Finite Group Databasebeta

← C89×#61642 #36439490

Subgroups — C89×#61642 #36439490

Order 22784.

2042 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#3541C211yesmaximal, characteristic, complemented
2C89×#3489C211yesmaximal, characteristic, complemented
3C89×#3320C211yesmaximal, characteristic, complemented
4C89×#3315C211yesmaximal, characteristic, complemented
5C89×#3314C211yesmaximal, characteristic, complemented
6C89×#3313C211yesmaximal, characteristic, complemented
7C89×#3302C211yesmaximal, characteristic, complemented
8C89×#3300C211yesmaximal, characteristic, complemented
9C89×#3299C211yesmaximal, characteristic, complemented
10C89×#3297C211yesmaximal, characteristic, complemented
11D4×Q16×C89C211yesmaximal, characteristic, complemented
12C89×#3285C211yesmaximal, characteristic, complemented
13C89×#3283C211yesmaximal, characteristic, complemented
14C89×#3282C211yesmaximal, characteristic, complemented
15C89×#3270C211yesmaximal, characteristic, complemented
16C89×#3269C211yesmaximal, characteristic, complemented
17C89×#3269C211yesmaximal, characteristic, complemented
18C89×#3266C211yesmaximal, characteristic, complemented
19C89×#3225C211yesmaximal, characteristic, complemented
20C89×#3223C211yesmaximal, characteristic, complemented
21C89×#3203C211yesmaximal, characteristic, complemented
22C89×#3201C211yesmaximal, characteristic, complemented
23C89×#3190C211yesmaximal, characteristic, complemented
24C89×#3189C211yesmaximal, characteristic, complemented
25C89×#3124C211yesmaximal, characteristic, complemented
26C89×#3120C211yesmaximal, characteristic, complemented
27C89×#3013C211yesmaximal, characteristic, complemented
28C89×#3011C211yesmaximal, characteristic, complemented
29C89×#3002C211yesmaximal, characteristic, complemented
30C2×#452×C89C211yesmaximal, characteristic, complemented
31C89×#2977C211yesmaximal, characteristic, complemented
32C2×2−1+4×C89C2211yescharacteristic
33C22×#41×C89C2211yescharacteristic
34C2×#137×C89C2211yescharacteristic, complemented
35C2×#137×C89C2211yescharacteristic, complemented
36C2×#135×C89C2211yescharacteristic
37C2×#135×C89C2211yescharacteristic
38C2×#135×C89C2211yescharacteristic, complemented
39C22×Q16×C89C2211yescharacteristic
40C22×Q16×C89C2211yescharacteristic, complemented
41C22×SD16×C89C2211yescharacteristic
42#563×C89—21no—
43#562×C89—21no—
44#556×C89C2211yescharacteristic, complemented
45#554×C89—21no—
46#554×C89C2211yescharacteristic
47#553×C89—21no—
48#553×C89C2211yescharacteristic
49#552×C89C2211yescharacteristic, complemented
50D4×Q8×C89C2211yescharacteristic
51D4×Q8×C89C2211yescharacteristic
52D4×Q8×C89C2211yescharacteristic
53#548×C89C2211yescharacteristic
54#548×C89C2211yescharacteristic
55#548×C89C2211yescharacteristic
56#548×C89C2211yescharacteristic, complemented
57#547×C89—21no—
58#547×C89—21no—
59#547×C89C2211yescharacteristic
60#547×C89C2211yescharacteristic
61#547×C89C2211yescharacteristic, complemented
62#546×C89—21no—
63#546×C89—21no—
64#546×C89C2211yescharacteristic
65#546×C89C2211yescharacteristic
66#542×C89—21no—
67#542×C89C2211yescharacteristic, complemented
68#541×C89C2211yescharacteristic, complemented
69#539×C89—21no—
70#538×C89—21no—
71#538×C89—21no—
72#537×C89—21no—
73#537×C89C2211yescharacteristic
74#537×C89C2211yescharacteristic, complemented
75#536×C89—21no—
76#536×C89C2211yescharacteristic
77#536×C89C2211yescharacteristic, complemented
78#525×C89—21no—
79#525×C89C2211yescharacteristic
80#525×C89C2211yescharacteristic
81C2×C22⋊Q8×C89—21no—
82C2×C22⋊Q8×C89C2211yescharacteristic
83C2×C22⋊Q8×C89C2211yescharacteristic
84#520×C89C2211yescharacteristic
85#497×C89C2211yescharacteristic, complemented
86#497×C89C2211yescharacteristic, complemented
87#495×C89C2211yescharacteristic, complemented
88#494×C89C2211yescharacteristic, complemented
89#491×C89C2211yescharacteristic, complemented
90#489×C89C2211yescharacteristic, complemented
91#488×C89C2211yescharacteristic, complemented
92#487×C89C2211yescharacteristic, complemented
93#485×C89C2211yescharacteristic, complemented
94#485×C89C2211yescharacteristic, complemented
95#485×C89C2211yescharacteristic, complemented
96#484×C89C2211yescharacteristic
97#484×C89C2211yescharacteristic
98#484×C89C2211yescharacteristic, complemented
99#484×C89C2211yescharacteristic, complemented
100#484×C89C2211yescharacteristic, complemented
101#483×C89C2211yescharacteristic, complemented
102#482×C89C2211yescharacteristic, complemented
103#480×C89C2211yescharacteristic, complemented
104#480×C89C2211yescharacteristic, complemented
105#479×C89C2211yescharacteristic, complemented
106#478×C89C2211yescharacteristic, complemented
107#477×C89C2211yescharacteristic, complemented
108#474×C89C2211yescharacteristic, complemented
109#470×C89C2211yescharacteristic, complemented
110#468×C89C2211yescharacteristic, complemented
111#468×C89C2211yescharacteristic, complemented
112#468×C89C2211yescharacteristic, complemented
113#467×C89C2211yescharacteristic
114#467×C89C2211yescharacteristic
115#467×C89C2211yescharacteristic, complemented
116#467×C89C2211yescharacteristic, complemented
117#467×C89C2211yescharacteristic, complemented
118#467×C89C2211yescharacteristic, complemented
119#467×C89C2211yescharacteristic, complemented
120#467×C89C2211yescharacteristic, complemented
121#466×C89C2211yescharacteristic, complemented
122#465×C89C2211yescharacteristic
123#465×C89C2211yescharacteristic
124#465×C89C2211yescharacteristic, complemented
125#464×C89C2211yescharacteristic, complemented
126#464×C89C2211yescharacteristic, complemented
127#464×C89C2211yescharacteristic, complemented
128#464×C89C2211yescharacteristic, complemented
129#463×C89C2211yescharacteristic, complemented
130#463×C89C2211yescharacteristic, complemented
131#462×C89C2211yescharacteristic, complemented
132#462×C89C2211yescharacteristic, complemented
133#462×C89C2211yescharacteristic, complemented
134#462×C89C2211yescharacteristic, complemented
135#461×C89C2211yescharacteristic, complemented
136#461×C89C2211yescharacteristic, complemented
137#452×C89C2211yescharacteristic
138#452×C89C2211yescharacteristic
139#452×C89C2211yescharacteristic
140#452×C89C2211yescharacteristic
141#452×C89C2211yescharacteristic
142#452×C89C2211yescharacteristic
143#452×C89C2211yescharacteristic
144#452×C89C2211yescharacteristic
145#452×C89C2211yescharacteristic
146#452×C89C2211yescharacteristic
147#452×C89C2211yescharacteristic, complemented
148#452×C89C2211yescharacteristic, complemented
149#452×C89C2211yescharacteristic, complemented
150#452×C89C2211yescharacteristic, complemented
151#452×C89C2211yescharacteristic, complemented
152#452×C89C2211yescharacteristic, complemented
153#451×C89C2211yescharacteristic
154#451×C89C2211yescharacteristic
155#451×C89C2211yescharacteristic
156#451×C89C2211yescharacteristic, complemented
157#451×C89C2211yescharacteristic, complemented
158#451×C89C2211yescharacteristic, complemented
159#451×C89C2211yescharacteristic, complemented
160#451×C89C2211yescharacteristic, complemented
161#451×C89C2211yescharacteristic, complemented
162#451×C89C2211yescharacteristic, complemented
163#450×C89C2211yescharacteristic
164#449×C89C2211yescharacteristic
165#449×C89C2211yescharacteristic
166#449×C89C2211yescharacteristic, complemented
167#449×C89C2211yescharacteristic, complemented
168#448×C89C2211yescharacteristic
169#448×C89C2211yescharacteristic, complemented
170#448×C89C2211yescharacteristic, complemented
171#448×C89C2211yescharacteristic, complemented
172#447×C89C2211yescharacteristic
173#441×C89C2211yescharacteristic, complemented
174#440×C89C2211yescharacteristic, complemented
175#440×C89C2211yescharacteristic, complemented
176#440×C89C2211yescharacteristic, complemented
177C4×Q16×C89C2211yescharacteristic, complemented
178C4×Q16×C89C2211yescharacteristic, complemented
179C4×SD16×C89C2211yescharacteristic, complemented
180C4×D8×C89C2211yescharacteristic, complemented
181#435×C89C2211yescharacteristic
182#435×C89C2211yescharacteristic
183#435×C89C2211yescharacteristic, complemented
184#435×C89C2211yescharacteristic, complemented
185C8×D4×C89C2211yescharacteristic
186C8×D4×C89C2211yescharacteristic
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#416×C89C2211yescharacteristic
194#416×C89C2211yescharacteristic
195#416×C89C2211yescharacteristic, complemented
196C2×#103×C89C2211yescharacteristic
197C2×#103×C89C2211yescharacteristic, complemented
198C2×#102×C89C2211yescharacteristic
199#408×C89C2211yescharacteristic, complemented
200#408×C89C2211yescharacteristic, complemented
201C2×C22⋊C8×C89C2211yescharacteristic
202C2×C22⋊C8×C89C2211yescharacteristic
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—42no—
211C2×#41×C89—42no—
212C2×#41×C89C2311yescharacteristic
213C2×#41×C89C2311yescharacteristic
214C2×#41×C89C2311yescharacteristic
215C2×#41×C89C2311yescharacteristic
216C2×#41×C89C2311yescharacteristic
217C2×#41×C89C2311yescharacteristic
218C2×#41×C89C2311yescharacteristic
219C2×#41×C89C2311yescharacteristic
220C2×#41×C89C2311yescharacteristic
221C22×Q8×C89—21no—
222C22×Q8×C89C2311yescharacteristic
223C22×Q8×C89C2311yescharacteristic
224C22×Q8×C89C2311yescharacteristic
225C22×Q8×C89C2311yescharacteristic
226C22×Q8×C89C2311yescharacteristic
227C22×Q8×C89C2311yescharacteristic
228C22×D4×C89—21no—
229C22×D4×C89C2311yescharacteristic
230C23×C4×C89—21no—
231C23×C4×C89C2311yescharacteristic
232#137×C89—42no—
233#137×C89—42no—
234#135×C89—42no—
235#135×C89—42no—
236#135×C89—42no—
237C2×Q16×C89—42no—
238C2×Q16×C89—42no—
239C2×Q16×C89C2311yescharacteristic
240C2×Q16×C89C2311yescharacteristic
241C2×Q16×C89C2311yescharacteristic
242C2×Q16×C89C2311yescharacteristic
243C2×Q16×C89C2311yescharacteristic
244C2×Q16×C89C2311yescharacteristic
245C2×Q16×C89C2311yescharacteristic
246C2×Q16×C89C2311yescharacteristic
247C2×Q16×C89C2311yescharacteristic
248C2×Q16×C89C2311yescharacteristic
249C2×Q16×C89C2311yescharacteristic
250C2×Q16×C89C2311yescharacteristic
251C2×SD16×C89—42no—
252C2×SD16×C89C2311yescharacteristic
253C2×SD16×C89C2311yescharacteristic
254C2×SD16×C89C2311yescharacteristic
255C2×SD16×C89C2311yescharacteristic
256C2×SD16×C89C2311yescharacteristic
257C2×SD16×C89C2311yescharacteristic
258C2×SD16×C89C2311yescharacteristic
259C2×SD16×C89C2311yescharacteristic
260C2×SD16×C89C2311yescharacteristic
261C2×SD16×C89C2311yescharacteristic
262C2×D8×C89C2311yescharacteristic
263C2×D8×C89C2311yescharacteristic
264C2×M16×C89C2311yescharacteristic
265C2×M16×C89C2311yescharacteristic
266C22×C8×C89C2311yescharacteristic
267C22×C8×C89C2311yescharacteristic
268C22×C8×C89C2311yescharacteristic
269C22×C8×C89C2311yescharacteristic
270C22×C8×C89C2311yescharacteristic
271C22×C8×C89C2311yescharacteristic
272C4⋊Q8×C89—21no—
273C4⋊Q8×C89—21no—
274C4⋊Q8×C89—21no—
275C4⋊Q8×C89—21no—
276C4⋊Q8×C89C2311yescharacteristic
277C4⋊Q8×C89C2311yescharacteristic
278C4⋊Q8×C89C2311yescharacteristic
279C4⋊Q8×C89C2311yescharacteristic
280#126×C89—21no—
281#126×C89—21no—
282#126×C89—21no—
283#126×C89—21no—
284#126×C89—21no—
285#126×C89—21no—
286#126×C89—21no—
287#125×C89—21no—
288#125×C89—21no—
289#125×C89—21no—
290#125×C89—21no—
291#125×C89C2311yescharacteristic
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×C89C2311yescharacteristic
300#124×C89C2311yescharacteristic
301#124×C89C2311yescharacteristic
302#123×C89—21no—
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×C89—21no—
315#123×C89—21no—
316#123×C89—21no—
317#123×C89—21no—
318#123×C89D411yescharacteristic
319#123×C89D411yescharacteristic
320C22⋊Q8×C89—21no—
321C22⋊Q8×C89—21no—
322C22⋊Q8×C89—21no—
323C22⋊Q8×C89—21no—
324C22⋊Q8×C89—21no—
325C22⋊Q8×C89—21no—
326C22⋊Q8×C89—21no—
327C22⋊Q8×C89—21no—
328C22⋊Q8×C89—21no—
329C22⋊Q8×C89—21no—
330C22⋊Q8×C89—21no—
331C22⋊Q8×C89—21no—
332C22⋊Q8×C89—21no—
333C22⋊Q8×C89—21no—
334C22⋊Q8×C89—21no—
335C22⋊Q8×C89—21no—
336C22⋊Q8×C89—21no—
337C22⋊Q8×C89—21no—
338C22⋊Q8×C89—21no—
339C22⋊Q8×C89—21no—
340C22⋊Q8×C89—21no—
341C22⋊Q8×C89D411yescharacteristic
342C22⋊Q8×C89D411yescharacteristic
343C22⋊Q8×C89C2311yescharacteristic
344C22⋊Q8×C89C2311yescharacteristic
345C22⋊Q8×C89C2311yescharacteristic
346C22⋊Q8×C89C2311yescharacteristic
347C22⋊Q8×C89C2311yescharacteristic
348C22⋊Q8×C89C2311yescharacteristic
349C22⋊Q8×C89C2311yescharacteristic
350C22⋊Q8×C89C2311yescharacteristic
351C22⋊Q8×C89C2311yescharacteristic
352C22⋊Q8×C89C2311yescharacteristic
353C22⋊Q8×C89C2311yescharacteristic
354C22⋊Q8×C89C2311yescharacteristic
355C22⋊Q8×C89C2311yescharacteristic
356C22⋊Q8×C89C2311yescharacteristic
357C22⋊Q8×C89C2311yescharacteristic
358#121×C89—21no—
359#121×C89—21no—
360#121×C89—21no—
361#121×C89—21no—
362#121×C89—21no—
363#121×C89—21no—
364#121×C89—21no—
365#121×C89—21no—
366#121×C89—21no—
367#121×C89—21no—
368#121×C89—21no—
369#121×C89—21no—
370#121×C89—21no—
371#121×C89—21no—
372#121×C89—21no—
373#121×C89—21no—
374#121×C89D411yescharacteristic
375#121×C89D411yescharacteristic
376#121×C89C2311yescharacteristic
377#121×C89C2311yescharacteristic
378#121×C89C2311yescharacteristic
379#121×C89C2311yescharacteristic
380#121×C89C2311yescharacteristic
381#120×C89—21no—
382#120×C89—21no—
383#120×C89—21no—
384#120×C89D411yescharacteristic
385#120×C89D411yescharacteristic
386C4×Q8×C89—21no—
387C4×Q8×C89C2311yescharacteristic
388C4×Q8×C89C2311yescharacteristic
389C4×Q8×C89C2311yescharacteristic
390C4×Q8×C89C2311yescharacteristic
391C4×Q8×C89C2311yescharacteristic
392C4×D4×C89—21no—
393C4×D4×C89—21no—
394C4×D4×C89—21no—
395C4×D4×C89—21no—
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×C89C2311yescharacteristic
406C4×D4×C89C2311yescharacteristic
407C4×D4×C89C2311yescharacteristic
408C4×D4×C89C2311yescharacteristic
409C4×D4×C89C2311yescharacteristic
410C4×D4×C89C2311yescharacteristic
411C4×D4×C89C2311yescharacteristic
412#117×C89—21no—
413#117×C89—21no—
414#117×C89C2311yescharacteristic
415#117×C89C2311yescharacteristic
416#117×C89C2311yescharacteristic
417C2×C4⋊C4×C89—21no—
418C2×C4⋊C4×C89—21no—
419C2×C4⋊C4×C89—21no—
420C2×C4⋊C4×C89—21no—
421C2×C4⋊C4×C89—21no—
422C2×C4⋊C4×C89—21no—
423C2×C4⋊C4×C89C2311yescharacteristic
424C2×C4⋊C4×C89C2311yescharacteristic
425C2×C4⋊C4×C89C2311yescharacteristic
426C2×C22⋊C4×C89—21no—
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#107×C89C2311yescharacteristic
435#107×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#103×C89C2311yescharacteristic
457#103×C89C2311yescharacteristic
458#103×C89C2311yescharacteristic
459#103×C89C2311yescharacteristic
460#103×C89C2311yescharacteristic
461#103×C89C2311yescharacteristic
462#103×C89C2311yescharacteristic
463#103×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×C89C2×D411yescharacteristic
492#41×C89—22no—
493#41×C89—22no—
494#41×C89—22no—
495#41×C89—22no—
496#41×C89—22no—
497#41×C89—22no—
498#41×C89—41no—
499#41×C89—41no—
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—44no—
507#41×C89—44no—
508#41×C89—41no—
509#41×C89—41no—
510#41×C89—41no—
511#41×C89—41no—
512#41×C89—44no—
513#41×C89—44no—
514#41×C89—44no—
515C2×Q8×C89—21no—
516C2×Q8×C89—21no—
517C2×Q8×C89—21no—
518C2×Q8×C89—21no—
519C2×Q8×C89—21no—
520C2×Q8×C89—21no—
521C2×Q8×C89—21no—
522C2×Q8×C89—22no—
523C2×Q8×C89—22no—
524C2×Q8×C89—22no—
525C2×Q8×C89—41no—
526C2×Q8×C89—41no—
527C2×Q8×C89—41no—
528C2×Q8×C89—41no—
529C2×Q8×C89—41no—
530C2×Q8×C89—44no—
531C2×Q8×C89—41no—
532C2×Q8×C89—41no—
533C2×Q8×C89—41no—
534C2×Q8×C89—41no—
535C2×Q8×C89C2×D411yescharacteristic
536C2×Q8×C89C2411yescharacteristic
537C2×Q8×C89C2411yescharacteristic
538C2×Q8×C89C2411yescharacteristic
539C2×Q8×C89C2411yescharacteristic
540C2×Q8×C89C2411yescharacteristic
541C2×Q8×C89C2411yescharacteristic
542C2×Q8×C89C2411yescharacteristic
543C2×D4×C89—21no—
544C2×D4×C89—22no—
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—41no—
559C2×D4×C89—44no—
560C2×D4×C89C2×D411yescharacteristic
561C2×D4×C89C2×D411yescharacteristic
562C2×D4×C89C2×D411yescharacteristic
563C2×D4×C89C2×D411yescharacteristic
564C2×D4×C89C2×D411yescharacteristic
565C2×D4×C89C2×D411yescharacteristic
566C2×D4×C89C2×D411yescharacteristic
567C2×D4×C89C2411yescharacteristic
568C2×D4×C89C2411yescharacteristic
569C2×D4×C89C2411yescharacteristic
570C22×C4×C89—21no—
571C22×C4×C89—21no—
572C22×C4×C89—21no—
573C22×C4×C89—21no—
574C22×C4×C89—21no—
575C22×C4×C89—21no—
576C22×C4×C89—21no—
577C22×C4×C89—21no—
578C22×C4×C89—21no—
579C22×C4×C89—21no—
580C22×C4×C89—21no—
581C22×C4×C89—21no—
582C22×C4×C89—21no—
583C22×C4×C89—21no—
584C22×C4×C89—21no—
585C22×C4×C89—21no—
586C22×C4×C89—21no—
587C22×C4×C89—21no—
588C22×C4×C89—21no—
589C22×C4×C89—21no—
590C22×C4×C89—41no—
591C22×C4×C89—41no—
592C22×C4×C89—44no—
593C22×C4×C89C2×D411yescharacteristic
594C22×C4×C89C2×D411yescharacteristic
595C22×C4×C89C2×D411yescharacteristic
596C22×C4×C89C2411yescharacteristic
597C22×C4×C89C2411yescharacteristic
598C22×C4×C89C2411yescharacteristic
599C22×C4×C89C2411yescharacteristic
600C22×C4×C89C2411yescharacteristic
601Q16×C89—22no—
602Q16×C89—22no—
603Q16×C89—22no—
604Q16×C89—41no—
605Q16×C89—41no—
606Q16×C89—41no—
607Q16×C89—41no—
608Q16×C89—41no—
609Q16×C89—41no—
610Q16×C89—41no—
611Q16×C89—41no—
612Q16×C89—41no—
613SD16×C89—22no—
614SD16×C89—22no—
615SD16×C89—22no—
616SD16×C89—22no—
617SD16×C89—41no—
618SD16×C89—41no—
619SD16×C89—41no—
620SD16×C89—41no—
621SD16×C89—41no—
622SD16×C89—41no—
623D8×C89—22no—
624D8×C89—41no—
625M16×C89—41no—
626M16×C89—41no—
627C2×C8×C89—41no—
628C2×C8×C89—41no—
629C2×C8×C89—41no—
630C2×C8×C89—41no—
631C2×C8×C89—41no—
632C2×C8×C89—41no—
633C2×C8×C89C2411yescharacteristic
634C2×C8×C89C2411yescharacteristic
635C2×C8×C89C2411yescharacteristic
636C2×C8×C89C2411yescharacteristic
637C2×C8×C89C2411yescharacteristic
638C2×C8×C89C2411yescharacteristic
639C2×C8×C89C2411yescharacteristic
640C2×C8×C89C2411yescharacteristic
641C4⋊C4×C89—21no—
642C4⋊C4×C89—21no—
643C4⋊C4×C89—21no—
644C4⋊C4×C89—21no—
645C4⋊C4×C89—21no—
646C4⋊C4×C89—21no—
647C4⋊C4×C89—21no—
648C4⋊C4×C89—21no—
649C4⋊C4×C89—21no—
650C4⋊C4×C89—21no—
651C4⋊C4×C89—21no—
652C4⋊C4×C89—21no—
653C4⋊C4×C89—21no—
654C4⋊C4×C89—21no—
655C4⋊C4×C89—21no—
656C4⋊C4×C89—21no—
657C4⋊C4×C89—21no—
658C4⋊C4×C89—21no—
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×C89C2×D411yescharacteristic
674C4⋊C4×C89C2×D411yescharacteristic
675C4⋊C4×C89C2×D411yescharacteristic
676C4⋊C4×C89C2×D411yescharacteristic
677C4⋊C4×C89C2×D411yescharacteristic
678C4⋊C4×C89C2×D411yescharacteristic
679C4⋊C4×C89C2411yescharacteristic
680C4⋊C4×C89C2411yescharacteristic
681C4⋊C4×C89C2411yescharacteristic
682C4⋊C4×C89C2411yescharacteristic
683C4⋊C4×C89C2411yescharacteristic
684C4⋊C4×C89C2411yescharacteristic
685C22⋊C4×C89—21no—
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×C89C2×D411yescharacteristic
717C22⋊C4×C89C2×D411yescharacteristic
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
726C42×C89—21no—
727C42×C89—21no—
728C42×C89—21no—
729C42×C89—21no—
730C42×C89—21no—
731C42×C89—21no—
732C42×C89—21no—
733C42×C89C2411yescharacteristic
734C42×C89C2411yescharacteristic
735C23×C89—21no—
736C23×C89—22no—
737C23×C89—21no—
738C23×C89—21no—
739C23×C89—41no—
740C23×C89—41no—
741C23×C89—42no—
742C23×C89—42no—
743C23×C89—81no—
744C23×C89C22×D411yescharacteristic
745C23×C89C22×D411yescharacteristic
746C23×C89C22×D411yescharacteristic
747C23×C89C22×D411yescharacteristic
748C23×C89C22×D411yescharacteristic
749Q8×C89—21no—
750Q8×C89—21no—
751Q8×C89—21no—
752Q8×C89—21no—
753Q8×C89—21no—
754Q8×C89—21no—
755Q8×C89—21no—
756Q8×C89—21no—
757Q8×C89—21no—
758Q8×C89—21no—
759Q8×C89—21no—
760Q8×C89—21no—
761Q8×C89—21no—
762Q8×C89—41no—
763Q8×C89—42no—
764Q8×C89—42no—
765Q8×C89—42no—
766Q8×C89—42no—
767Q8×C89—81no—
768Q8×C89—81no—
769Q8×C89—81no—
770Q8×C89H(5,𝔽2)12yes—
771D4×C89—24no—
772D4×C89—22no—
773D4×C89—22no—
774D4×C89—21no—
775D4×C89—21no—
776D4×C89—21no—
777D4×C89—21no—
778D4×C89—21no—
779D4×C89—41no—
780D4×C89—41no—
781D4×C89—41no—
782D4×C89—41no—
783D4×C89—41no—
784D4×C89—42no—
785D4×C89—42no—
786D4×C89—42no—
787D4×C89—42no—
788D4×C89—42no—
789D4×C89—42no—
790D4×C89—42no—
791D4×C89—81no—
792D4×C89—81no—
793D4×C89—81no—
794D4×C89—81no—
795D4×C89—81no—
796D4×C89—81no—
797D4×C89H(5,𝔽2)12yes—
798C2×C4×C89—24no—
799C2×C4×C89—21no—
800C2×C4×C89—21no—
801C2×C4×C89—21no—
802C2×C4×C89—21no—
803C2×C4×C89—21no—
804C2×C4×C89—21no—
805C2×C4×C89—21no—
806C2×C4×C89—21no—
807C2×C4×C89—21no—
808C2×C4×C89—21no—
809C2×C4×C89—21no—
810C2×C4×C89—21no—
811C2×C4×C89—21no—
812C2×C4×C89—21no—
813C2×C4×C89—21no—
814C2×C4×C89—21no—
815C2×C4×C89—21no—
816C2×C4×C89—21no—
817C2×C4×C89—21no—
818C2×C4×C89—21no—
819C2×C4×C89—21no—
820C2×C4×C89—21no—
821C2×C4×C89—21no—
822C2×C4×C89—41no—
823C2×C4×C89—41no—
824C2×C4×C89—41no—
825C2×C4×C89—42no—
826C2×C4×C89—42no—
827C2×C4×C89—42no—
828C2×C4×C89—42no—
829C2×C4×C89—42no—
830C2×C4×C89—42no—
831C2×C4×C89—42no—
832C2×C4×C89—42no—
833C2×C4×C89—42no—
834C2×C4×C89—81no—
835C2×C4×C89—81no—
836C2×C4×C89—81no—
837C2×C4×C89—81no—
838C2×C4×C89—81no—
839C2×C4×C89—81no—
840C2×C4×C89—81no—
841C2×C4×C89—81no—
842C2×C4×C89—81no—
843C2×C4×C89—81no—
844C2×C4×C89C22×D411yescharacteristic
845C2×C4×C89C22×D411yescharacteristic
846C2×C4×C89C22×D411yescharacteristic
847C2×C4×C89C22×D411yescharacteristic
848C2×C4×C89C22×D411yescharacteristic
849C2×C4×C89C22×D411yescharacteristic
850C2×C4×C89C22×D411yescharacteristic
851C2×C4×C89C22×D411yescharacteristic
852C2×C4×C89C22×D411yescharacteristic
853C2×C4×C89C2511yescharacteristic
854C8×C89—21no—
855C8×C89—21no—
856C8×C89—21no—
857C8×C89—21no—
858C8×C89—21no—
859C8×C89—21no—
860C8×C89—21no—
861C8×C89—21no—
862C22×C89—21no—
863C22×C89—21no—
864C22×C89—21no—
865C22×C89—21no—
866C22×C89—21no—
867C22×C89—21no—
868C22×C89—21no—
869C22×C89—22no—
870C22×C89—21no—
871C22×C89—21no—
872C22×C89—21no—
873C22×C89—21no—
874C22×C89—21no—
875C22×C89—21no—
876C22×C89—21no—
877C22×C89—41no—
878C22×C89—41no—
879C22×C89—41no—
880C22×C89—41no—
881C22×C89—41no—
882C22×C89—41no—
883C22×C89—41no—
884C22×C89—41no—
885C22×C89—82no—
886C22×C89—84no—
887C22×C89#57812yes—
888C22×C89C23×D411yescharacteristic
889C4×C89—21no—
890C4×C89—21no—
891C4×C89—21no—
892C4×C89—22no—
893C4×C89—21no—
894C4×C89—21no—
895C4×C89—21no—
896C4×C89—21no—
897C4×C89—21no—
898C4×C89—21no—
899C4×C89—41no—
900C4×C89—41no—
901C4×C89—41no—
902C4×C89—41no—
903C4×C89—41no—
904C4×C89—41no—
905C4×C89—41no—
906C4×C89—41no—
907C4×C89—41no—
908C4×C89—41no—
909C4×C89—41no—
910C4×C89—41no—
911C4×C89C2×H(5,𝔽2)11yescharacteristic
912C4×C89C2×H(5,𝔽2)11yescharacteristic
913#61642C8911yesmaximal, characteristic, direct product factor, Sylow
914C2×C89—22no—
915C2×C89—41no—
916C2×C89—41no—
917C2×C89—41no—
918C2×C89—41no—
919C2×C89—42no—
920C2×C89—81no—
921C2×C89—81no—
922C2×C89#348411yescharacteristic
923C2×C89C2×#57811yescharacteristic
924C2×C89#358411yescharacteristic
925#3541C2×C8911yescharacteristic, complemented
926#3489C2×C8911yescharacteristic, complemented
927#3320C2×C8911yescharacteristic, complemented
928#3315C2×C8911yescharacteristic, complemented
929#3314C2×C8911yescharacteristic, complemented
930#3313C2×C8911yescharacteristic, complemented
931#3302C2×C8911yescharacteristic, complemented
932#3300C2×C8911yescharacteristic, complemented
933#3299C2×C8911yescharacteristic, complemented
934#3297C2×C8911yescharacteristic, complemented
935D4×Q16C2×C8911yescharacteristic, complemented
936#3285C2×C8911yescharacteristic, complemented
937#3283C2×C8911yescharacteristic, complemented
938#3282C2×C8911yescharacteristic, complemented
939#3270C2×C8911yescharacteristic, complemented
940#3269C2×C8911yescharacteristic, complemented
941#3269C2×C8911yescharacteristic, complemented
942#3266C2×C8911yescharacteristic, complemented
943#3225C2×C8911yescharacteristic, complemented
944#3223C2×C8911yescharacteristic, complemented
945#3203C2×C8911yescharacteristic, complemented
946#3201C2×C8911yescharacteristic, complemented
947#3190C2×C8911yescharacteristic, complemented
948#3189C2×C8911yescharacteristic, complemented
949#3124C2×C8911yescharacteristic, complemented
950#3120C2×C8911yescharacteristic, complemented
951#3013C2×C8911yescharacteristic, complemented
952#3011C2×C8911yescharacteristic, complemented
953#3002C2×C8911yescharacteristic, complemented
954C2×#452C2×C8911yescharacteristic, complemented
955#2977C2×C8911yescharacteristic, complemented
956C89#6164211yescharacteristic, direct product factor, Sylow
957C2×2−1+4C22×C8911yescharacteristic
958C22×#41C22×C8911yescharacteristic
959C2×#137C22×C8911yescharacteristic, complemented
960C2×#137C22×C8911yescharacteristic, complemented
961C2×#135C22×C8911yescharacteristic
962C2×#135C22×C8911yescharacteristic
963C2×#135C22×C8911yescharacteristic, complemented
964C22×Q16C22×C8911yescharacteristic
965C22×Q16C22×C8911yescharacteristic, complemented
966C22×SD16C22×C8911yescharacteristic
967#563—21no—
968#562—21no—
969#556C22×C8911yescharacteristic, complemented
970#554—21no—
971#554C22×C8911yescharacteristic
972#553—21no—
973#553C22×C8911yescharacteristic
974#552C22×C8911yescharacteristic, complemented
975D4×Q8C22×C8911yescharacteristic
976D4×Q8C22×C8911yescharacteristic
977D4×Q8C22×C8911yescharacteristic
978#548C22×C8911yescharacteristic
979#548C22×C8911yescharacteristic
980#548C22×C8911yescharacteristic
981#548C22×C8911yescharacteristic, complemented
982#547—21no—
983#547—21no—
984#547C22×C8911yescharacteristic
985#547C22×C8911yescharacteristic
986#547C22×C8911yescharacteristic, complemented
987#546—21no—
988#546—21no—
989#546C22×C8911yescharacteristic
990#546C22×C8911yescharacteristic
991#542—21no—
992#542C22×C8911yescharacteristic, complemented
993#541C22×C8911yescharacteristic, complemented
994#539—21no—
995#538—21no—
996#538—21no—
997#537—21no—
998#537C22×C8911yescharacteristic
999#537C22×C8911yescharacteristic, complemented
1000#536—21no—
1001#536C22×C8911yescharacteristic
1002#536C22×C8911yescharacteristic, complemented
1003#525—21no—
1004#525C22×C8911yescharacteristic
1005#525C22×C8911yescharacteristic
1006C2×C22⋊Q8—21no—
1007C2×C22⋊Q8C22×C8911yescharacteristic
1008C2×C22⋊Q8C22×C8911yescharacteristic
1009#520C22×C8911yescharacteristic
1010#497C22×C8911yescharacteristic, complemented
1011#497C22×C8911yescharacteristic, complemented
1012#495C22×C8911yescharacteristic, complemented
1013#494C22×C8911yescharacteristic, complemented
1014#491C22×C8911yescharacteristic, complemented
1015#489C22×C8911yescharacteristic, complemented
1016#488C22×C8911yescharacteristic, complemented
1017#487C22×C8911yescharacteristic, complemented
1018#485C22×C8911yescharacteristic, complemented
1019#485C22×C8911yescharacteristic, complemented
1020#485C22×C8911yescharacteristic, complemented
1021#484C22×C8911yescharacteristic
1022#484C22×C8911yescharacteristic
1023#484C22×C8911yescharacteristic, complemented
1024#484C22×C8911yescharacteristic, complemented
1025#484C22×C8911yescharacteristic, complemented
1026#483C22×C8911yescharacteristic, complemented
1027#482C22×C8911yescharacteristic, complemented
1028#480C22×C8911yescharacteristic, complemented
1029#480C22×C8911yescharacteristic, complemented
1030#479C22×C8911yescharacteristic, complemented
1031#478C22×C8911yescharacteristic, complemented
1032#477C22×C8911yescharacteristic, complemented
1033#474C22×C8911yescharacteristic, complemented
1034#470C22×C8911yescharacteristic, complemented
1035#468C22×C8911yescharacteristic, complemented
1036#468C22×C8911yescharacteristic, complemented
1037#468C22×C8911yescharacteristic, complemented
1038#467C22×C8911yescharacteristic
1039#467C22×C8911yescharacteristic
1040#467C22×C8911yescharacteristic, complemented
1041#467C22×C8911yescharacteristic, complemented
1042#467C22×C8911yescharacteristic, complemented
1043#467C22×C8911yescharacteristic, complemented
1044#467C22×C8911yescharacteristic, complemented
1045#467C22×C8911yescharacteristic, complemented
1046#466C22×C8911yescharacteristic, complemented
1047#465C22×C8911yescharacteristic
1048#465C22×C8911yescharacteristic
1049#465C22×C8911yescharacteristic, complemented
1050#464C22×C8911yescharacteristic, complemented
1051#464C22×C8911yescharacteristic, complemented
1052#464C22×C8911yescharacteristic, complemented
1053#464C22×C8911yescharacteristic, complemented
1054#463C22×C8911yescharacteristic, complemented
1055#463C22×C8911yescharacteristic, complemented
1056#462C22×C8911yescharacteristic, complemented
1057#462C22×C8911yescharacteristic, complemented
1058#462C22×C8911yescharacteristic, complemented
1059#462C22×C8911yescharacteristic, complemented
1060#461C22×C8911yescharacteristic, complemented
1061#461C22×C8911yescharacteristic, complemented
1062#452C22×C8911yescharacteristic
1063#452C22×C8911yescharacteristic
1064#452C22×C8911yescharacteristic
1065#452C22×C8911yescharacteristic
1066#452C22×C8911yescharacteristic
1067#452C22×C8911yescharacteristic
1068#452C22×C8911yescharacteristic
1069#452C22×C8911yescharacteristic
1070#452C22×C8911yescharacteristic
1071#452C22×C8911yescharacteristic
1072#452C22×C8911yescharacteristic, complemented
1073#452C22×C8911yescharacteristic, complemented
1074#452C22×C8911yescharacteristic, complemented
1075#452C22×C8911yescharacteristic, complemented
1076#452C22×C8911yescharacteristic, complemented
1077#452C22×C8911yescharacteristic, complemented
1078#451C22×C8911yescharacteristic
1079#451C22×C8911yescharacteristic
1080#451C22×C8911yescharacteristic
1081#451C22×C8911yescharacteristic, complemented
1082#451C22×C8911yescharacteristic, complemented
1083#451C22×C8911yescharacteristic, complemented
1084#451C22×C8911yescharacteristic, complemented
1085#451C22×C8911yescharacteristic, complemented
1086#451C22×C8911yescharacteristic, complemented
1087#451C22×C8911yescharacteristic, complemented
1088#450C22×C8911yescharacteristic
1089#449C22×C8911yescharacteristic
1090#449C22×C8911yescharacteristic
1091#449C22×C8911yescharacteristic, complemented
1092#449C22×C8911yescharacteristic, complemented
1093#448C22×C8911yescharacteristic
1094#448C22×C8911yescharacteristic, complemented
1095#448C22×C8911yescharacteristic, complemented
1096#448C22×C8911yescharacteristic, complemented
1097#447C22×C8911yescharacteristic
1098#441C22×C8911yescharacteristic, complemented
1099#440C22×C8911yescharacteristic, complemented
1100#440C22×C8911yescharacteristic, complemented
1101#440C22×C8911yescharacteristic, complemented
1102C4×Q16C22×C8911yescharacteristic, complemented
1103C4×Q16C22×C8911yescharacteristic, complemented
1104C4×SD16C22×C8911yescharacteristic, complemented
1105C4×D8C22×C8911yescharacteristic, complemented
1106#435C22×C8911yescharacteristic
1107#435C22×C8911yescharacteristic
1108#435C22×C8911yescharacteristic, complemented
1109#435C22×C8911yescharacteristic, complemented
1110C8×D4C22×C8911yescharacteristic
1111C8×D4C22×C8911yescharacteristic
1112C8×D4C22×C8911yescharacteristic, complemented
1113C8×D4C22×C8911yescharacteristic, complemented
1114#433C22×C8911yescharacteristic, complemented
1115#433C22×C8911yescharacteristic, complemented
1116#419C22×C8911yescharacteristic, complemented
1117#417C22×C8911yescharacteristic, complemented
1118#416C22×C8911yescharacteristic
1119#416C22×C8911yescharacteristic
1120#416C22×C8911yescharacteristic, complemented
1121C2×#103C22×C8911yescharacteristic
1122C2×#103C22×C8911yescharacteristic, complemented
1123C2×#102C22×C8911yescharacteristic
1124#408C22×C8911yescharacteristic, complemented
1125#408C22×C8911yescharacteristic, complemented
1126C2×C22⋊C8C22×C8911yescharacteristic
1127C2×C22⋊C8C22×C8911yescharacteristic
11282−1+4—42no—
11292−1+4—42no—
1130C2×#41—21no—
1131C2×#41—21no—
1132C2×#41—21no—
1133C2×#41—21no—
1134C2×#41—21no—
1135C2×#41—42no—
1136C2×#41—42no—
1137C2×#41C23×C8911yescharacteristic
1138C2×#41C23×C8911yescharacteristic
1139C2×#41C23×C8911yescharacteristic
1140C2×#41C23×C8911yescharacteristic
1141C2×#41C23×C8911yescharacteristic
1142C2×#41C23×C8911yescharacteristic
1143C2×#41C23×C8911yescharacteristic
1144C2×#41C23×C8911yescharacteristic
1145C2×#41C23×C8911yescharacteristic
1146C22×Q8—21no—
1147C22×Q8C23×C8911yescharacteristic
1148C22×Q8C23×C8911yescharacteristic
1149C22×Q8C23×C8911yescharacteristic
1150C22×Q8C23×C8911yescharacteristic
1151C22×Q8C23×C8911yescharacteristic
1152C22×Q8C23×C8911yescharacteristic
1153C22×D4—21no—
1154C22×D4C23×C8911yescharacteristic
1155C23×C4—21no—
1156C23×C4C23×C8911yescharacteristic
1157#137—42no—
1158#137—42no—
1159#135—42no—
1160#135—42no—
1161#135—42no—
1162C2×Q16—42no—
1163C2×Q16—42no—
1164C2×Q16C23×C8911yescharacteristic
1165C2×Q16C23×C8911yescharacteristic
1166C2×Q16C23×C8911yescharacteristic
1167C2×Q16C23×C8911yescharacteristic
1168C2×Q16C23×C8911yescharacteristic
1169C2×Q16C23×C8911yescharacteristic
1170C2×Q16C23×C8911yescharacteristic
1171C2×Q16C23×C8911yescharacteristic
1172C2×Q16C23×C8911yescharacteristic
1173C2×Q16C23×C8911yescharacteristic
1174C2×Q16C23×C8911yescharacteristic
1175C2×Q16C23×C8911yescharacteristic
1176C2×SD16—42no—
1177C2×SD16C23×C8911yescharacteristic
1178C2×SD16C23×C8911yescharacteristic
1179C2×SD16C23×C8911yescharacteristic
1180C2×SD16C23×C8911yescharacteristic
1181C2×SD16C23×C8911yescharacteristic
1182C2×SD16C23×C8911yescharacteristic
1183C2×SD16C23×C8911yescharacteristic
1184C2×SD16C23×C8911yescharacteristic
1185C2×SD16C23×C8911yescharacteristic
1186C2×SD16C23×C8911yescharacteristic
1187C2×D8C23×C8911yescharacteristic
1188C2×D8C23×C8911yescharacteristic
1189C2×M16C23×C8911yescharacteristic
1190C2×M16C23×C8911yescharacteristic
1191C22×C8C23×C8911yescharacteristic
1192C22×C8C23×C8911yescharacteristic
1193C22×C8C23×C8911yescharacteristic
1194C22×C8C23×C8911yescharacteristic
1195C22×C8C23×C8911yescharacteristic
1196C22×C8C23×C8911yescharacteristic
1197C4⋊Q8—21no—
1198C4⋊Q8—21no—
1199C4⋊Q8—21no—
1200C4⋊Q8—21no—
1201C4⋊Q8C23×C8911yescharacteristic
1202C4⋊Q8C23×C8911yescharacteristic
1203C4⋊Q8C23×C8911yescharacteristic
1204C4⋊Q8C23×C8911yescharacteristic
1205#126—21no—
1206#126—21no—
1207#126—21no—
1208#126—21no—
1209#126—21no—
1210#126—21no—
1211#126—21no—
1212#125—21no—
1213#125—21no—
1214#125—21no—
1215#125—21no—
1216#125C23×C8911yescharacteristic
1217#124—21no—
1218#124—21no—
1219#124—21no—
1220#124—21no—
1221#124—21no—
1222#124—21no—
1223#124—21no—
1224#124C23×C8911yescharacteristic
1225#124C23×C8911yescharacteristic
1226#124C23×C8911yescharacteristic
1227#123—21no—
1228#123—21no—
1229#123—21no—
1230#123—21no—
1231#123—21no—
1232#123—21no—
1233#123—21no—
1234#123—21no—
1235#123—21no—
1236#123—21no—
1237#123—21no—
1238#123—21no—
1239#123—21no—
1240#123—21no—
1241#123—21no—
1242#123—21no—
1243#123D4×C8911yescharacteristic
1244#123D4×C8911yescharacteristic
1245C22⋊Q8—21no—
1246C22⋊Q8—21no—
1247C22⋊Q8—21no—
1248C22⋊Q8—21no—
1249C22⋊Q8—21no—
1250C22⋊Q8—21no—
1251C22⋊Q8—21no—
1252C22⋊Q8—21no—
1253C22⋊Q8—21no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—21no—
1257C22⋊Q8—21no—
1258C22⋊Q8—21no—
1259C22⋊Q8—21no—
1260C22⋊Q8—21no—
1261C22⋊Q8—21no—
1262C22⋊Q8—21no—
1263C22⋊Q8—21no—
1264C22⋊Q8—21no—
1265C22⋊Q8—21no—
1266C22⋊Q8D4×C8911yescharacteristic
1267C22⋊Q8D4×C8911yescharacteristic
1268C22⋊Q8C23×C8911yescharacteristic
1269C22⋊Q8C23×C8911yescharacteristic
1270C22⋊Q8C23×C8911yescharacteristic
1271C22⋊Q8C23×C8911yescharacteristic
1272C22⋊Q8C23×C8911yescharacteristic
1273C22⋊Q8C23×C8911yescharacteristic
1274C22⋊Q8C23×C8911yescharacteristic
1275C22⋊Q8C23×C8911yescharacteristic
1276C22⋊Q8C23×C8911yescharacteristic
1277C22⋊Q8C23×C8911yescharacteristic
1278C22⋊Q8C23×C8911yescharacteristic
1279C22⋊Q8C23×C8911yescharacteristic
1280C22⋊Q8C23×C8911yescharacteristic
1281C22⋊Q8C23×C8911yescharacteristic
1282C22⋊Q8C23×C8911yescharacteristic
1283#121—21no—
1284#121—21no—
1285#121—21no—
1286#121—21no—
1287#121—21no—
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#121D4×C8911yescharacteristic
1300#121D4×C8911yescharacteristic
1301#121C23×C8911yescharacteristic
1302#121C23×C8911yescharacteristic
1303#121C23×C8911yescharacteristic
1304#121C23×C8911yescharacteristic
1305#121C23×C8911yescharacteristic
1306#120—21no—
1307#120—21no—
1308#120—21no—
1309#120D4×C8911yescharacteristic
1310#120D4×C8911yescharacteristic
1311C4×Q8—21no—
1312C4×Q8C23×C8911yescharacteristic
1313C4×Q8C23×C8911yescharacteristic
1314C4×Q8C23×C8911yescharacteristic
1315C4×Q8C23×C8911yescharacteristic
1316C4×Q8C23×C8911yescharacteristic
1317C4×D4—21no—
1318C4×D4—21no—
1319C4×D4—21no—
1320C4×D4—21no—
1321C4×D4—21no—
1322C4×D4—21no—
1323C4×D4—21no—
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—21no—
1328C4×D4—21no—
1329C4×D4—21no—
1330C4×D4C23×C8911yescharacteristic
1331C4×D4C23×C8911yescharacteristic
1332C4×D4C23×C8911yescharacteristic
1333C4×D4C23×C8911yescharacteristic
1334C4×D4C23×C8911yescharacteristic
1335C4×D4C23×C8911yescharacteristic
1336C4×D4C23×C8911yescharacteristic
1337#117—21no—
1338#117—21no—
1339#117C23×C8911yescharacteristic
1340#117C23×C8911yescharacteristic
1341#117C23×C8911yescharacteristic
1342C2×C4⋊C4—21no—
1343C2×C4⋊C4—21no—
1344C2×C4⋊C4—21no—
1345C2×C4⋊C4—21no—
1346C2×C4⋊C4—21no—
1347C2×C4⋊C4—21no—
1348C2×C4⋊C4C23×C8911yescharacteristic
1349C2×C4⋊C4C23×C8911yescharacteristic
1350C2×C4⋊C4C23×C8911yescharacteristic
1351C2×C22⋊C4—21no—
1352C2×C22⋊C4—21no—
1353C2×C22⋊C4—21no—
1354C2×C22⋊C4—21no—
1355#107C23×C8911yescharacteristic
1356#107C23×C8911yescharacteristic
1357#107C23×C8911yescharacteristic
1358#107C23×C8911yescharacteristic
1359#107C23×C8911yescharacteristic
1360#107C23×C8911yescharacteristic
1361#106C23×C8911yescharacteristic
1362#106C23×C8911yescharacteristic
1363C4⋊C8C23×C8911yescharacteristic
1364C4⋊C8C23×C8911yescharacteristic
1365C4⋊C8C23×C8911yescharacteristic
1366C4⋊C8C23×C8911yescharacteristic
1367#103C23×C8911yescharacteristic
1368#103C23×C8911yescharacteristic
1369#103C23×C8911yescharacteristic
1370#103C23×C8911yescharacteristic
1371#103C23×C8911yescharacteristic
1372#103C23×C8911yescharacteristic
1373#103C23×C8911yescharacteristic
1374#103C23×C8911yescharacteristic
1375#103C23×C8911yescharacteristic
1376#103C23×C8911yescharacteristic
1377#103C23×C8911yescharacteristic
1378#103C23×C8911yescharacteristic
1379#103C23×C8911yescharacteristic
1380#103C23×C8911yescharacteristic
1381#103C23×C8911yescharacteristic
1382#103C23×C8911yescharacteristic
1383#103C23×C8911yescharacteristic
1384#103C23×C8911yescharacteristic
1385#103C23×C8911yescharacteristic
1386#103C23×C8911yescharacteristic
1387#103C23×C8911yescharacteristic
1388#103C23×C8911yescharacteristic
1389#102C23×C8911yescharacteristic
1390#102C23×C8911yescharacteristic
1391#102C23×C8911yescharacteristic
1392#102C23×C8911yescharacteristic
1393#102C23×C8911yescharacteristic
1394#102C23×C8911yescharacteristic
1395#102C23×C8911yescharacteristic
1396#102C23×C8911yescharacteristic
1397#102C23×C8911yescharacteristic
1398#102C23×C8911yescharacteristic
1399C22⋊C8C23×C8911yescharacteristic
1400C22⋊C8C23×C8911yescharacteristic
1401C22⋊C8C23×C8911yescharacteristic
1402C22⋊C8C23×C8911yescharacteristic
1403C22⋊C8C23×C8911yescharacteristic
1404C22⋊C8C23×C8911yescharacteristic
1405C22⋊C8C23×C8911yescharacteristic
1406C22⋊C8C23×C8911yescharacteristic
1407C22⋊C8C23×C8911yescharacteristic
1408C22⋊C8C23×C8911yescharacteristic
1409C22⋊C8C23×C8911yescharacteristic
1410C22⋊C8C23×C8911yescharacteristic
1411#97C23×C8911yescharacteristic
1412#97C23×C8911yescharacteristic
1413C4×C8C23×C8911yescharacteristic
1414C4×C8C23×C8911yescharacteristic
1415C24—21no—
1416C24C2×D4×C8911yescharacteristic
1417#41—22no—
1418#41—22no—
1419#41—22no—
1420#41—22no—
1421#41—22no—
1422#41—22no—
1423#41—41no—
1424#41—41no—
1425#41—41no—
1426#41—41no—
1427#41—41no—
1428#41—41no—
1429#41—41no—
1430#41—41no—
1431#41—44no—
1432#41—44no—
1433#41—41no—
1434#41—41no—
1435#41—41no—
1436#41—41no—
1437#41—44no—
1438#41—44no—
1439#41—44no—
1440C2×Q8—21no—
1441C2×Q8—21no—
1442C2×Q8—21no—
1443C2×Q8—21no—
1444C2×Q8—21no—
1445C2×Q8—21no—
1446C2×Q8—21no—
1447C2×Q8—22no—
1448C2×Q8—22no—
1449C2×Q8—22no—
1450C2×Q8—41no—
1451C2×Q8—41no—
1452C2×Q8—41no—
1453C2×Q8—41no—
1454C2×Q8—41no—
1455C2×Q8—44no—
1456C2×Q8—41no—
1457C2×Q8—41no—
1458C2×Q8—41no—
1459C2×Q8—41no—
1460C2×Q8C2×D4×C8911yescharacteristic
1461C2×Q8C24×C8911yescharacteristic
1462C2×Q8C24×C8911yescharacteristic
1463C2×Q8C24×C8911yescharacteristic
1464C2×Q8C24×C8911yescharacteristic
1465C2×Q8C24×C8911yescharacteristic
1466C2×Q8C24×C8911yescharacteristic
1467C2×Q8C24×C8911yescharacteristic
1468C2×D4—21no—
1469C2×D4—22no—
1470C2×D4—21no—
1471C2×D4—21no—
1472C2×D4—21no—
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—41no—
1484C2×D4—44no—
1485C2×D4C2×D4×C8911yescharacteristic
1486C2×D4C2×D4×C8911yescharacteristic
1487C2×D4C2×D4×C8911yescharacteristic
1488C2×D4C2×D4×C8911yescharacteristic
1489C2×D4C2×D4×C8911yescharacteristic
1490C2×D4C2×D4×C8911yescharacteristic
1491C2×D4C2×D4×C8911yescharacteristic
1492C2×D4C24×C8911yescharacteristic
1493C2×D4C24×C8911yescharacteristic
1494C2×D4C24×C8911yescharacteristic
1495C22×C4—21no—
1496C22×C4—21no—
1497C22×C4—21no—
1498C22×C4—21no—
1499C22×C4—21no—
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—21no—
1504C22×C4—21no—
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—21no—
1514C22×C4—21no—
1515C22×C4—41no—
1516C22×C4—41no—
1517C22×C4—44no—
1518C22×C4C2×D4×C8911yescharacteristic
1519C22×C4C2×D4×C8911yescharacteristic
1520C22×C4C2×D4×C8911yescharacteristic
1521C22×C4C24×C8911yescharacteristic
1522C22×C4C24×C8911yescharacteristic
1523C22×C4C24×C8911yescharacteristic
1524C22×C4C24×C8911yescharacteristic
1525C22×C4C24×C8911yescharacteristic
1526Q16—22no—
1527Q16—22no—
1528Q16—22no—
1529Q16—41no—
1530Q16—41no—
1531Q16—41no—
1532Q16—41no—
1533Q16—41no—
1534Q16—41no—
1535Q16—41no—
1536Q16—41no—
1537Q16—41no—
1538SD16—22no—
1539SD16—22no—
1540SD16—22no—
1541SD16—22no—
1542SD16—41no—
1543SD16—41no—
1544SD16—41no—
1545SD16—41no—
1546SD16—41no—
1547SD16—41no—
1548D8—22no—
1549D8—41no—
1550M16—41no—
1551M16—41no—
1552C2×C8—41no—
1553C2×C8—41no—
1554C2×C8—41no—
1555C2×C8—41no—
1556C2×C8—41no—
1557C2×C8—41no—
1558C2×C8C24×C8911yescharacteristic
1559C2×C8C24×C8911yescharacteristic
1560C2×C8C24×C8911yescharacteristic
1561C2×C8C24×C8911yescharacteristic
1562C2×C8C24×C8911yescharacteristic
1563C2×C8C24×C8911yescharacteristic
1564C2×C8C24×C8911yescharacteristic
1565C2×C8C24×C8911yescharacteristic
1566C4⋊C4—21no—
1567C4⋊C4—21no—
1568C4⋊C4—21no—
1569C4⋊C4—21no—
1570C4⋊C4—21no—
1571C4⋊C4—21no—
1572C4⋊C4—21no—
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4C2×D4×C8911yescharacteristic
1599C4⋊C4C2×D4×C8911yescharacteristic
1600C4⋊C4C2×D4×C8911yescharacteristic
1601C4⋊C4C2×D4×C8911yescharacteristic
1602C4⋊C4C2×D4×C8911yescharacteristic
1603C4⋊C4C2×D4×C8911yescharacteristic
1604C4⋊C4C24×C8911yescharacteristic
1605C4⋊C4C24×C8911yescharacteristic
1606C4⋊C4C24×C8911yescharacteristic
1607C4⋊C4C24×C8911yescharacteristic
1608C4⋊C4C24×C8911yescharacteristic
1609C4⋊C4C24×C8911yescharacteristic
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4C2×D4×C8911yescharacteristic
1642C22⋊C4C2×D4×C8911yescharacteristic
1643C22⋊C4C2×D4×C8911yescharacteristic
1644C22⋊C4C2×D4×C8911yescharacteristic
1645C22⋊C4C2×D4×C8911yescharacteristic
1646C22⋊C4C2×D4×C8911yescharacteristic
1647C22⋊C4C2×D4×C8911yescharacteristic
1648C22⋊C4C2×D4×C8911yescharacteristic
1649C22⋊C4C2×D4×C8911yescharacteristic
1650C22⋊C4C2×D4×C8911yescharacteristic
1651C42—21no—
1652C42—21no—
1653C42—21no—
1654C42—21no—
1655C42—21no—
1656C42—21no—
1657C42—21no—
1658C42C24×C8911yescharacteristic
1659C42C24×C8911yescharacteristic
1660C23—21no—
1661C23—22no—
1662C23—21no—
1663C23—21no—
1664C23—41no—
1665C23—41no—
1666C23—42no—
1667C23—42no—
1668C23—81no—
1669C23C22×D4×C8911yescharacteristic
1670C23C22×D4×C8911yescharacteristic
1671C23C22×D4×C8911yescharacteristic
1672C23C22×D4×C8911yescharacteristic
1673C23C22×D4×C8911yescharacteristic
1674Q8—21no—
1675Q8—21no—
1676Q8—21no—
1677Q8—21no—
1678Q8—21no—
1679Q8—21no—
1680Q8—21no—
1681Q8—21no—
1682Q8—21no—
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—21no—
1687Q8—41no—
1688Q8—42no—
1689Q8—42no—
1690Q8—42no—
1691Q8—42no—
1692Q8—81no—
1693Q8—81no—
1694Q8—81no—
1695Q8H(5,𝔽2)×C8912yes—
1696D4—24no—
1697D4—22no—
1698D4—22no—
1699D4—21no—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—41no—
1705D4—41no—
1706D4—41no—
1707D4—41no—
1708D4—41no—
1709D4—42no—
1710D4—42no—
1711D4—42no—
1712D4—42no—
1713D4—42no—
1714D4—42no—
1715D4—42no—
1716D4—81no—
1717D4—81no—
1718D4—81no—
1719D4—81no—
1720D4—81no—
1721D4—81no—
1722D4H(5,𝔽2)×C8912yes—
1723C2×C4—24no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—41no—
1748C2×C4—41no—
1749C2×C4—41no—
1750C2×C4—42no—
1751C2×C4—42no—
1752C2×C4—42no—
1753C2×C4—42no—
1754C2×C4—42no—
1755C2×C4—42no—
1756C2×C4—42no—
1757C2×C4—42no—
1758C2×C4—42no—
1759C2×C4—81no—
1760C2×C4—81no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—81no—
1765C2×C4—81no—
1766C2×C4—81no—
1767C2×C4—81no—
1768C2×C4—81no—
1769C2×C4C22×D4×C8911yescharacteristic
1770C2×C4C22×D4×C8911yescharacteristic
1771C2×C4C22×D4×C8911yescharacteristic
1772C2×C4C22×D4×C8911yescharacteristic
1773C2×C4C22×D4×C8911yescharacteristic
1774C2×C4C22×D4×C8911yescharacteristic
1775C2×C4C22×D4×C8911yescharacteristic
1776C2×C4C22×D4×C8911yescharacteristic
1777C2×C4C22×D4×C8911yescharacteristic
1778C2×C4C25×C8911yescharacteristic
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—21no—
1783C8—21no—
1784C8—21no—
1785C8—21no—
1786C8—21no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—21no—
1791C22—21no—
1792C22—21no—
1793C22—21no—
1794C22—21no—
1795C22—21no—
1796C22—21no—
1797C22—21no—
1798C22—22no—
1799C22—21no—
1800C22—21no—
1801C22—21no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—41no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—82no—
1811C22—84no—
1812C22#578×C8912yes—
1813C22C23×D4×C8911yescharacteristic
1814C4—21no—
1815C4—21no—
1816C4—21no—
1817C4—21no—
1818C4—21no—
1819C4—22no—
1820C4—21no—
1821C4—21no—
1822C4—21no—
1823C4—21no—
1824C4—41no—
1825C4—41no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—41no—
1833C4—41no—
1834C4—41no—
1835C4—41no—
1836C4C2×H(5,𝔽2)×C8911yescharacteristic
1837C4C2×H(5,𝔽2)×C8911yescharacteristic
1838C2—22no—
1839C2—41no—
1840C2—41no—
1841C2—41no—
1842C2—41no—
1843C2—42no—
1844C2—81no—
1845C2—81no—
1846C2C89×#348411yescharacteristic
1847C2C2×#578×C8911yescharacteristic
1848C2C89×#358411yescharacteristic
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×#3541C2semidirect
2. C89×#3489C2semidirect
3. C89×#3320C2semidirect
4. C89×#3315C2semidirect
5. C89×#3314C2semidirect
6. C89×#3313C2semidirect
7. C89×#3302C2semidirect
8. C89×#3300C2semidirect
9. C89×#3299C2semidirect
10. C89×#3297C2semidirect
11. D4×Q16×C89C2semidirect
12. C89×#3285C2semidirect
13. C89×#3283C2semidirect
14. C89×#3282C2semidirect
15. C89×#3270C2semidirect
16. C89×#3269C2semidirect
17. C89×#3269C2semidirect
18. C89×#3266C2semidirect
19. C89×#3225C2semidirect
20. C89×#3223C2semidirect
21. C89×#3203C2semidirect
22. C89×#3201C2semidirect
23. C89×#3190C2semidirect
24. C89×#3189C2semidirect
25. C89×#3124C2semidirect
26. C89×#3120C2semidirect
27. C89×#3013C2semidirect
28. C89×#3011C2semidirect
29. C89×#3002C2semidirect
30. C2×#452×C89C2semidirect
31. C89×#2977C2semidirect
34. C2×#137×C89C22semidirect
35. C2×#137×C89C22semidirect
38. C2×#135×C89C22semidirect
40. C22×Q16×C89C22semidirect
44. #556×C89C22semidirect
49. #552×C89C22semidirect
56. #548×C89C22semidirect
61. #547×C89C22semidirect
67. #542×C89C22semidirect
68. #541×C89C22semidirect
74. #537×C89C22semidirect
77. #536×C89C22semidirect
85. #497×C89C22semidirect
86. #497×C89C22semidirect
87. #495×C89C22semidirect
88. #494×C89C22semidirect
89. #491×C89C22semidirect
90. #489×C89C22semidirect
91. #488×C89C22semidirect
92. #487×C89C22semidirect
93. #485×C89C22semidirect
94. #485×C89C22semidirect
95. #485×C89C22semidirect
98. #484×C89C22semidirect
99. #484×C89C22semidirect
100. #484×C89C22semidirect
101. #483×C89C22semidirect
102. #482×C89C22semidirect
103. #480×C89C22semidirect
104. #480×C89C22semidirect
105. #479×C89C22semidirect
106. #478×C89C22semidirect
107. #477×C89C22semidirect
108. #474×C89C22semidirect
109. #470×C89C22semidirect
110. #468×C89C22semidirect
111. #468×C89C22semidirect
112. #468×C89C22semidirect
115. #467×C89C22semidirect
116. #467×C89C22semidirect
117. #467×C89C22semidirect
118. #467×C89C22semidirect
119. #467×C89C22semidirect
120. #467×C89C22semidirect
121. #466×C89C22semidirect
124. #465×C89C22semidirect
125. #464×C89C22semidirect
126. #464×C89C22semidirect
127. #464×C89C22semidirect
128. #464×C89C22semidirect
129. #463×C89C22semidirect
130. #463×C89C22semidirect
131. #462×C89C22semidirect
132. #462×C89C22semidirect
133. #462×C89C22semidirect
134. #462×C89C22semidirect
135. #461×C89C22semidirect
136. #461×C89C22semidirect
147. #452×C89C22semidirect
148. #452×C89C22semidirect
149. #452×C89C22semidirect
150. #452×C89C22semidirect
151. #452×C89C22semidirect
152. #452×C89C22semidirect
156. #451×C89C22semidirect
157. #451×C89C22semidirect
158. #451×C89C22semidirect
159. #451×C89C22semidirect
160. #451×C89C22semidirect
161. #451×C89C22semidirect
162. #451×C89C22semidirect
166. #449×C89C22semidirect
167. #449×C89C22semidirect
169. #448×C89C22semidirect
170. #448×C89C22semidirect
171. #448×C89C22semidirect
173. #441×C89C22semidirect
174. #440×C89C22semidirect
175. #440×C89C22semidirect
176. #440×C89C22semidirect
177. C4×Q16×C89C22semidirect
178. C4×Q16×C89C22semidirect
179. C4×SD16×C89C22semidirect
180. C4×D8×C89C22semidirect
183. #435×C89C22semidirect
184. #435×C89C22semidirect
187. C8×D4×C89C22semidirect
188. C8×D4×C89C22semidirect
189. #433×C89C22semidirect
190. #433×C89C22semidirect
191. #419×C89C22semidirect
192. #417×C89C22semidirect
195. #416×C89C22semidirect
197. C2×#103×C89C22semidirect
199. #408×C89C22semidirect
200. #408×C89C22semidirect
913. #61642C89direct (N × H)
925. #3541C2×C89semidirect
926. #3489C2×C89semidirect
927. #3320C2×C89semidirect
928. #3315C2×C89semidirect
929. #3314C2×C89semidirect
930. #3313C2×C89semidirect
931. #3302C2×C89semidirect
932. #3300C2×C89semidirect
933. #3299C2×C89semidirect
934. #3297C2×C89semidirect
935. D4×Q16C2×C89semidirect
936. #3285C2×C89semidirect
937. #3283C2×C89semidirect
938. #3282C2×C89semidirect
939. #3270C2×C89semidirect
940. #3269C2×C89semidirect
941. #3269C2×C89semidirect
942. #3266C2×C89semidirect
943. #3225C2×C89semidirect
944. #3223C2×C89semidirect
945. #3203C2×C89semidirect
946. #3201C2×C89semidirect
947. #3190C2×C89semidirect
948. #3189C2×C89semidirect
949. #3124C2×C89semidirect
950. #3120C2×C89semidirect
951. #3013C2×C89semidirect
952. #3011C2×C89semidirect
953. #3002C2×C89semidirect
954. C2×#452C2×C89semidirect
955. #2977C2×C89semidirect
956. C89#61642direct (N × H)
959. C2×#137C22×C89semidirect
960. C2×#137C22×C89semidirect
963. C2×#135C22×C89semidirect
965. C22×Q16C22×C89semidirect
969. #556C22×C89semidirect
974. #552C22×C89semidirect
981. #548C22×C89semidirect
986. #547C22×C89semidirect
992. #542C22×C89semidirect
993. #541C22×C89semidirect
999. #537C22×C89semidirect
1002. #536C22×C89semidirect
1010. #497C22×C89semidirect
1011. #497C22×C89semidirect
1012. #495C22×C89semidirect
1013. #494C22×C89semidirect
1014. #491C22×C89semidirect
1015. #489C22×C89semidirect
1016. #488C22×C89semidirect
1017. #487C22×C89semidirect
1018. #485C22×C89semidirect
1019. #485C22×C89semidirect
1020. #485C22×C89semidirect
1023. #484C22×C89semidirect
1024. #484C22×C89semidirect
1025. #484C22×C89semidirect
1026. #483C22×C89semidirect
1027. #482C22×C89semidirect
1028. #480C22×C89semidirect
1029. #480C22×C89semidirect
1030. #479C22×C89semidirect
1031. #478C22×C89semidirect
1032. #477C22×C89semidirect
1033. #474C22×C89semidirect
1034. #470C22×C89semidirect
1035. #468C22×C89semidirect
1036. #468C22×C89semidirect
1037. #468C22×C89semidirect
1040. #467C22×C89semidirect
1041. #467C22×C89semidirect
1042. #467C22×C89semidirect
1043. #467C22×C89semidirect
1044. #467C22×C89semidirect
1045. #467C22×C89semidirect
1046. #466C22×C89semidirect
1049. #465C22×C89semidirect
1050. #464C22×C89semidirect
1051. #464C22×C89semidirect
1052. #464C22×C89semidirect
1053. #464C22×C89semidirect
1054. #463C22×C89semidirect
1055. #463C22×C89semidirect
1056. #462C22×C89semidirect
1057. #462C22×C89semidirect
1058. #462C22×C89semidirect
1059. #462C22×C89semidirect
1060. #461C22×C89semidirect
1061. #461C22×C89semidirect
1072. #452C22×C89semidirect
1073. #452C22×C89semidirect
1074. #452C22×C89semidirect
1075. #452C22×C89semidirect
1076. #452C22×C89semidirect
1077. #452C22×C89semidirect
1081. #451C22×C89semidirect
1082. #451C22×C89semidirect
1083. #451C22×C89semidirect
1084. #451C22×C89semidirect
1085. #451C22×C89semidirect
1086. #451C22×C89semidirect
1087. #451C22×C89semidirect
1091. #449C22×C89semidirect
1092. #449C22×C89semidirect
1094. #448C22×C89semidirect
1095. #448C22×C89semidirect
1096. #448C22×C89semidirect
1098. #441C22×C89semidirect
1099. #440C22×C89semidirect
1100. #440C22×C89semidirect
1101. #440C22×C89semidirect
1102. C4×Q16C22×C89semidirect
1103. C4×Q16C22×C89semidirect
1104. C4×SD16C22×C89semidirect
1105. C4×D8C22×C89semidirect
1108. #435C22×C89semidirect
1109. #435C22×C89semidirect
1112. C8×D4C22×C89semidirect
1113. C8×D4C22×C89semidirect
1114. #433C22×C89semidirect
1115. #433C22×C89semidirect
1116. #419C22×C89semidirect
1117. #417C22×C89semidirect
1120. #416C22×C89semidirect
1122. C2×#103C22×C89semidirect
1124. #408C22×C89semidirect
1125. #408C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#35412
C89×#34892
C89×#33202
C89×#33152
C89×#33142
C89×#33132
C89×#33022
C89×#33002
C89×#32992
C89×#32972
D4×Q16×C892
C89×#32852
C89×#32832
C89×#32822
C89×#32702
C89×#32692
C89×#32662
C89×#32252
C89×#32232
C89×#32032
C89×#32012
C89×#31902
C89×#31892
C89×#31242
C89×#31202
C89×#30132
C89×#30112
C89×#30022
C2×#452×C892
C89×#29772
#6164289