2×C4⋊C4×C89C2311yescharacteristic
427C2×C22⋊C4×C89—21no—
428C2×C22⋊C4×C89—21no—
429C2×C22⋊C4×C89—21no—
430#107×C89C2311yescharacteristic
431#107×C89C2311yescharacteristic
432#107×C89C2311yescharacteristic
433#107×C89C2311yescharacteristic
434#106×C89C2311yescharacteristic
435#106×C89C2311yescharacteristic
436#106×C89C2311yescharacteristic
437#106×C89C2311yescharacteristic
438C4⋊C8×C89C2311yescharacteristic
439C4⋊C8×C89C2311yescharacteristic
440C4⋊C8×C89C2311yescharacteristic
441C4⋊C8×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#103×C89C2311yescharacteristic
451#103×C89C2311yescharacteristic
452#103×C89C2311yescharacteristic
453#103×C89C2311yescharacteristic
454#103×C89C2311yescharacteristic
455#103×C89C2311yescharacteristic
456#102×C89C2311yescharacteristic
457#102×C89C2311yescharacteristic
458#102×C89C2311yescharacteristic
459#102×C89C2311yescharacteristic
460#102×C89C2311yescharacteristic
461#102×C89C2311yescharacteristic
462#102×C89C2311yescharacteristic
463#102×C89C2311yescharacteristic
464#102×C89C2311yescharacteristic
465#102×C89C2311yescharacteristic
466#102×C89C2311yescharacteristic
467#102×C89C2311yescharacteristic
468#102×C89C2311yescharacteristic
469#102×C89C2311yescharacteristic
470#102×C89C2311yescharacteristic
471#102×C89C2311yescharacteristic
472#102×C89C2311yescharacteristic
473#102×C89C2311yescharacteristic
474C22⋊C8×C89C2311yescharacteristic
475C22⋊C8×C89C2311yescharacteristic
476C22⋊C8×C89C2311yescharacteristic
477C22⋊C8×C89C2311yescharacteristic
478C22⋊C8×C89C2311yescharacteristic
479C22⋊C8×C89C2311yescharacteristic
480C22⋊C8×C89C2311yescharacteristic
481C22⋊C8×C89C2311yescharacteristic
482C22⋊C8×C89C2311yescharacteristic
483C22⋊C8×C89C2311yescharacteristic
484C22⋊C8×C89C2311yescharacteristic
485C22⋊C8×C89C2311yescharacteristic
486#97×C89C2311yescharacteristic
487#97×C89C2311yescharacteristic
488C4×C8×C89C2311yescharacteristic
489C4×C8×C89C2311yescharacteristic
490C24×C89—21no—
491C24×C89—21no—
492C24×C89—21no—
493C24×C89C2×D411yescharacteristic
494#41×C89—22no—
495#41×C89—22no—
496#41×C89—22no—
497#41×C89—22no—
498#41×C89—22no—
499#41×C89—22no—
500#41×C89—41no—
501#41×C89—41no—
502#41×C89—41no—
503#41×C89—41no—
504#41×C89—41no—
505#41×C89—41no—
506#41×C89—41no—
507#41×C89—41no—
508#41×C89—41no—
509#41×C89—41no—
510#41×C89—44no—
511#41×C89—44no—
512#41×C89—41no—
513#41×C89—41no—
514#41×C89—41no—
515#41×C89—41no—
516#41×C89—44no—
517#41×C89—44no—
518#41×C89—44no—
519#41×C89—82no—
520C2×Q8×C89—22no—
521C2×Q8×C89—22no—
522C2×Q8×C89—21no—
523C2×Q8×C89—21no—
524C2×Q8×C89—21no—
525C2×Q8×C89—21no—
526C2×Q8×C89—22no—
527C2×Q8×C89—22no—
528C2×Q8×C89—41no—
529C2×Q8×C89—41no—
530C2×Q8×C89—44no—
531C2×Q8×C89C2×D411yescharacteristic
532C2×Q8×C89C2411yescharacteristic
533C2×Q8×C89C2411yescharacteristic
534C2×Q8×C89C2411yescharacteristic
535C2×Q8×C89C2411yescharacteristic
536C2×D4×C89—21no—
537C2×D4×C89—21no—
538C2×D4×C89—21no—
539C2×D4×C89—21no—
540C2×D4×C89—21no—
541C2×D4×C89—21no—
542C2×D4×C89—21no—
543C2×D4×C89—21no—
544C2×D4×C89—21no—
545C2×D4×C89—21no—
546C2×D4×C89—21no—
547C2×D4×C89—21no—
548C2×D4×C89—21no—
549C2×D4×C89—21no—
550C2×D4×C89—21no—
551C2×D4×C89—21no—
552C2×D4×C89—21no—
553C2×D4×C89—21no—
554C2×D4×C89—21no—
555C2×D4×C89—21no—
556C2×D4×C89—21no—
557C2×D4×C89—21no—
558C2×D4×C89—21no—
559C2×D4×C89—21no—
560C2×D4×C89—21no—
561C2×D4×C89—21no—
562C2×D4×C89—21no—
563C2×D4×C89—21no—
564C2×D4×C89—21no—
565C2×D4×C89—21no—
566C2×D4×C89—21no—
567C2×D4×C89—21no—
568C2×D4×C89—21no—
569C2×D4×C89—41no—
570C2×D4×C89—41no—
571C2×D4×C89—41no—
572C2×D4×C89—41no—
573C2×D4×C89—41no—
574C2×D4×C89—41no—
575C2×D4×C89—44no—
576C2×D4×C89—82no—
577C2×D4×C89—82no—
578C2×D4×C89C2×D411yescharacteristic
579C2×D4×C89C2×D411yescharacteristic
580C2×D4×C89C2×D411yescharacteristic
581C2×D4×C89C2×D411yescharacteristic
582C2×D4×C89C2×D411yescharacteristic
583C2×D4×C89C2×D411yescharacteristic
584C2×D4×C89C2×D411yescharacteristic
585C2×D4×C89C2411yescharacteristic
586C2×D4×C89C2411yescharacteristic
587C2×D4×C89C2411yescharacteristic
588C2×D4×C89C2411yescharacteristic
589C2×D4×C89C2411yescharacteristic
590C2×D4×C89C2411yescharacteristic
591C22×C4×C89—21no—
592C22×C4×C89—21no—
593C22×C4×C89—21no—
594C22×C4×C89—21no—
595C22×C4×C89—21no—
596C22×C4×C89—21no—
597C22×C4×C89—21no—
598C22×C4×C89—21no—
599C22×C4×C89—21no—
600C22×C4×C89—21no—
601C22×C4×C89—21no—
602C22×C4×C89—21no—
603C22×C4×C89—21no—
604C22×C4×C89—21no—
605C22×C4×C89—21no—
606C22×C4×C89—21no—
607C22×C4×C89—21no—
608C22×C4×C89—41no—
609C22×C4×C89—41no—
610C22×C4×C89—44no—
611C22×C4×C89C2×D411yescharacteristic
612C22×C4×C89C2×D411yescharacteristic
613C22×C4×C89C2×D411yescharacteristic
614C22×C4×C89C2411yescharacteristic
615C22×C4×C89C2411yescharacteristic
616C22×C4×C89C2411yescharacteristic
617C22×C4×C89C2411yescharacteristic
618C22×C4×C89C2411yescharacteristic
619Q16×C89—22no—
620Q16×C89—22no—
621Q16×C89—41no—
622SD16×C89—22no—
623SD16×C89—22no—
624SD16×C89—22no—
625SD16×C89—22no—
626SD16×C89—22no—
627SD16×C89—22no—
628SD16×C89—41no—
629SD16×C89—41no—
630SD16×C89—41no—
631SD16×C89—41no—
632SD16×C89—41no—
633SD16×C89—41no—
634D8×C89—41no—
635D8×C89—41no—
636D8×C89—41no—
637D8×C89—41no—
638D8×C89—41no—
639D8×C89—41no—
640D8×C89—41no—
641D8×C89—41no—
642D8×C89—41no—
643M16×C89—41no—
644M16×C89—41no—
645M16×C89—41no—
646M16×C89—41no—
647C2×C8×C89—41no—
648C2×C8×C89—41no—
649C2×C8×C89—41no—
650C2×C8×C89—41no—
651C2×C8×C89C2411yescharacteristic
652C2×C8×C89C2411yescharacteristic
653C2×C8×C89C2411yescharacteristic
654C2×C8×C89C2411yescharacteristic
655C2×C8×C89C2411yescharacteristic
656C2×C8×C89C2411yescharacteristic
657C2×C8×C89C2411yescharacteristic
658C2×C8×C89C2411yescharacteristic
659C4⋊C4×C89—21no—
660C4⋊C4×C89—21no—
661C4⋊C4×C89—21no—
662C4⋊C4×C89—21no—
663C4⋊C4×C89—21no—
664C4⋊C4×C89—21no—
665C4⋊C4×C89—21no—
666C4⋊C4×C89—21no—
667C4⋊C4×C89—21no—
668C4⋊C4×C89—21no—
669C4⋊C4×C89—21no—
670C4⋊C4×C89—21no—
671C4⋊C4×C89—21no—
672C4⋊C4×C89—21no—
673C4⋊C4×C89—21no—
674C4⋊C4×C89C2×D411yescharacteristic
675C4⋊C4×C89C2×D411yescharacteristic
676C4⋊C4×C89C2×D411yescharacteristic
677C4⋊C4×C89C2×D411yescharacteristic
678C4⋊C4×C89C2×D411yescharacteristic
679C4⋊C4×C89C2×D411yescharacteristic
680C4⋊C4×C89C2411yescharacteristic
681C4⋊C4×C89C2411yescharacteristic
682C4⋊C4×C89C2411yescharacteristic
683C4⋊C4×C89C2411yescharacteristic
684C4⋊C4×C89C2411yescharacteristic
685C4⋊C4×C89C2411yescharacteristic
686C22⋊C4×C89—21no—
687C22⋊C4×C89—21no—
688C22⋊C4×C89—21no—
689C22⋊C4×C89—21no—
690C22⋊C4×C89—21no—
691C22⋊C4×C89—21no—
692C22⋊C4×C89—21no—
693C22⋊C4×C89—21no—
694C22⋊C4×C89—21no—
695C22⋊C4×C89—21no—
696C22⋊C4×C89—21no—
697C22⋊C4×C89—21no—
698C22⋊C4×C89—21no—
699C22⋊C4×C89—21no—
700C22⋊C4×C89—21no—
701C22⋊C4×C89—21no—
702C22⋊C4×C89—21no—
703C22⋊C4×C89—21no—
704C22⋊C4×C89—21no—
705C22⋊C4×C89—21no—
706C22⋊C4×C89—21no—
707C22⋊C4×C89—21no—
708C22⋊C4×C89—21no—
709C22⋊C4×C89—21no—
710C22⋊C4×C89—21no—
711C22⋊C4×C89—21no—
712C22⋊C4×C89—21no—
713C22⋊C4×C89—21no—
714C22⋊C4×C89—21no—
715C22⋊C4×C89—21no—
716C22⋊C4×C89—21no—
717C22⋊C4×C89—21no—
718C22⋊C4×C89C2×D411yescharacteristic
719C22⋊C4×C89C2×D411yescharacteristic
720C22⋊C4×C89C2×D411yescharacteristic
721C22⋊C4×C89C2×D411yescharacteristic
722C22⋊C4×C89C2×D411yescharacteristic
723C22⋊C4×C89C2×D411yescharacteristic
724C22⋊C4×C89C2×D411yescharacteristic
725C22⋊C4×C89C2×D411yescharacteristic
726C22⋊C4×C89C2×D411yescharacteristic
727C22⋊C4×C89C2×D411yescharacteristic
728C42×C89—21no—
729C42×C89—21no—
730C42×C89—21no—
731C42×C89—21no—
732C42×C89—21no—
733C42×C89—21no—
734C42×C89—21no—
735C42×C89—21no—
736C42×C89C2411yescharacteristic
737C42×C89C2411yescharacteristic
738C23×C89—21no—
739C23×C89—21no—
740C23×C89—21no—
741C23×C89—21no—
742C23×C89—21no—
743C23×C89—21no—
744C23×C89—41no—
745C23×C89—41no—
746C23×C89—41no—
747C23×C89—42no—
748C23×C89—42no—
749C23×C89—81no—
750C23×C89—81no—
751C23×C89—81no—
752C23×C89—81no—
753C23×C89—81no—
754C23×C89—81no—
755C23×C89—81no—
756C23×C89C22×D411yescharacteristic
757C23×C89C22×D411yescharacteristic
758C23×C89C22×D411yescharacteristic
759C23×C89C22×D411yescharacteristic
760C23×C89C22×D411yescharacteristic
761Q8×C89—24no—
762Q8×C89—21no—
763Q8×C89—21no—
764Q8×C89—21no—
765Q8×C89—21no—
766Q8×C89—21no—
767Q8×C89—21no—
768Q8×C89—41no—
769Q8×C89—42no—
770Q8×C89—42no—
771Q8×C89—81no—
772Q8×C89H(5,𝔽2)12yes—
773Q8×C89H(5,𝔽2)12yes—
774D4×C89—21no—
775D4×C89—21no—
776D4×C89—21no—
777D4×C89—21no—
778D4×C89—21no—
779D4×C89—21no—
780D4×C89—21no—
781D4×C89—21no—
782D4×C89—21no—
783D4×C89—21no—
784D4×C89—21no—
785D4×C89—21no—
786D4×C89—41no—
787D4×C89—41no—
788D4×C89—41no—
789D4×C89—41no—
790D4×C89—41no—
791D4×C89—41no—
792D4×C89—41no—
793D4×C89—42no—
794D4×C89—42no—
795D4×C89—42no—
796D4×C89—42no—
797D4×C89—42no—
798D4×C89—42no—
799D4×C89—42no—
800D4×C89—42no—
801D4×C89—42no—
802D4×C89—81no—
803D4×C89—81no—
804D4×C89—81no—
805D4×C89—81no—
806D4×C89—81no—
807D4×C89—81no—
808D4×C89—81no—
809D4×C89—81no—
810D4×C89—81no—
811D4×C89—81no—
812D4×C89—81no—
813D4×C89—81no—
814D4×C89—81no—
815D4×C89—81no—
816D4×C89—81no—
817D4×C89—81no—
818D4×C89—81no—
819D4×C89—81no—
820D4×C89—81no—
821D4×C89—81no—
822D4×C89—81no—
823D4×C89—81no—
824D4×C89—81no—
825D4×C89—81no—
826C2×C4×C89—24no—
827C2×C4×C89—21no—
828C2×C4×C89—21no—
829C2×C4×C89—21no—
830C2×C4×C89—21no—
831C2×C4×C89—21no—
832C2×C4×C89—21no—
833C2×C4×C89—21no—
834C2×C4×C89—21no—
835C2×C4×C89—21no—
836C2×C4×C89—21no—
837C2×C4×C89—21no—
838C2×C4×C89—21no—
839C2×C4×C89—21no—
840C2×C4×C89—21no—
841C2×C4×C89—21no—
842C2×C4×C89—21no—
843C2×C4×C89—21no—
844C2×C4×C89—21no—
845C2×C4×C89—21no—
846C2×C4×C89—21no—
847C2×C4×C89—41no—
848C2×C4×C89—41no—
849C2×C4×C89—41no—
850C2×C4×C89—42no—
851C2×C4×C89—42no—
852C2×C4×C89—42no—
853C2×C4×C89—42no—
854C2×C4×C89—42no—
855C2×C4×C89—42no—
856C2×C4×C89—42no—
857C2×C4×C89—42no—
858C2×C4×C89—42no—
859C2×C4×C89—42no—
860C2×C4×C89—81no—
861C2×C4×C89—81no—
862C2×C4×C89—81no—
863C2×C4×C89—81no—
864C2×C4×C89—81no—
865C2×C4×C89—81no—
866C2×C4×C89C22×D411yescharacteristic
867C2×C4×C89C22×D411yescharacteristic
868C2×C4×C89C22×D411yescharacteristic
869C2×C4×C89C22×D411yescharacteristic
870C2×C4×C89C22×D411yescharacteristic
871C2×C4×C89C22×D411yescharacteristic
872C2×C4×C89C22×D411yescharacteristic
873C2×C4×C89C22×D411yescharacteristic
874C2×C4×C89C22×D411yescharacteristic
875C2×C4×C89C2511yescharacteristic
876C8×C89—21no—
877C8×C89—21no—
878C8×C89—21no—
879C8×C89—21no—
880C8×C89—21no—
881C8×C89—21no—
882C8×C89—21no—
883C8×C89—21no—
884C22×C89—21no—
885C22×C89—21no—
886C22×C89—21no—
887C22×C89—21no—
888C22×C89—21no—
889C22×C89—21no—
890C22×C89—21no—
891C22×C89—21no—
892C22×C89—21no—
893C22×C89—21no—
894C22×C89—21no—
895C22×C89—21no—
896C22×C89—21no—
897C22×C89—21no—
898C22×C89—21no—
899C22×C89—41no—
900C22×C89—41no—
901C22×C89—41no—
902C22×C89—41no—
903C22×C89—41no—
904C22×C89—41no—
905C22×C89—41no—
906C22×C89—41no—
907C22×C89—41no—
908C22×C89—41no—
909C22×C89—41no—
910C22×C89—41no—
911C22×C89—41no—
912C22×C89—41no—
913C22×C89—41no—
914C22×C89—41no—
915C22×C89—41no—
916C22×C89—41no—
917C22×C89—82no—
918C22×C89—84no—
919C22×C89—162no—
920C22×C89—162no—
921C22×C89C23×D411yescharacteristic
922C4×C89—21no—
923C4×C89—21no—
924C4×C89—21no—
925C4×C89—21no—
926C4×C89—22no—
927C4×C89—22no—
928C4×C89—21no—
929C4×C89—21no—
930C4×C89—21no—
931C4×C89—21no—
932C4×C89—21no—
933C4×C89—41no—
934C4×C89—41no—
935C4×C89—41no—
936C4×C89—41no—
937C4×C89—41no—
938C4×C89—41no—
939C4×C89—41no—
940C4×C89—41no—
941C4×C89C2×H(5,𝔽2)11yescharacteristic
942C4×C89C2×H(5,𝔽2)11yescharacteristic
943#61616C8911yesmaximal, characteristic, direct product factor, Sylow
944C2×C89—41no—
945C2×C89—41no—
946C2×C89—41no—
947C2×C89—41no—
948C2×C89—41no—
949C2×C89—81no—
950C2×C89—81no—
951C2×C89—81no—
952C2×C89—81no—
953C2×C89—81no—
954C2×C89—81no—
955C2×C89#348411yescharacteristic
956C2×C89#358411yescharacteristic
957C2×C89#358511yescharacteristic
958#3542C2×C8911yescharacteristic, complemented
959#3487C2×C8911yescharacteristic, complemented
960#3332C2×C8911yescharacteristic, complemented
961#3327C2×C8911yescharacteristic, complemented
962#3321C2×C8911yescharacteristic, complemented
963#3317C2×C8911yescharacteristic, complemented
964#3309C2×C8911yescharacteristic, complemented
965#3308C2×C8911yescharacteristic, complemented
966#3305C2×C8911yescharacteristic, complemented
967#3301C2×C8911yescharacteristic, complemented
968#3287C2×C8911yescharacteristic, complemented
969#3282C2×C8911yescharacteristic, complemented
970#3275C2×C8911yescharacteristic, complemented
971#3274C2×C8911yescharacteristic, complemented
972#3271C2×C8911yescharacteristic, complemented
973#3268C2×C8911yescharacteristic, complemented
974#3268C2×C8911yescharacteristic, complemented
975#3265C2×C8911yescharacteristic, complemented
976#3224C2×C8911yescharacteristic, complemented
977#3220C2×C8911yescharacteristic, complemented
978#3199C2×C8911yescharacteristic, complemented
979#3198C2×C8911yescharacteristic, complemented
980#3197C2×C8911yescharacteristic, complemented
981#3188C2×C8911yescharacteristic, complemented
982#3126C2×C8911yescharacteristic, complemented
983#3121C2×C8911yescharacteristic, complemented
984#3013C2×C8911yescharacteristic, complemented
985#3010C2×C8911yescharacteristic, complemented
986#3006C2×C8911yescharacteristic, complemented
987#3002C2×C8911yescharacteristic, complemented
988#2976C2×C8911yescharacteristic, complemented
989C89#6161611yescharacteristic, direct product factor, Sylow
990C2×2−1+4C22×C8911yescharacteristic, complemented
991C22×#41C22×C8911yescharacteristic, complemented
992C2×#137C22×C8911yescharacteristic, complemented
993C2×AGL(1,ℤ/8)C22×C8911yescharacteristic
994C2×AGL(1,ℤ/8)C22×C8911yescharacteristic
995C2×AGL(1,ℤ/8)C22×C8911yescharacteristic, complemented
996C2×#135C22×C8911yescharacteristic, complemented
997C2×#135C22×C8911yescharacteristic, complemented
998C2×#135C22×C8911yescharacteristic, complemented
999C22×SD16C22×C8911yescharacteristic, complemented
1000#562—21no—
1001#560—21no—
1002#555C22×C8911yescharacteristic, complemented
1003#553C22×C8911yescharacteristic, complemented
1004#552C22×C8911yescharacteristic, complemented
1005#551—21no—
1006#550—21no—
1007#550—21no—
1008#550C22×C8911yescharacteristic
1009#550C22×C8911yescharacteristic, complemented
1010#550C22×C8911yescharacteristic, complemented
1011#550C22×C8911yescharacteristic, complemented
1012#550C22×C8911yescharacteristic, complemented
1013#548—21no—
1014#548—21no—
1015#548C22×C8911yescharacteristic
1016#548C22×C8911yescharacteristic, complemented
1017#548C22×C8911yescharacteristic, complemented
1018#548C22×C8911yescharacteristic, complemented
1019#547C22×C8911yescharacteristic, complemented
1020#546—21no—
1021#546C22×C8911yescharacteristic, complemented
1022#546C22×C8911yescharacteristic, complemented
1023D42C22×C8911yescharacteristic, complemented
1024#542C22×C8911yescharacteristic
1025#540—21no—
1026#540C22×C8911yescharacteristic
1027#538—21no—
1028#537C22×C8911yescharacteristic
1029#535—21no—
1030#535—21no—
1031#535—21no—
1032#535C22×C8911yescharacteristic
1033#535C22×C8911yescharacteristic, complemented
1034#535C22×C8911yescharacteristic, complemented
1035#534—21no—
1036#525—21no—
1037#525—21no—
1038#525C22×C8911yescharacteristic
1039#525C22×C8911yescharacteristic
1040#525C22×C8911yescharacteristic, complemented
1041C2×#121C22×C8911yescharacteristic
1042#519C22×C8911yescharacteristic, complemented
1043#496C22×C8911yescharacteristic, complemented
1044#496C22×C8911yescharacteristic, complemented
1045#495C22×C8911yescharacteristic, complemented
1046#493C22×C8911yescharacteristic, complemented
1047#490C22×C8911yescharacteristic, complemented
1048#489C22×C8911yescharacteristic, complemented
1049#488C22×C8911yescharacteristic, complemented
1050#486C22×C8911yescharacteristic, complemented
1051#485C22×C8911yescharacteristic, complemented
1052#485C22×C8911yescharacteristic, complemented
1053#484C22×C8911yescharacteristic, complemented
1054#482C22×C8911yescharacteristic
1055#482C22×C8911yescharacteristic, complemented
1056#482C22×C8911yescharacteristic, complemented
1057#482C22×C8911yescharacteristic, complemented
1058#482C22×C8911yescharacteristic, complemented
1059#482C22×C8911yescharacteristic, complemented
1060#481C22×C8911yescharacteristic, complemented
1061#481C22×C8911yescharacteristic, complemented
1062#480C22×C8911yescharacteristic, complemented
1063#479C22×C8911yescharacteristic, complemented
1064#479C22×C8911yescharacteristic, complemented
1065#477C22×C8911yescharacteristic, complemented
1066#475C22×C8911yescharacteristic, complemented
1067#470C22×C8911yescharacteristic, complemented
1068#469C22×C8911yescharacteristic, complemented
1069#469C22×C8911yescharacteristic, complemented
1070#469C22×C8911yescharacteristic, complemented
1071#469C22×C8911yescharacteristic, complemented
1072#468C22×C8911yescharacteristic, complemented
1073#468C22×C8911yescharacteristic, complemented
1074#468C22×C8911yescharacteristic, complemented
1075#466C22×C8911yescharacteristic, complemented
1076#466C22×C8911yescharacteristic, complemented
1077#466C22×C8911yescharacteristic, complemented
1078#466C22×C8911yescharacteristic, complemented
1079#466C22×C8911yescharacteristic, complemented
1080#465C22×C8911yescharacteristic, complemented
1081#465C22×C8911yescharacteristic, complemented
1082#465C22×C8911yescharacteristic, complemented
1083#464C22×C8911yescharacteristic, complemented
1084#464C22×C8911yescharacteristic, complemented
1085#464C22×C8911yescharacteristic, complemented
1086#463C22×C8911yescharacteristic, complemented
1087#463C22×C8911yescharacteristic, complemented
1088#463C22×C8911yescharacteristic, complemented
1089#460C22×C8911yescharacteristic, complemented
1090#460C22×C8911yescharacteristic, complemented
1091#460C22×C8911yescharacteristic, complemented
1092#459C22×C8911yescharacteristic, complemented
1093#459C22×C8911yescharacteristic, complemented
1094#459C22×C8911yescharacteristic, complemented
1095#452C22×C8911yescharacteristic, complemented
1096#452C22×C8911yescharacteristic, complemented
1097#452C22×C8911yescharacteristic, complemented
1098#452C22×C8911yescharacteristic, complemented
1099#452C22×C8911yescharacteristic, complemented
1100#451C22×C8911yescharacteristic, complemented
1101#451C22×C8911yescharacteristic, complemented
1102#450C22×C8911yescharacteristic, complemented
1103#450C22×C8911yescharacteristic, complemented
1104#449C22×C8911yescharacteristic
1105#449C22×C8911yescharacteristic
1106#449C22×C8911yescharacteristic
1107#449C22×C8911yescharacteristic
1108#449C22×C8911yescharacteristic
1109#449C22×C8911yescharacteristic, complemented
1110#449C22×C8911yescharacteristic, complemented
1111#449C22×C8911yescharacteristic, complemented
1112#449C22×C8911yescharacteristic, complemented
1113#449C22×C8911yescharacteristic, complemented
1114#449C22×C8911yescharacteristic, complemented
1115#449C22×C8911yescharacteristic, complemented
1116#449C22×C8911yescharacteristic, complemented
1117#449C22×C8911yescharacteristic, complemented
1118#449C22×C8911yescharacteristic, complemented
1119#448C22×C8911yescharacteristic
1120#448C22×C8911yescharacteristic, complemented
1121#448C22×C8911yescharacteristic, complemented
1122#448C22×C8911yescharacteristic, complemented
1123#448C22×C8911yescharacteristic, complemented
1124#448C22×C8911yescharacteristic, complemented
1125#447C22×C8911yescharacteristic
1126#447C22×C8911yescharacteristic, complemented
1127#447C22×C8911yescharacteristic, complemented
1128#447C22×C8911yescharacteristic, complemented
1129#447C22×C8911yescharacteristic, complemented
1130#447C22×C8911yescharacteristic, complemented
1131#441C22×C8911yescharacteristic, complemented
1132#440C22×C8911yescharacteristic, complemented
1133#440C22×C8911yescharacteristic, complemented
1134#440C22×C8911yescharacteristic, complemented
1135C4×Q16C22×C8911yescharacteristic, complemented
1136C4×SD16C22×C8911yescharacteristic, complemented
1137C4×SD16C22×C8911yescharacteristic, complemented
1138C4×SD16C22×C8911yescharacteristic, complemented
1139#436C22×C8911yescharacteristic, complemented
1140#436C22×C8911yescharacteristic, complemented
1141#435C22×C8911yescharacteristic, complemented
1142#435C22×C8911yescharacteristic, complemented
1143#435C22×C8911yescharacteristic, complemented
1144#435C22×C8911yescharacteristic, complemented
1145C8×D4C22×C8911yescharacteristic, complemented
1146C8×D4C22×C8911yescharacteristic, complemented
1147#433C22×C8911yescharacteristic, complemented
1148#433C22×C8911yescharacteristic, complemented
1149#419C22×C8911yescharacteristic, complemented
1150#417C22×C8911yescharacteristic, complemented
1151#417C22×C8911yescharacteristic, complemented
1152#417C22×C8911yescharacteristic, complemented
1153#416C22×C8911yescharacteristic, complemented
1154#416C22×C8911yescharacteristic, complemented
1155#416C22×C8911yescharacteristic, complemented
1156C2×#103C22×C8911yescharacteristic, complemented
1157#408C22×C8911yescharacteristic, complemented
1158#408C22×C8911yescharacteristic, complemented
1159#407C22×C8911yescharacteristic, complemented
1160C2×C22⋊C8C22×C8911yescharacteristic, complemented
11612−1+4—42no—
11622−1+4—42no—
1163C2×#41—21no—
1164C2×#41—21no—
1165C2×#41—21no—
1166C2×#41—21no—
1167C2×#41—21no—
1168C2×#41—21no—
1169C2×#41—42no—
1170C2×#41—42no—
1171C2×#41C23×C8911yescharacteristic
1172C2×#41C23×C8911yescharacteristic
1173C2×#41C23×C8911yescharacteristic
1174C2×#41C23×C8911yescharacteristic
1175C2×#41C23×C8911yescharacteristic
1176C2×#41C23×C8911yescharacteristic
1177C2×#41C23×C8911yescharacteristic
1178C2×#41C23×C8911yescharacteristic
1179C2×#41C23×C8911yescharacteristic
1180C2×#41C23×C8911yescharacteristic
1181C22×Q8—21no—
1182C22×Q8C23×C8911yescharacteristic
1183C22×Q8C23×C8911yescharacteristic
1184C22×Q8C23×C8911yescharacteristic
1185C22×D4—21no—
1186C22×D4—21no—
1187C22×D4—21no—
1188C22×D4C23×C8911yescharacteristic
1189C22×D4C23×C8911yescharacteristic
1190C22×D4C23×C8911yescharacteristic
1191C23×C4—21no—
1192C23×C4C23×C8911yescharacteristic
1193#137—42no—
1194AGL(1,ℤ/8)—42no—
1195AGL(1,ℤ/8)—42no—
1196AGL(1,ℤ/8)—42no—
1197#135—42no—
1198#135—42no—
1199#135—42no—
1200C2×Q16C23×C8911yescharacteristic
1201C2×Q16C23×C8911yescharacteristic
1202C2×Q16C23×C8911yescharacteristic
1203C2×SD16—42no—
1204C2×SD16C23×C8911yescharacteristic
1205C2×SD16C23×C8911yescharacteristic
1206C2×SD16C23×C8911yescharacteristic
1207C2×SD16C23×C8911yescharacteristic
1208C2×SD16C23×C8911yescharacteristic
1209C2×SD16C23×C8911yescharacteristic
1210C2×SD16C23×C8911yescharacteristic
1211C2×SD16C23×C8911yescharacteristic
1212C2×SD16C23×C8911yescharacteristic
1213C2×SD16C23×C8911yescharacteristic
1214C2×SD16C23×C8911yescharacteristic
1215C2×SD16C23×C8911yescharacteristic
1216C2×D8C23×C8911yescharacteristic
1217C2×D8C23×C8911yescharacteristic
1218C2×D8C23×C8911yescharacteristic
1219C2×D8C23×C8911yescharacteristic
1220C2×D8C23×C8911yescharacteristic
1221C2×D8C23×C8911yescharacteristic
1222C2×D8C23×C8911yescharacteristic
1223C2×D8C23×C8911yescharacteristic
1224C2×D8C23×C8911yescharacteristic
1225C2×M16C23×C8911yescharacteristic
1226C2×M16C23×C8911yescharacteristic
1227C2×M16C23×C8911yescharacteristic
1228C2×M16C23×C8911yescharacteristic
1229C22×C8C23×C8911yescharacteristic
1230C22×C8C23×C8911yescharacteristic
1231C22×C8C23×C8911yescharacteristic
1232C22×C8C23×C8911yescharacteristic
1233C4⋊Q8C23×C8911yescharacteristic
1234#127—21no—
1235#127—21no—
1236#127—21no—
1237#127—21no—
1238#127—21no—
1239#127—21no—
1240#127—21no—
1241#127C23×C8911yescharacteristic
1242#127C23×C8911yescharacteristic
1243#127C23×C8911yescharacteristic
1244#126—21no—
1245#126—21no—
1246#126—21no—
1247#125—21no—
1248#125C23×C8911yescharacteristic
1249#124—21no—
1250#124—21no—
1251#124—21no—
1252#124—21no—
1253#124—21no—
1254#124—21no—
1255#124—21no—
1256#124—21no—
1257#124—21no—
1258#124C23×C8911yescharacteristic
1259#124C23×C8911yescharacteristic
1260#124C23×C8911yescharacteristic
1261#123—21no—
1262#123—21no—
1263#123—21no—
1264#123—21no—
1265#123—21no—
1266#123—21no—
1267#123—21no—
1268#123—21no—
1269#123—21no—
1270#123—21no—
1271#123—21no—
1272#123D4×C8911yescharacteristic
1273#123D4×C8911yescharacteristic
1274C22⋊Q8—21no—
1275C22⋊Q8—21no—
1276C22⋊Q8—21no—
1277C22⋊Q8—21no—
1278C22⋊Q8—21no—
1279C22⋊Q8—21no—
1280C22⋊Q8—21no—
1281C22⋊Q8D4×C8911yescharacteristic
1282C22⋊Q8D4×C8911yescharacteristic
1283C22⋊Q8C23×C8911yescharacteristic
1284C22⋊Q8C23×C8911yescharacteristic
1285C22⋊Q8C23×C8911yescharacteristic
1286C22⋊Q8C23×C8911yescharacteristic
1287C22⋊Q8C23×C8911yescharacteristic
1288#121—21no—
1289#121—21no—
1290#121—21no—
1291#121—21no—
1292#121—21no—
1293#121—21no—
1294#121—21no—
1295#121—21no—
1296#121—21no—
1297#121—21no—
1298#121—21no—
1299#121—21no—
1300#121—21no—
1301#121—21no—
1302#121—21no—
1303#121—21no—
1304#121—21no—
1305#121—21no—
1306#121—21no—
1307#121—21no—
1308#121—21no—
1309#121—21no—
1310#121—21no—
1311#121—21no—
1312#121—21no—
1313#121—21no—
1314#121—21no—
1315#121—21no—
1316#121D4×C8911yescharacteristic
1317#121D4×C8911yescharacteristic
1318#121C23×C8911yescharacteristic
1319#121C23×C8911yescharacteristic
1320#121C23×C8911yescharacteristic
1321#121C23×C8911yescharacteristic
1322#121C23×C8911yescharacteristic
1323#121C23×C8911yescharacteristic
1324#121C23×C8911yescharacteristic
1325#121C23×C8911yescharacteristic
1326#121C23×C8911yescharacteristic
1327#121C23×C8911yescharacteristic
1328#121C23×C8911yescharacteristic
1329#121C23×C8911yescharacteristic
1330#121C23×C8911yescharacteristic
1331#121C23×C8911yescharacteristic
1332#121C23×C8911yescharacteristic
1333#120—21no—
1334#120—21no—
1335#120—21no—
1336#120—21no—
1337#120—21no—
1338#120—21no—
1339#120—21no—
1340#120—21no—
1341#120—21no—
1342#120—21no—
1343#120—21no—
1344#120—21no—
1345#120D4×C8911yescharacteristic
1346#120D4×C8911yescharacteristic
1347C4×Q8—21no—
1348C4×Q8—21no—
1349C4×Q8C23×C8911yescharacteristic
1350C4×Q8C23×C8911yescharacteristic
1351C4×Q8C23×C8911yescharacteristic
1352C4×Q8C23×C8911yescharacteristic
1353C4×Q8C23×C8911yescharacteristic
1354C4×D4—21no—
1355C4×D4—21no—
1356C4×D4—21no—
1357C4×D4—21no—
1358C4×D4—21no—
1359C4×D4—21no—
1360C4×D4—21no—
1361C4×D4—21no—
1362C4×D4—21no—
1363C4×D4—21no—
1364C4×D4—21no—
1365C4×D4—21no—
1366C4×D4—21no—
1367C4×D4—21no—
1368C4×D4C23×C8911yescharacteristic
1369C4×D4C23×C8911yescharacteristic
1370C4×D4C23×C8911yescharacteristic
1371C4×D4C23×C8911yescharacteristic
1372C4×D4C23×C8911yescharacteristic
1373C4×D4C23×C8911yescharacteristic
1374C4×D4C23×C8911yescharacteristic
1375#117—21no—
1376#117—21no—
1377#117—21no—
1378#117—21no—
1379#117C23×C8911yescharacteristic
1380#117C23×C8911yescharacteristic
1381#117C23×C8911yescharacteristic
1382#117C23×C8911yescharacteristic
1383C2×C4⋊C4C23×C8911yescharacteristic
1384C2×C4⋊C4C23×C8911yescharacteristic
1385C2×C22⋊C4—21no—
1386C2×C22⋊C4—21no—
1387C2×C22⋊C4—21no—
1388#107C23×C8911yescharacteristic
1389#107C23×C8911yescharacteristic
1390#107C23×C8911yescharacteristic
1391#107C23×C8911yescharacteristic
1392#106C23×C8911yescharacteristic
1393#106C23×C8911yescharacteristic
1394#106C23×C8911yescharacteristic
1395#106C23×C8911yescharacteristic
1396C4⋊C8C23×C8911yescharacteristic
1397C4⋊C8C23×C8911yescharacteristic
1398C4⋊C8C23×C8911yescharacteristic
1399C4⋊C8C23×C8911yescharacteristic
1400#103C23×C8911yescharacteristic
1401#103C23×C8911yescharacteristic
1402#103C23×C8911yescharacteristic
1403#103C23×C8911yescharacteristic
1404#103C23×C8911yescharacteristic
1405#103C23×C8911yescharacteristic
1406#103C23×C8911yescharacteristic
1407#103C23×C8911yescharacteristic
1408#103C23×C8911yescharacteristic
1409#103C23×C8911yescharacteristic
1410#103C23×C8911yescharacteristic
1411#103C23×C8911yescharacteristic
1412#103C23×C8911yescharacteristic
1413#103C23×C8911yescharacteristic
1414#102C23×C8911yescharacteristic
1415#102C23×C8911yescharacteristic
1416#102C23×C8911yescharacteristic
1417#102C23×C8911yescharacteristic
1418#102C23×C8911yescharacteristic
1419#102C23×C8911yescharacteristic
1420#102C23×C8911yescharacteristic
1421#102C23×C8911yescharacteristic
1422#102C23×C8911yescharacteristic
1423#102C23×C8911yescharacteristic
1424#102C23×C8911yescharacteristic
1425#102C23×C8911yescharacteristic
1426#102C23×C8911yescharacteristic
1427#102C23×C8911yescharacteristic
1428#102C23×C8911yescharacteristic
1429#102C23×C8911yescharacteristic
1430#102C23×C8911yescharacteristic
1431#102C23×C8911yescharacteristic
1432C22⋊C8C23×C8911yescharacteristic
1433C22⋊C8C23×C8911yescharacteristic
1434C22⋊C8C23×C8911yescharacteristic
1435C22⋊C8C23×C8911yescharacteristic
1436C22⋊C8C23×C8911yescharacteristic
1437C22⋊C8C23×C8911yescharacteristic
1438C22⋊C8C23×C8911yescharacteristic
1439C22⋊C8C23×C8911yescharacteristic
1440C22⋊C8C23×C8911yescharacteristic
1441C22⋊C8C23×C8911yescharacteristic
1442C22⋊C8C23×C8911yescharacteristic
1443C22⋊C8C23×C8911yescharacteristic
1444#97C23×C8911yescharacteristic
1445#97C23×C8911yescharacteristic
1446C4×C8C23×C8911yescharacteristic
1447C4×C8C23×C8911yescharacteristic
1448C24—21no—
1449C24—21no—
1450C24—21no—
1451C24C2×D4×C8911yescharacteristic
1452#41—22no—
1453#41—22no—
1454#41—22no—
1455#41—22no—
1456#41—22no—
1457#41—22no—
1458#41—41no—
1459#41—41no—
1460#41—41no—
1461#41—41no—
1462#41—41no—
1463#41—41no—
1464#41—41no—
1465#41—41no—
1466#41—41no—
1467#41—41no—
1468#41—44no—
1469#41—44no—
1470#41—41no—
1471#41—41no—
1472#41—41no—
1473#41—41no—
1474#41—44no—
1475#41—44no—
1476#41—44no—
1477#41—82no—
1478C2×Q8—22no—
1479C2×Q8—22no—
1480C2×Q8—21no—
1481C2×Q8—21no—
1482C2×Q8—21no—
1483C2×Q8—21no—
1484C2×Q8—22no—
1485C2×Q8—22no—
1486C2×Q8—41no—
1487C2×Q8—41no—
1488C2×Q8—44no—
1489C2×Q8C2×D4×C8911yescharacteristic
1490C2×Q8C24×C8911yescharacteristic
1491C2×Q8C24×C8911yescharacteristic
1492C2×Q8C24×C8911yescharacteristic
1493C2×Q8C24×C8911yescharacteristic
1494C2×D4—21no—
1495C2×D4—21no—
1496C2×D4—21no—
1497C2×D4—21no—
1498C2×D4—21no—
1499C2×D4—21no—
1500C2×D4—21no—
1501C2×D4—21no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—21no—
1514C2×D4—21no—
1515C2×D4—21no—
1516C2×D4—21no—
1517C2×D4—21no—
1518C2×D4—21no—
1519C2×D4—21no—
1520C2×D4—21no—
1521C2×D4—21no—
1522C2×D4—21no—
1523C2×D4—21no—
1524C2×D4—21no—
1525C2×D4—21no—
1526C2×D4—21no—
1527C2×D4—41no—
1528C2×D4—41no—
1529C2×D4—41no—
1530C2×D4—41no—
1531C2×D4—41no—
1532C2×D4—41no—
1533C2×D4—44no—
1534C2×D4—82no—
1535C2×D4—82no—
1536C2×D4C2×D4×C8911yescharacteristic
1537C2×D4C2×D4×C8911yescharacteristic
1538C2×D4C2×D4×C8911yescharacteristic
1539C2×D4C2×D4×C8911yescharacteristic
1540C2×D4C2×D4×C8911yescharacteristic
1541C2×D4C2×D4×C8911yescharacteristic
1542C2×D4C2×D4×C8911yescharacteristic
1543C2×D4C24×C8911yescharacteristic
1544C2×D4C24×C8911yescharacteristic
1545C2×D4C24×C8911yescharacteristic
1546C2×D4C24×C8911yescharacteristic
1547C2×D4C24×C8911yescharacteristic
1548C2×D4C24×C8911yescharacteristic
1549C22×C4—21no—
1550C22×C4—21no—
1551C22×C4—21no—
1552C22×C4—21no—
1553C22×C4—21no—
1554C22×C4—21no—
1555C22×C4—21no—
1556C22×C4—21no—
1557C22×C4—21no—
1558C22×C4—21no—
1559C22×C4—21no—
1560C22×C4—21no—
1561C22×C4—21no—
1562C22×C4—21no—
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—41no—
1567C22×C4—41no—
1568C22×C4—44no—
1569C22×C4C2×D4×C8911yescharacteristic
1570C22×C4C2×D4×C8911yescharacteristic
1571C22×C4C2×D4×C8911yescharacteristic
1572C22×C4C24×C8911yescharacteristic
1573C22×C4C24×C8911yescharacteristic
1574C22×C4C24×C8911yescharacteristic
1575C22×C4C24×C8911yescharacteristic
1576C22×C4C24×C8911yescharacteristic
1577Q16—22no—
1578Q16—22no—
1579Q16—41no—
1580SD16—22no—
1581SD16—22no—
1582SD16—22no—
1583SD16—22no—
1584SD16—22no—
1585SD16—22no—
1586SD16—41no—
1587SD16—41no—
1588SD16—41no—
1589SD16—41no—
1590SD16—41no—
1591SD16—41no—
1592D8—41no—
1593D8—41no—
1594D8—41no—
1595D8—41no—
1596D8—41no—
1597D8—41no—
1598D8—41no—
1599D8—41no—
1600D8—41no—
1601M16—41no—
1602M16—41no—
1603M16—41no—
1604M16—41no—
1605C2×C8—41no—
1606C2×C8—41no—
1607C2×C8—41no—
1608C2×C8—41no—
1609C2×C8C24×C8911yescharacteristic
1610C2×C8C24×C8911yescharacteristic
1611C2×C8C24×C8911yescharacteristic
1612C2×C8C24×C8911yescharacteristic
1613C2×C8C24×C8911yescharacteristic
1614C2×C8C24×C8911yescharacteristic
1615C2×C8C24×C8911yescharacteristic
1616C2×C8C24×C8911yescharacteristic
1617C4⋊C4—21no—
1618C4⋊C4—21no—
1619C4⋊C4—21no—
1620C4⋊C4—21no—
1621C4⋊C4—21no—
1622C4⋊C4—21no—
1623C4⋊C4—21no—
1624C4⋊C4—21no—
1625C4⋊C4—21no—
1626C4⋊C4—21no—
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4C2×D4×C8911yescharacteristic
1633C4⋊C4C2×D4×C8911yescharacteristic
1634C4⋊C4C2×D4×C8911yescharacteristic
1635C4⋊C4C2×D4×C8911yescharacteristic
1636C4⋊C4C2×D4×C8911yescharacteristic
1637C4⋊C4C2×D4×C8911yescharacteristic
1638C4⋊C4C24×C8911yescharacteristic
1639C4⋊C4C24×C8911yescharacteristic
1640C4⋊C4C24×C8911yescharacteristic
1641C4⋊C4C24×C8911yescharacteristic
1642C4⋊C4C24×C8911yescharacteristic
1643C4⋊C4C24×C8911yescharacteristic
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—21no—
1648C22⋊C4—21no—
1649C22⋊C4—21no—
1650C22⋊C4—21no—
1651C22⋊C4—21no—
1652C22⋊C4—21no—
1653C22⋊C4—21no—
1654C22⋊C4—21no—
1655C22⋊C4—21no—
1656C22⋊C4—21no—
1657C22⋊C4—21no—
1658C22⋊C4—21no—
1659C22⋊C4—21no—
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—21no—
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—21no—
1675C22⋊C4—21no—
1676C22⋊C4C2×D4×C8911yescharacteristic
1677C22⋊C4C2×D4×C8911yescharacteristic
1678C22⋊C4C2×D4×C8911yescharacteristic
1679C22⋊C4C2×D4×C8911yescharacteristic
1680C22⋊C4C2×D4×C8911yescharacteristic
1681C22⋊C4C2×D4×C8911yescharacteristic
1682C22⋊C4C2×D4×C8911yescharacteristic
1683C22⋊C4C2×D4×C8911yescharacteristic
1684C22⋊C4C2×D4×C8911yescharacteristic
1685C22⋊C4C2×D4×C8911yescharacteristic
1686C42—21no—
1687C42—21no—
1688C42—21no—
1689C42—21no—
1690C42—21no—
1691C42—21no—
1692C42—21no—
1693C42—21no—
1694C42C24×C8911yescharacteristic
1695C42C24×C8911yescharacteristic
1696C23—21no—
1697C23—21no—
1698C23—21no—
1699C23—21no—
1700C23—21no—
1701C23—21no—
1702C23—41no—
1703C23—41no—
1704C23—41no—
1705C23—42no—
1706C23—42no—
1707C23—81no—
1708C23—81no—
1709C23—81no—
1710C23—81no—
1711C23—81no—
1712C23—81no—
1713C23—81no—
1714C23C22×D4×C8911yescharacteristic
1715C23C22×D4×C8911yescharacteristic
1716C23C22×D4×C8911yescharacteristic
1717C23C22×D4×C8911yescharacteristic
1718C23C22×D4×C8911yescharacteristic
1719Q8—24no—
1720Q8—21no—
1721Q8—21no—
1722Q8—21no—
1723Q8—21no—
1724Q8—21no—
1725Q8—21no—
1726Q8—41no—
1727Q8—42no—
1728Q8—42no—
1729Q8—81no—
1730Q8H(5,𝔽2)×C8912yes—
1731Q8H(5,𝔽2)×C8912yes—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—21no—
1737D4—21no—
1738D4—21no—
1739D4—21no—
1740D4—21no—
1741D4—21no—
1742D4—21no—
1743D4—21no—
1744D4—41no—
1745D4—41no—
1746D4—41no—
1747D4—41no—
1748D4—41no—
1749D4—41no—
1750D4—41no—
1751D4—42no—
1752D4—42no—
1753D4—42no—
1754D4—42no—
1755D4—42no—
1756D4—42no—
1757D4—42no—
1758D4—42no—
1759D4—42no—
1760D4—81no—
1761D4—81no—
1762D4—81no—
1763D4—81no—
1764D4—81no—
1765D4—81no—
1766D4—81no—
1767D4—81no—
1768D4—81no—
1769D4—81no—
1770D4—81no—
1771D4—81no—
1772D4—81no—
1773D4—81no—
1774D4—81no—
1775D4—81no—
1776D4—81no—
1777D4—81no—
1778D4—81no—
1779D4—81no—
1780D4—81no—
1781D4—81no—
1782D4—81no—
1783D4—81no—
1784C2×C4—24no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—21no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—21no—
1799C2×C4—21no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—41no—
1806C2×C4—41no—
1807C2×C4—41no—
1808C2×C4—42no—
1809C2×C4—42no—
1810C2×C4—42no—
1811C2×C4—42no—
1812C2×C4—42no—
1813C2×C4—42no—
1814C2×C4—42no—
1815C2×C4—42no—
1816C2×C4—42no—
1817C2×C4—42no—
1818C2×C4—81no—
1819C2×C4—81no—
1820C2×C4—81no—
1821C2×C4—81no—
1822C2×C4—81no—
1823C2×C4—81no—
1824C2×C4C22×D4×C8911yescharacteristic
1825C2×C4C22×D4×C8911yescharacteristic
1826C2×C4C22×D4×C8911yescharacteristic
1827C2×C4C22×D4×C8911yescharacteristic
1828C2×C4C22×D4×C8911yescharacteristic
1829C2×C4C22×D4×C8911yescharacteristic
1830C2×C4C22×D4×C8911yescharacteristic
1831C2×C4C22×D4×C8911yescharacteristic
1832C2×C4C22×D4×C8911yescharacteristic
1833C2×C4C25×C8911yescharacteristic
1834C8—21no—
1835C8—21no—
1836C8—21no—
1837C8—21no—
1838C8—21no—
1839C8—21no—
1840C8—21no—
1841C8—21no—
1842C22—21no—
1843C22—21no—
1844C22—21no—
1845C22—21no—
1846C22—21no—
1847C22—21no—
1848C22—21no—
1849C22—21no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—21no—
1857C22—41no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—41no—
1863C22—41no—
1864C22—41no—
1865C22—41no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—82no—
1876C22—84no—
1877C22—162no—
1878C22—162no—
1879C22C23×D4×C8911yescharacteristic
1880C4—21no—
1881C4—21no—
1882C4—21no—
1883C4—21no—
1884C4—22no—
1885C4—22no—
1886C4—21no—
1887C4—21no—
1888C4—21no—
1889C4—21no—
1890C4—21no—
1891C4—41no—
1892C4—41no—
1893C4—41no—
1894C4—41no—
1895C4—41no—
1896C4—41no—
1897C4—41no—
1898C4—41no—
1899C4C2×H(5,𝔽2)×C8911yescharacteristic
1900C4C2×H(5,𝔽2)×C8911yescharacteristic
1901C2—41no—
1902C2—41no—
1903C2—41no—
1904C2—41no—
1905C2—41no—
1906C2—81no—
1907C2—81no—
1908C2—81no—
1909C2—81no—
1910C2—81no—
1911C2—81no—
1912C2C89×#348411yescharacteristic
1913C2C89×#358411yescharacteristic
1914C2C89×#358511yescharacteristic
subgroupG/H
center, socleC22×C89C23×D4
commutator, Frattini, cosocleC2×C4C25×C89
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C89 ◁ #525×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#3542C2semidirect
2. C89×#3487C2semidirect
3. C89×#3332C2semidirect
4. C89×#3327C2semidirect
5. C89×#3321C2semidirect
6. C89×#3317C2semidirect
7. C89×#3309C2semidirect
8. C89×#3308C2semidirect
9. C89×#3305C2semidirect
10. C89×#3301C2semidirect
11. C89×#3287C2semidirect
12. C89×#3282C2semidirect
13. C89×#3275C2semidirect
14. C89×#3274C2semidirect
15. C89×#3271C2semidirect
16. C89×#3268C2semidirect
17. C89×#3268C2semidirect
18. C89×#3265C2semidirect
19. C89×#3224C2semidirect
20. C89×#3220C2semidirect
21. C89×#3199C2semidirect
22. C89×#3198C2semidirect
23. C89×#3197C2semidirect
24. C89×#3188C2semidirect
25. C89×#3126C2semidirect
26. C89×#3121C2semidirect
27. C89×#3013C2semidirect
28. C89×#3010C2semidirect
29. C89×#3006C2semidirect
30. C89×#3002C2semidirect
31. C89×#2976C2semidirect
32. C2×2−1+4×C89C22semidirect
33. C22×#41×C89C22semidirect
34. C2×#137×C89C22semidirect
37. C2×AGL(1,ℤ/8)×C89C22semidirect
38. C2×#135×C89C22semidirect
39. C2×#135×C89C22semidirect
40. C2×#135×C89C22semidirect
41. C22×SD16×C89C22semidirect
44. #555×C89C22semidirect
45. #553×C89C22semidirect
46. #552×C89C22semidirect
51. #550×C89C22semidirect
52. #550×C89C22semidirect
53. #550×C89C22semidirect
54. #550×C89C22semidirect
58. #548×C89C22semidirect
59. #548×C89C22semidirect
60. #548×C89C22semidirect
61. #547×C89C22semidirect
63. #546×C89C22semidirect
64. #546×C89C22semidirect
65. D42×C89C22semidirect
75. #535×C89C22semidirect
76. #535×C89C22semidirect
82. #525×C89C22semidirect
84. #519×C89C22semidirect
85. #496×C89C22semidirect
86. #496×C89C22semidirect
87. #495×C89C22semidirect
88. #493×C89C22semidirect
89. #490×C89C22semidirect
90. #489×C89C22semidirect
91. #488×C89C22semidirect
92. #486×C89C22semidirect
93. #485×C89C22semidirect
94. #485×C89C22semidirect
95. #484×C89C22semidirect
97. #482×C89C22semidirect
98. #482×C89C22semidirect
99. #482×C89C22semidirect
100. #482×C89C22semidirect
101. #482×C89C22semidirect
102. #481×C89C22semidirect
103. #481×C89C22semidirect
104. #480×C89C22semidirect
105. #479×C89C22semidirect
106. #479×C89C22semidirect
107. #477×C89C22semidirect
108. #475×C89C22semidirect
109. #470×C89C22semidirect
110. #469×C89C22semidirect
111. #469×C89C22semidirect
112. #469×C89C22semidirect
113. #469×C89C22semidirect
114. #468×C89C22semidirect
115. #468×C89C22semidirect
116. #468×C89C22semidirect
117. #466×C89C22semidirect
118. #466×C89C22semidirect
119. #466×C89C22semidirect
120. #466×C89C22semidirect
121. #466×C89C22semidirect
122. #465×C89C22semidirect
123. #465×C89C22semidirect
124. #465×C89C22semidirect
125. #464×C89C22semidirect
126. #464×C89C22semidirect
127. #464×C89C22semidirect
128. #463×C89C22semidirect
129. #463×C89C22semidirect
130. #463×C89C22semidirect
131. #460×C89C22semidirect
132. #460×C89C22semidirect
133. #460×C89C22semidirect
134. #459×C89C22semidirect
135. #459×C89C22semidirect
136. #459×C89C22semidirect
137. #452×C89C22semidirect
138. #452×C89C22semidirect
139. #452×C89C22semidirect
140. #452×C89C22semidirect
141. #452×C89C22semidirect
142. #451×C89C22semidirect
143. #451×C89C22semidirect
144. #450×C89C22semidirect
145. #450×C89C22semidirect
151. #449×C89C22semidirect
152. #449×C89C22semidirect
153. #449×C89C22semidirect
154. #449×C89C22semidirect
155. #449×C89C22semidirect
156. #449×C89C22semidirect
157. #449×C89C22semidirect
158. #449×C89C22semidirect
159. #449×C89C22semidirect
160. #449×C89C22semidirect
162. #448×C89C22semidirect
163. #448×C89C22semidirect
164. #448×C89C22semidirect
165. #448×C89C22semidirect
166. #448×C89C22semidirect
168. #447×C89C22semidirect
169. #447×C89C22semidirect
170. #447×C89C22semidirect
171. #447×C89C22semidirect
172. #447×C89C22semidirect
173. #441×C89C22semidirect
174. #440×C89C22semidirect
175. #440×C89C22semidirect
176. #440×C89C22semidirect
177. C4×Q16×C89C22semidirect
178. C4×SD16×C89C22semidirect
179. C4×SD16×C89C22semidirect
180. C4×SD16×C89C22semidirect
181. #436×C89C22semidirect
182. #436×C89C22semidirect
183. #435×C89C22semidirect
184. #435×C89C22semidirect
185. #435×C89C22semidirect
186. #435×C89C22semidirect
187. C8×D4×C89C22semidirect
188. C8×D4×C89C22semidirect
189. #433×C89C22semidirect
190. #433×C89C22semidirect
191. #419×C89C22semidirect
192. #417×C89C22semidirect
193. #417×C89C22semidirect
194. #417×C89C22semidirect
195. #416×C89C22semidirect
196. #416×C89C22semidirect
197. #416×C89C22semidirect
198. C2×#103×C89C22semidirect
199. #408×C89C22semidirect
200. #408×C89C22semidirect
201. #407×C89C22semidirect
202. C2×C22⋊C8×C89C22semidirect
943. #61616C89direct (N × H)
958. #3542C2×C89semidirect
959. #3487C2×C89semidirect
960. #3332C2×C89semidirect
961. #3327C2×C89semidirect
962. #3321C2×C89semidirect
963. #3317C2×C89semidirect
964. #3309C2×C89semidirect
965. #3308C2×C89semidirect
966. #3305C2×C89semidirect
967. #3301C2×C89semidirect
968. #3287C2×C89semidirect
969. #3282C2×C89semidirect
970. #3275C2×C89semidirect
971. #3274C2×C89semidirect
972. #3271C2×C89semidirect
973. #3268C2×C89semidirect
974. #3268C2×C89semidirect
975. #3265C2×C89semidirect
976. #3224C2×C89semidirect
977. #3220C2×C89semidirect
978. #3199C2×C89semidirect
979. #3198C2×C89semidirect
980. #3197C2×C89semidirect
981. #3188C2×C89semidirect
982. #3126C2×C89semidirect
983. #3121C2×C89semidirect
984. #3013C2×C89semidirect
985. #3010C2×C89semidirect
986. #3006C2×C89semidirect
987. #3002C2×C89semidirect
988. #2976C2×C89semidirect
989. C89#61616direct (N × H)
990. C2×2−1+4C22×C89semidirect
991. C22×#41C22×C89semidirect
992. C2×#137C22×C89semidirect
995. C2×AGL(1,ℤ/8)C22×C89semidirect
996. C2×#135C22×C89semidirect
997. C2×#135C22×C89semidirect
998. C2×#135C22×C89semidirect
999. C22×SD16C22×C89semidirect
1002. #555C22×C89semidirect
1003. #553C22×C89semidirect
1004. #552C22×C89semidirect
1009. #550C22×C89semidirect
1010. #550C22×C89semidirect
1011. #550C22×C89semidirect
1012. #550C22×C89semidirect
1016. #548C22×C89semidirect
1017. #548C22×C89semidirect
1018. #548C22×C89semidirect
1019. #547C22×C89semidirect
1021. #546C22×C89semidirect
1022. #546C22×C89semidirect
1023. D42C22×C89semidirect
1033. #535C22×C89semidirect
1034. #535C22×C89semidirect
1040. #525C22×C89semidirect
1042. #519C22×C89semidirect
1043. #496C22×C89semidirect
1044. #496C22×C89semidirect
1045. #495C22×C89semidirect
1046. #493C22×C89semidirect
1047. #490C22×C89semidirect
1048. #489C22×C89semidirect
1049. #488C22×C89semidirect
1050. #486C22×C89semidirect
1051. #485C22×C89semidirect
1052. #485C22×C89semidirect
1053. #484C22×C89semidirect
1055. #482C22×C89semidirect
1056. #482C22×C89semidirect
1057. #482C22×C89semidirect
1058. #482C22×C89semidirect
1059. #482C22×C89semidirect
1060. #481C22×C89semidirect
1061. #481C22×C89semidirect
1062. #480C22×C89semidirect
1063. #479C22×C89semidirect
1064. #479C22×C89semidirect
1065. #477C22×C89semidirect
1066. #475C22×C89semidirect
1067. #470C22×C89semidirect
1068. #469C22×C89semidirect
1069. #469C22×C89semidirect
1070. #469C22×C89semidirect
1071. #469C22×C89semidirect
1072. #468C22×C89semidirect
1073. #468C22×C89semidirect
1074. #468C22×C89semidirect
1075. #466C22×C89semidirect
1076. #466C22×C89semidirect
1077. #466C22×C89semidirect
1078. #466C22×C89semidirect
1079. #466C22×C89semidirect
1080. #465C22×C89semidirect
1081. #465C22×C89semidirect
1082. #465C22×C89semidirect
1083. #464C22×C89semidirect
1084. #464C22×C89semidirect
1085. #464C22×C89semidirect
1086. #463C22×C89semidirect
1087. #463C22×C89semidirect
1088. #463C22×C89semidirect
1089. #460C22×C89semidirect
1090. #460C22×C89semidirect
1091. #460C22×C89semidirect
1092. #459C22×C89semidirect
1093. #459C22×C89semidirect
1094. #459C22×C89semidirect
1095. #452C22×C89semidirect
1096. #452C22×C89semidirect
1097. #452C22×C89semidirect
1098. #452C22×C89semidirect
1099. #452C22×C89semidirect
1100. #451C22×C89semidirect
1101. #451C22×C89semidirect
1102. #450C22×C89semidirect
1103. #450C22×C89semidirect
1109. #449C22×C89semidirect
1110. #449C22×C89semidirect
1111. #449C22×C89semidirect
1112. #449C22×C89semidirect
1113. #449C22×C89semidirect
1114. #449C22×C89semidirect
1115. #449C22×C89semidirect
1116. #449C22×C89semidirect
1117. #449C22×C89semidirect
1118. #449C22×C89semidirect
1120. #448C22×C89semidirect
1121. #448C22×C89semidirect
1122. #448C22×C89semidirect
1123. #448C22×C89semidirect
1124. #448C22×C89semidirect
1126. #447C22×C89semidirect
1127. #447C22×C89semidirect
1128. #447C22×C89semidirect
1129. #447C22×C89semidirect
1130. #447C22×C89semidirect
1131. #441C22×C89semidirect
1132. #440C22×C89semidirect
1133. #440C22×C89semidirect
1134. #440C22×C89semidirect
1135. C4×Q16C22×C89semidirect
1136. C4×SD16C22×C89semidirect
1137. C4×SD16C22×C89semidirect
1138. C4×SD16C22×C89semidirect
1139. #436C22×C89semidirect
1140. #436C22×C89semidirect
1141. #435C22×C89semidirect
1142. #435C22×C89semidirect
1143. #435C22×C89semidirect
1144. #435C22×C89semidirect
1145. C8×D4C22×C89semidirect
1146. C8×D4C22×C89semidirect
1147. #433C22×C89semidirect
1148. #433C22×C89semidirect
1149. #419C22×C89semidirect
1150. #417C22×C89semidirect
1151. #417C22×C89semidirect
1152. #417C22×C89semidirect
1153. #416C22×C89semidirect
1154. #416C22×C89semidirect
1155. #416C22×C89semidirect
1156. C2×#103C22×C89semidirect
1157. #408C22×C89semidirect
1158. #408C22×C89semidirect
1159. #407C22×C89semidirect
1160. C2×C22⋊C8C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35422
C89×#34872
C89×#33322
C89×#33272
C89×#33212
C89×#33172
C89×#33092
C89×#33082
C89×#33052
C89×#33012
C89×#32872
C89×#32822
C89×#32752
C89×#32742
C89×#32712
C89×#32682
C89×#32652
C89×#32242
C89×#32202
C89×#31992
C89×#31982
C89×#31972
C89×#31882
C89×#31262
C89×#31212
C89×#30132
C89×#30102
C89×#30062
C89×#30022
C89×#29762
#6161689