Finite Group Databasebeta

← C89×#36758 #36414606

Subgroups — C89×#36758 #36414606

Order 22784.

2210 conjugacy classes of subgroups.

The subgroup lattice has 1686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C89×#2848C211yesmaximal, characteristic, complemented
2C89×#2847C211yesmaximal, characteristic, complemented
3C89×#2797C211yesmaximal, characteristic, complemented
4C89×#2781C211yesmaximal, characteristic, complemented
5C89×#2779C211yesmaximal, characteristic, complemented
6C89×#2778C211yesmaximal, characteristic, complemented
7C89×#2778C211yesmaximal, characteristic, complemented
8C89×#2756C211yesmaximal, characteristic, complemented
9C89×#2753C211yesmaximal, characteristic, complemented
10C89×#2749C211yesmaximal, characteristic, complemented
11C89×#2741C211yesmaximal, characteristic, complemented
12C89×#2730C211yesmaximal, characteristic, complemented
13C89×#2714C211yesmaximal, characteristic, complemented
14C89×#2703C211yesmaximal, characteristic, complemented
15C89×#2702C211yesmaximal, characteristic, complemented
16C89×#2696C211yesmaximal, characteristic, complemented
17C89×#2688C211yesmaximal, characteristic, complemented
18C89×#2676C211yesmaximal, characteristic, complemented
19C89×#2613C211yesmaximal, characteristic, complemented
20C89×#2613C211yesmaximal, characteristic, complemented
21C89×#2493C211yesmaximal, characteristic, complemented
22C89×#2488C211yesmaximal, characteristic, complemented
23C89×#2480C211yesmaximal, characteristic, complemented
24C89×#2472C211yesmaximal, characteristic, complemented
25C89×#2425C211yesmaximal, characteristic, complemented
26C89×#2424C211yesmaximal, characteristic, complemented
27C89×#2419C211yesmaximal, characteristic, complemented
28C89×#2418C211yesmaximal, characteristic, complemented
29C89×#2321C211yesmaximal, characteristic, complemented
30C89×#2321C211yesmaximal, characteristic, complemented
31C2×#386×C89C211yesmaximal, characteristic, complemented
32C23×D4×C89C2211yescharacteristic
33C24×C4×C89C2211yescharacteristic
34C2×#126×C89C2211yescharacteristic, complemented
35C2×#124×C89C2211yescharacteristic, complemented
36C2×#123×C89C2211yescharacteristic
37C2×#123×C89C2211yescharacteristic
38C2×#123×C89C2211yescharacteristic, complemented
39C2×C22⋊Q8×C89C2211yescharacteristic
40C2×C22⋊Q8×C89C2211yescharacteristic, complemented
41C2×C22⋊Q8×C89C2211yescharacteristic, complemented
42C2×#121×C89C2211yescharacteristic
43C2×#121×C89C2211yescharacteristic, complemented
44C2×#121×C89C2211yescharacteristic, complemented
45C2×#121×C89C2211yescharacteristic, complemented
46C2×#120×C89C2211yescharacteristic
47C2×#120×C89C2211yescharacteristic
48C2×#120×C89C2211yescharacteristic
49C2×#120×C89C2211yescharacteristic
50C2×C4×D4×C89C2211yescharacteristic
51C2×C4×D4×C89C2211yescharacteristic
52C22×C22⋊C4×C89C2211yescharacteristic
53C22×C22⋊C4×C89C2211yescharacteristic
54C22×C22⋊C4×C89C2211yescharacteristic
55#401×C89C2211yescharacteristic, complemented
56#400×C89C2211yescharacteristic, complemented
57#400×C89C2211yescharacteristic, complemented
58#400×C89C2211yescharacteristic, complemented
59#400×C89C2211yescharacteristic, complemented
60#400×C89C2211yescharacteristic, complemented
61#400×C89C2211yescharacteristic, complemented
62#399×C89C2211yescharacteristic, complemented
63#398×C89C2211yescharacteristic, complemented
64#398×C89C2211yescharacteristic, complemented
65#397×C89C2211yescharacteristic, complemented
66#397×C89C2211yescharacteristic, complemented
67#397×C89C2211yescharacteristic, complemented
68#397×C89C2211yescharacteristic, complemented
69#397×C89C2211yescharacteristic, complemented
70#397×C89C2211yescharacteristic, complemented
71#397×C89C2211yescharacteristic, complemented
72#397×C89C2211yescharacteristic, complemented
73#397×C89C2211yescharacteristic, complemented
74#396×C89C2211yescharacteristic, complemented
75#396×C89C2211yescharacteristic, complemented
76#396×C89C2211yescharacteristic, complemented
77#394×C89C2211yescharacteristic
78#394×C89C2211yescharacteristic
79#394×C89C2211yescharacteristic
80#394×C89C2211yescharacteristic
81#394×C89C2211yescharacteristic
82#394×C89C2211yescharacteristic
83#394×C89C2211yescharacteristic
84#394×C89C2211yescharacteristic
85#394×C89C2211yescharacteristic, complemented
86#394×C89C2211yescharacteristic, complemented
87#394×C89C2211yescharacteristic, complemented
88#394×C89C2211yescharacteristic, complemented
89#394×C89C2211yescharacteristic, complemented
90#394×C89C2211yescharacteristic, complemented
91#394×C89C2211yescharacteristic, complemented
92#393×C89C2211yescharacteristic, complemented
93#393×C89C2211yescharacteristic, complemented
94#392×C89C2211yescharacteristic
95#392×C89C2211yescharacteristic
96#392×C89C2211yescharacteristic
97#392×C89C2211yescharacteristic
98#392×C89C2211yescharacteristic
99#392×C89C2211yescharacteristic
100#392×C89C2211yescharacteristic
101#392×C89C2211yescharacteristic
102#392×C89C2211yescharacteristic, complemented
103#391×C89C2211yescharacteristic, complemented
104#390×C89C2211yescharacteristic, complemented
105#390×C89C2211yescharacteristic, complemented
106#390×C89C2211yescharacteristic, complemented
107#390×C89C2211yescharacteristic, complemented
108#390×C89C2211yescharacteristic, complemented
109#390×C89C2211yescharacteristic, complemented
110#389×C89C2211yescharacteristic, complemented
111#388×C89C2211yescharacteristic, complemented
112#388×C89C2211yescharacteristic, complemented
113#388×C89C2211yescharacteristic, complemented
114#388×C89C2211yescharacteristic, complemented
115#388×C89C2211yescharacteristic, complemented
116#388×C89C2211yescharacteristic, complemented
117#388×C89C2211yescharacteristic, complemented
118#388×C89C2211yescharacteristic, complemented
119#388×C89C2211yescharacteristic, complemented
120#388×C89C2211yescharacteristic, complemented
121#388×C89C2211yescharacteristic, complemented
122#388×C89C2211yescharacteristic, complemented
123#388×C89C2211yescharacteristic, complemented
124#388×C89C2211yescharacteristic, complemented
125#388×C89C2211yescharacteristic, complemented
126#388×C89C2211yescharacteristic, complemented
127#388×C89C2211yescharacteristic, complemented
128#388×C89C2211yescharacteristic, complemented
129#388×C89C2211yescharacteristic, complemented
130#387×C89C2211yescharacteristic, complemented
131#387×C89C2211yescharacteristic, complemented
132#387×C89C2211yescharacteristic, complemented
133#387×C89C2211yescharacteristic, complemented
134#387×C89C2211yescharacteristic, complemented
135#386×C89C2211yescharacteristic
136#386×C89C2211yescharacteristic
137#386×C89C2211yescharacteristic
138#386×C89C2211yescharacteristic
139#386×C89C2211yescharacteristic
140#386×C89C2211yescharacteristic
141#386×C89C2211yescharacteristic
142#386×C89C2211yescharacteristic
143#386×C89C2211yescharacteristic
144#386×C89C2211yescharacteristic
145#386×C89C2211yescharacteristic
146#386×C89C2211yescharacteristic
147#386×C89C2211yescharacteristic, complemented
148#386×C89C2211yescharacteristic, complemented
149#386×C89C2211yescharacteristic, complemented
150#386×C89C2211yescharacteristic, complemented
151#386×C89C2211yescharacteristic, complemented
152#386×C89C2211yescharacteristic, complemented
153#386×C89C2211yescharacteristic, complemented
154#386×C89C2211yescharacteristic, complemented
155#386×C89C2211yescharacteristic, complemented
156#386×C89C2211yescharacteristic, complemented
157#386×C89C2211yescharacteristic, complemented
158#385×C89C2211yescharacteristic
159#385×C89C2211yescharacteristic
160#385×C89C2211yescharacteristic
161#385×C89C2211yescharacteristic
162#385×C89C2211yescharacteristic, complemented
163#385×C89C2211yescharacteristic, complemented
164#385×C89C2211yescharacteristic, complemented
165#385×C89C2211yescharacteristic, complemented
166#385×C89C2211yescharacteristic, complemented
167#383×C89C2211yescharacteristic, complemented
168#382×C89C2211yescharacteristic, complemented
169#381×C89C2211yescharacteristic
170#381×C89C2211yescharacteristic
171#381×C89C2211yescharacteristic, complemented
172#380×C89C2211yescharacteristic
173#380×C89C2211yescharacteristic
174#380×C89C2211yescharacteristic, complemented
175#380×C89C2211yescharacteristic, complemented
176#380×C89C2211yescharacteristic, complemented
177#380×C89C2211yescharacteristic, complemented
178#380×C89C2211yescharacteristic, complemented
179#379×C89C2211yescharacteristic
180#379×C89C2211yescharacteristic
181#379×C89C2211yescharacteristic
182#379×C89C2211yescharacteristic
183C4×C22⋊C4×C89C2211yescharacteristic
184C4×C22⋊C4×C89C2211yescharacteristic
185C2×#95×C89C2211yescharacteristic
186C2×#95×C89C2211yescharacteristic
187C25×C89C2311yescharacteristic
188C25×C89C2311yescharacteristic
189C22×Q8×C89C2311yescharacteristic
190C22×D4×C89—24no—
191C22×D4×C89—42no—
192C22×D4×C89—42no—
193C22×D4×C89C2311yescharacteristic
194C22×D4×C89C2311yescharacteristic
195C22×D4×C89C2311yescharacteristic
196C22×D4×C89C2311yescharacteristic
197C22×D4×C89C2311yescharacteristic
198C22×D4×C89C2311yescharacteristic
199C22×D4×C89C2311yescharacteristic
200C22×D4×C89C2311yescharacteristic
201C22×D4×C89C2311yescharacteristic
202C22×D4×C89C2311yescharacteristic
203C22×D4×C89C2311yescharacteristic
204C22×D4×C89C2311yescharacteristic
205C22×D4×C89C2311yescharacteristic
206C22×D4×C89C2311yescharacteristic
207C22×D4×C89C2311yescharacteristic
208C23×C4×C89—42no—
209C23×C4×C89—42no—
210C23×C4×C89—42no—
211C23×C4×C89C2311yescharacteristic
212C23×C4×C89C2311yescharacteristic
213C23×C4×C89C2311yescharacteristic
214C23×C4×C89C2311yescharacteristic
215C23×C4×C89C2311yescharacteristic
216C23×C4×C89C2311yescharacteristic
217C23×C4×C89C2311yescharacteristic
218C23×C4×C89C2311yescharacteristic
219C23×C4×C89C2311yescharacteristic
220C23×C4×C89C2311yescharacteristic
221C23×C4×C89C2311yescharacteristic
222#126×C89—42no—
223#124×C89—42no—
224#123×C89—42no—
225#123×C89—42no—
226#123×C89—42no—
227C22⋊Q8×C89—42no—
228C22⋊Q8×C89—42no—
229C22⋊Q8×C89—42no—
230#121×C89—42no—
231#121×C89—42no—
232#121×C89—42no—
233#121×C89—42no—
234#120×C89—24no—
235#120×C89—24no—
236#120×C89—42no—
237#120×C89—42no—
238C4×D4×C89—42no—
239C4×D4×C89—42no—
240C2×C4⋊C4×C89C2311yescharacteristic
241C2×C4⋊C4×C89C2311yescharacteristic
242C2×C4⋊C4×C89C2311yescharacteristic
243C2×C4⋊C4×C89C2311yescharacteristic
244C2×C4⋊C4×C89C2311yescharacteristic
245C2×C4⋊C4×C89C2311yescharacteristic
246C2×C4⋊C4×C89C2311yescharacteristic
247C2×C4⋊C4×C89C2311yescharacteristic
248C2×C4⋊C4×C89C2311yescharacteristic
249C2×C4⋊C4×C89C2311yescharacteristic
250C2×C4⋊C4×C89C2311yescharacteristic
251C2×C4⋊C4×C89C2311yescharacteristic
252C2×C4⋊C4×C89C2311yescharacteristic
253C2×C4⋊C4×C89C2311yescharacteristic
254C2×C4⋊C4×C89C2311yescharacteristic
255C2×C4⋊C4×C89C2311yescharacteristic
256C2×C4⋊C4×C89C2311yescharacteristic
257C2×C4⋊C4×C89C2311yescharacteristic
258C2×C4⋊C4×C89C2311yescharacteristic
259C2×C4⋊C4×C89C2311yescharacteristic
260C2×C4⋊C4×C89C2311yescharacteristic
261C2×C4⋊C4×C89C2311yescharacteristic
262C2×C22⋊C4×C89—42no—
263C2×C22⋊C4×C89—42no—
264C2×C22⋊C4×C89—42no—
265C2×C22⋊C4×C89C2311yescharacteristic
266C2×C22⋊C4×C89C2311yescharacteristic
267C2×C22⋊C4×C89C2311yescharacteristic
268C2×C22⋊C4×C89C2311yescharacteristic
269C2×C22⋊C4×C89C2311yescharacteristic
270C2×C22⋊C4×C89C2311yescharacteristic
271C2×C22⋊C4×C89C2311yescharacteristic
272C2×C22⋊C4×C89C2311yescharacteristic
273C2×C22⋊C4×C89C2311yescharacteristic
274C2×C22⋊C4×C89C2311yescharacteristic
275C2×C22⋊C4×C89C2311yescharacteristic
276C2×C22⋊C4×C89C2311yescharacteristic
277C2×C22⋊C4×C89C2311yescharacteristic
278C2×C22⋊C4×C89C2311yescharacteristic
279C2×C22⋊C4×C89C2311yescharacteristic
280C2×C22⋊C4×C89C2311yescharacteristic
281C2×C22⋊C4×C89C2311yescharacteristic
282C2×C22⋊C4×C89C2311yescharacteristic
283C2×C22⋊C4×C89C2311yescharacteristic
284C2×C22⋊C4×C89C2311yescharacteristic
285C2×C22⋊C4×C89C2311yescharacteristic
286C2×C22⋊C4×C89C2311yescharacteristic
287C2×C22⋊C4×C89C2311yescharacteristic
288C2×C22⋊C4×C89C2311yescharacteristic
289C2×C22⋊C4×C89C2311yescharacteristic
290C2×C22⋊C4×C89C2311yescharacteristic
291C2×C22⋊C4×C89C2311yescharacteristic
292C2×C22⋊C4×C89C2311yescharacteristic
293C2×C22⋊C4×C89C2311yescharacteristic
294C2×C22⋊C4×C89C2311yescharacteristic
295C2×C22⋊C4×C89C2311yescharacteristic
296C2×C22⋊C4×C89C2311yescharacteristic
297C2×C22⋊C4×C89C2311yescharacteristic
298C2×C22⋊C4×C89C2311yescharacteristic
299C2×C22⋊C4×C89C2311yescharacteristic
300C2×C22⋊C4×C89C2311yescharacteristic
301C2×C22⋊C4×C89C2311yescharacteristic
302C2×C22⋊C4×C89C2311yescharacteristic
303C2×C22⋊C4×C89C2311yescharacteristic
304C2×C22⋊C4×C89C2311yescharacteristic
305C2×C22⋊C4×C89C2311yescharacteristic
306C2×C22⋊C4×C89C2311yescharacteristic
307C2×C22⋊C4×C89C2311yescharacteristic
308C2×C22⋊C4×C89C2311yescharacteristic
309C2×C22⋊C4×C89C2311yescharacteristic
310C2×C22⋊C4×C89C2311yescharacteristic
311C2×C22⋊C4×C89C2311yescharacteristic
312C2×C22⋊C4×C89C2311yescharacteristic
313C2×C22⋊C4×C89C2311yescharacteristic
314C2×C22⋊C4×C89C2311yescharacteristic
315C2×C22⋊C4×C89C2311yescharacteristic
316C2×C22⋊C4×C89C2311yescharacteristic
317C2×C22⋊C4×C89C2311yescharacteristic
318C2×C22⋊C4×C89C2311yescharacteristic
319C2×C22⋊C4×C89C2311yescharacteristic
320C2×C22⋊C4×C89C2311yescharacteristic
321C2×C22⋊C4×C89C2311yescharacteristic
322C2×C22⋊C4×C89C2311yescharacteristic
323C2×C42×C89C2311yescharacteristic
324C2×C42×C89C2311yescharacteristic
325C2×C42×C89C2311yescharacteristic
326C2×C42×C89C2311yescharacteristic
327C2×C42×C89C2311yescharacteristic
328C2×C42×C89C2311yescharacteristic
329#95×C89C2311yescharacteristic
330#95×C89C2311yescharacteristic
331#95×C89C2311yescharacteristic
332#95×C89C2311yescharacteristic
333#95×C89C2311yescharacteristic
334#95×C89C2311yescharacteristic
335#95×C89C2311yescharacteristic
336#95×C89C2311yescharacteristic
337#95×C89C2311yescharacteristic
338#95×C89C2311yescharacteristic
339#95×C89C2311yescharacteristic
340#95×C89C2311yescharacteristic
341#95×C89C2311yescharacteristic
342#95×C89C2311yescharacteristic
343#95×C89C2311yescharacteristic
344#95×C89C2311yescharacteristic
345#95×C89C2311yescharacteristic
346#95×C89C2311yescharacteristic
347#95×C89C2311yescharacteristic
348#95×C89C2311yescharacteristic
349#95×C89C2311yescharacteristic
350#95×C89C2311yescharacteristic
351#95×C89C2311yescharacteristic
352#95×C89C2311yescharacteristic
353#95×C89C2311yescharacteristic
354#95×C89C2311yescharacteristic
355#95×C89C2311yescharacteristic
356#95×C89C2311yescharacteristic
357#95×C89C2311yescharacteristic
358#95×C89C2311yescharacteristic
359#95×C89C2311yescharacteristic
360#95×C89C2311yescharacteristic
361#95×C89C2311yescharacteristic
362#95×C89C2311yescharacteristic
363#95×C89C2311yescharacteristic
364#95×C89C2311yescharacteristic
365#95×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C24×C89—22no—
370C24×C89—22no—
371C24×C89—22no—
372C24×C89—22no—
373C24×C89—22no—
374C24×C89—41no—
375C24×C89—41no—
376C24×C89—41no—
377C24×C89—41no—
378C24×C89—41no—
379C24×C89—41no—
380C24×C89—41no—
381C24×C89—41no—
382C24×C89#4114yes—
383C24×C89C2411yescharacteristic
384C24×C89C2411yescharacteristic
385C24×C89C2411yescharacteristic
386C24×C89C2411yescharacteristic
387C24×C89C2411yescharacteristic
388C24×C89C2411yescharacteristic
389C24×C89C2411yescharacteristic
390C2×Q8×C89—22no—
391C2×Q8×C89—41no—
392C2×Q8×C89—41no—
393C2×D4×C89—22no—
394C2×D4×C89—22no—
395C2×D4×C89—22no—
396C2×D4×C89—22no—
397C2×D4×C89—22no—
398C2×D4×C89—22no—
399C2×D4×C89—22no—
400C2×D4×C89—22no—
401C2×D4×C89—22no—
402C2×D4×C89—22no—
403C2×D4×C89—22no—
404C2×D4×C89—22no—
405C2×D4×C89—22no—
406C2×D4×C89—22no—
407C2×D4×C89—22no—
408C2×D4×C89—41no—
409C2×D4×C89—41no—
410C2×D4×C89—41no—
411C2×D4×C89—41no—
412C2×D4×C89—41no—
413C2×D4×C89—41no—
414C2×D4×C89—41no—
415C2×D4×C89—41no—
416C2×D4×C89—41no—
417C2×D4×C89—41no—
418C2×D4×C89—41no—
419C2×D4×C89—41no—
420C2×D4×C89—41no—
421C2×D4×C89—41no—
422C2×D4×C89—41no—
423C2×D4×C89—41no—
424C2×D4×C89—41no—
425C2×D4×C89—41no—
426C2×D4×C89—41no—
427C2×D4×C89—41no—
428C2×D4×C89—41no—
429C2×D4×C89—41no—
430C2×D4×C89—41no—
431C2×D4×C89—41no—
432C2×D4×C89—41no—
433C2×D4×C89—41no—
434C2×D4×C89—41no—
435C2×D4×C89—41no—
436C2×D4×C89—41no—
437C2×D4×C89—41no—
438C2×D4×C89—416no—
439C22×C4×C89—22no—
440C22×C4×C89—22no—
441C22×C4×C89—22no—
442C22×C4×C89—22no—
443C22×C4×C89—22no—
444C22×C4×C89—22no—
445C22×C4×C89—22no—
446C22×C4×C89—22no—
447C22×C4×C89—22no—
448C22×C4×C89—22no—
449C22×C4×C89—22no—
450C22×C4×C89—22no—
451C22×C4×C89—22no—
452C22×C4×C89—41no—
453C22×C4×C89—41no—
454C22×C4×C89—41no—
455C22×C4×C89—41no—
456C22×C4×C89—41no—
457C22×C4×C89—41no—
458C22×C4×C89—41no—
459C22×C4×C89—41no—
460C22×C4×C89—41no—
461C22×C4×C89—41no—
462C22×C4×C89—41no—
463C22×C4×C89—41no—
464C22×C4×C89—41no—
465C22×C4×C89—41no—
466C22×C4×C89—41no—
467C22×C4×C89—41no—
468C22×C4×C89—41no—
469C22×C4×C89—41no—
470C22×C4×C89—41no—
471C22×C4×C89—41no—
472C22×C4×C89—416no—
473C22×C4×C89C2411yescharacteristic
474C22×C4×C89C2411yescharacteristic
475C22×C4×C89C2411yescharacteristic
476C22×C4×C89C2411yescharacteristic
477C22×C4×C89C2411yescharacteristic
478C22×C4×C89C2411yescharacteristic
479C22×C4×C89C2411yescharacteristic
480C22×C4×C89C2411yescharacteristic
481C22×C4×C89C2411yescharacteristic
482C22×C4×C89C2411yescharacteristic
483C22×C4×C89C2411yescharacteristic
484C22×C4×C89C2411yescharacteristic
485C22×C4×C89C2411yescharacteristic
486C22×C4×C89C2411yescharacteristic
487C22×C4×C89C2411yescharacteristic
488C22×C4×C89C2411yescharacteristic
489C22×C4×C89C2411yescharacteristic
490C22×C4×C89C2411yescharacteristic
491C22×C4×C89C2411yescharacteristic
492C22×C4×C89C2411yescharacteristic
493C22×C4×C89C2411yescharacteristic
494C22×C4×C89C2411yescharacteristic
495C22×C4×C89C2411yescharacteristic
496C22×C4×C89C2411yescharacteristic
497C4⋊C4×C89—22no—
498C4⋊C4×C89—22no—
499C4⋊C4×C89—22no—
500C4⋊C4×C89—22no—
501C4⋊C4×C89—41no—
502C4⋊C4×C89—41no—
503C4⋊C4×C89—41no—
504C4⋊C4×C89—41no—
505C4⋊C4×C89—41no—
506C4⋊C4×C89—41no—
507C4⋊C4×C89—41no—
508C4⋊C4×C89—41no—
509C4⋊C4×C89—41no—
510C4⋊C4×C89—41no—
511C4⋊C4×C89—41no—
512C4⋊C4×C89—41no—
513C4⋊C4×C89—41no—
514C4⋊C4×C89—41no—
515C4⋊C4×C89—41no—
516C4⋊C4×C89—41no—
517C4⋊C4×C89—41no—
518C4⋊C4×C89—41no—
519C22⋊C4×C89—22no—
520C22⋊C4×C89—22no—
521C22⋊C4×C89—22no—
522C22⋊C4×C89—22no—
523C22⋊C4×C89—22no—
524C22⋊C4×C89—22no—
525C22⋊C4×C89—22no—
526C22⋊C4×C89—22no—
527C22⋊C4×C89—22no—
528C22⋊C4×C89—22no—
529C22⋊C4×C89—22no—
530C22⋊C4×C89—22no—
531C22⋊C4×C89—22no—
532C22⋊C4×C89—22no—
533C22⋊C4×C89—22no—
534C22⋊C4×C89—22no—
535C22⋊C4×C89—41no—
536C22⋊C4×C89—41no—
537C22⋊C4×C89—41no—
538C22⋊C4×C89—41no—
539C22⋊C4×C89—41no—
540C22⋊C4×C89—41no—
541C22⋊C4×C89—41no—
542C22⋊C4×C89—41no—
543C22⋊C4×C89—41no—
544C22⋊C4×C89—41no—
545C22⋊C4×C89—41no—
546C22⋊C4×C89—41no—
547C22⋊C4×C89—41no—
548C22⋊C4×C89—41no—
549C22⋊C4×C89—41no—
550C22⋊C4×C89—41no—
551C22⋊C4×C89—41no—
552C22⋊C4×C89—41no—
553C22⋊C4×C89—41no—
554C22⋊C4×C89—41no—
555C22⋊C4×C89—41no—
556C22⋊C4×C89—41no—
557C22⋊C4×C89—41no—
558C22⋊C4×C89—41no—
559C22⋊C4×C89—41no—
560C22⋊C4×C89—41no—
561C22⋊C4×C89—41no—
562C22⋊C4×C89—41no—
563C22⋊C4×C89—41no—
564C22⋊C4×C89—41no—
565C22⋊C4×C89—41no—
566C22⋊C4×C89—41no—
567C22⋊C4×C89—41no—
568C22⋊C4×C89—41no—
569C22⋊C4×C89—41no—
570C22⋊C4×C89—41no—
571C22⋊C4×C89—41no—
572C22⋊C4×C89—41no—
573C22⋊C4×C89—41no—
574C22⋊C4×C89—41no—
575C22⋊C4×C89—41no—
576C22⋊C4×C89—41no—
577C42×C89—41no—
578C42×C89—41no—
579C42×C89—41no—
580C42×C89—41no—
581C42×C89—41no—
582C42×C89—41no—
583C23×C89—21no—
584C23×C89—21no—
585C23×C89—21no—
586C23×C89—21no—
587C23×C89—28no—
588C23×C89—21no—
589C23×C89—21no—
590C23×C89—21no—
591C23×C89—21no—
592C23×C89—21no—
593C23×C89—21no—
594C23×C89—21no—
595C23×C89—21no—
596C23×C89—21no—
597C23×C89—21no—
598C23×C89—21no—
599C23×C89—21no—
600C23×C89—21no—
601C23×C89—21no—
602C23×C89—21no—
603C23×C89—21no—
604C23×C89—21no—
605C23×C89—21no—
606C23×C89—21no—
607C23×C89—21no—
608C23×C89—21no—
609C23×C89—21no—
610C23×C89—21no—
611C23×C89—21no—
612C23×C89—21no—
613C23×C89—21no—
614C23×C89—21no—
615C23×C89—21no—
616C23×C89—21no—
617C23×C89—21no—
618C23×C89—21no—
619C23×C89—21no—
620C23×C89—21no—
621C23×C89—21no—
622C23×C89—21no—
623C23×C89—21no—
624C23×C89—21no—
625C23×C89—21no—
626C23×C89—21no—
627C23×C89—21no—
628C23×C89—44no—
629C23×C89—44no—
630C23×C89—44no—
631C23×C89—44no—
632C23×C89—44no—
633C23×C89—44no—
634C23×C89—44no—
635C23×C89—44no—
636C23×C89—44no—
637C23×C89—82no—
638C23×C89—82no—
639C23×C89—82no—
640C23×C89—82no—
641C23×C89C2×#4112yes—
642C23×C89C2×#4112yes—
643C23×C89C2×#4112yes—
644C23×C89H(5,𝔽2)12yes—
645C23×C89H(5,𝔽2)12yes—
646C23×C89C2511yescharacteristic
647Q8×C89—82no—
648D4×C89—44no—
649D4×C89—44no—
650D4×C89—44no—
651D4×C89—44no—
652D4×C89—44no—
653D4×C89—44no—
654D4×C89—82no—
655D4×C89—82no—
656D4×C89—82no—
657D4×C89—82no—
658D4×C89—82no—
659D4×C89—82no—
660D4×C89—82no—
661D4×C89—82no—
662D4×C89—82no—
663C2×C4×C89—21no—
664C2×C4×C89—21no—
665C2×C4×C89—21no—
666C2×C4×C89—21no—
667C2×C4×C89—21no—
668C2×C4×C89—21no—
669C2×C4×C89—21no—
670C2×C4×C89—21no—
671C2×C4×C89—21no—
672C2×C4×C89—21no—
673C2×C4×C89—21no—
674C2×C4×C89—21no—
675C2×C4×C89—21no—
676C2×C4×C89—21no—
677C2×C4×C89—21no—
678C2×C4×C89—21no—
679C2×C4×C89—21no—
680C2×C4×C89—21no—
681C2×C4×C89—21no—
682C2×C4×C89—21no—
683C2×C4×C89—21no—
684C2×C4×C89—21no—
685C2×C4×C89—21no—
686C2×C4×C89—21no—
687C2×C4×C89—21no—
688C2×C4×C89—21no—
689C2×C4×C89—21no—
690C2×C4×C89—21no—
691C2×C4×C89—21no—
692C2×C4×C89—21no—
693C2×C4×C89—21no—
694C2×C4×C89—21no—
695C2×C4×C89—21no—
696C2×C4×C89—21no—
697C2×C4×C89—21no—
698C2×C4×C89—21no—
699C2×C4×C89—21no—
700C2×C4×C89—21no—
701C2×C4×C89—21no—
702C2×C4×C89—21no—
703C2×C4×C89—21no—
704C2×C4×C89—21no—
705C2×C4×C89—21no—
706C2×C4×C89—21no—
707C2×C4×C89—21no—
708C2×C4×C89—21no—
709C2×C4×C89—21no—
710C2×C4×C89—21no—
711C2×C4×C89—21no—
712C2×C4×C89—21no—
713C2×C4×C89—21no—
714C2×C4×C89—21no—
715C2×C4×C89—21no—
716C2×C4×C89—21no—
717C2×C4×C89—21no—
718C2×C4×C89—21no—
719C2×C4×C89—21no—
720C2×C4×C89—21no—
721C2×C4×C89—21no—
722C2×C4×C89—21no—
723C2×C4×C89—21no—
724C2×C4×C89—21no—
725C2×C4×C89—21no—
726C2×C4×C89—21no—
727C2×C4×C89—21no—
728C2×C4×C89—21no—
729C2×C4×C89—21no—
730C2×C4×C89—21no—
731C2×C4×C89—21no—
732C2×C4×C89—21no—
733C2×C4×C89—44no—
734C2×C4×C89—44no—
735C2×C4×C89—44no—
736C2×C4×C89—44no—
737C2×C4×C89—44no—
738C2×C4×C89—44no—
739C2×C4×C89—44no—
740C2×C4×C89—82no—
741C2×C4×C89—82no—
742C2×C4×C89—82no—
743C2×C4×C89—82no—
744C2×C4×C89H(5,𝔽2)12yes—
745C2×C4×C89H(5,𝔽2)12yes—
746C22×C89—22no—
747C22×C89—22no—
748C22×C89—22no—
749C22×C89—22no—
750C22×C89—22no—
751C22×C89—22no—
752C22×C89—22no—
753C22×C89—22no—
754C22×C89—22no—
755C22×C89—22no—
756C22×C89—22no—
757C22×C89—22no—
758C22×C89—416no—
759C22×C89—41no—
760C22×C89—41no—
761C22×C89—41no—
762C22×C89—41no—
763C22×C89—41no—
764C22×C89—41no—
765C22×C89—41no—
766C22×C89—41no—
767C22×C89—41no—
768C22×C89—41no—
769C22×C89—41no—
770C22×C89—41no—
771C22×C89—41no—
772C22×C89—41no—
773C22×C89—41no—
774C22×C89—41no—
775C22×C89—41no—
776C22×C89—41no—
777C22×C89—41no—
778C22×C89—41no—
779C22×C89—41no—
780C22×C89—41no—
781C22×C89—41no—
782C22×C89—41no—
783C22×C89—41no—
784C22×C89—41no—
785C22×C89—41no—
786C22×C89—41no—
787C22×C89—41no—
788C22×C89—41no—
789C22×C89—41no—
790C22×C89—41no—
791C22×C89—41no—
792C22×C89—41no—
793C22×C89—41no—
794C22×C89—41no—
795C22×C89—88no—
796C22×C89#53814yes—
797C22×C89C22×#4111yescharacteristic
798C22×C89C2×H(5,𝔽2)11yescharacteristic
799C22×C89C2×H(5,𝔽2)11yescharacteristic
800C22×C89C2×H(5,𝔽2)11yescharacteristic
801C22×C89C2×H(5,𝔽2)11yescharacteristic
802C22×C89#58511yescharacteristic
803C22×C89#58511yescharacteristic
804C4×C89—22no—
805C4×C89—22no—
806C4×C89—41no—
807C4×C89—41no—
808C4×C89—41no—
809C4×C89—41no—
810C4×C89—41no—
811C4×C89—41no—
812C4×C89—41no—
813C4×C89—41no—
814C4×C89—41no—
815C4×C89—41no—
816C4×C89—41no—
817C4×C89—41no—
818C4×C89—41no—
819C4×C89—41no—
820C4×C89—41no—
821C4×C89—41no—
822C4×C89—41no—
823C4×C89—41no—
824C4×C89—41no—
825C4×C89—41no—
826C4×C89—41no—
827C4×C89—41no—
828#36758C8911yesmaximal, characteristic, direct product factor, Sylow
829C2×C89—24no—
830C2×C89—42no—
831C2×C89—42no—
832C2×C89—81no—
833C2×C89—81no—
834C2×C89—81no—
835C2×C89—81no—
836C2×C89C2×#53811yescharacteristic
837C2×C89#350511yescharacteristic
838C2×C89#350511yescharacteristic
839C2×C89#353211yescharacteristic
840C2×C89#353311yescharacteristic
841C2×C89#354211yescharacteristic
842C2×C89#354211yescharacteristic
843#2848C2×C8911yescharacteristic, complemented
844#2847C2×C8911yescharacteristic, complemented
845#2797C2×C8911yescharacteristic, complemented
846#2781C2×C8911yescharacteristic, complemented
847#2779C2×C8911yescharacteristic, complemented
848#2778C2×C8911yescharacteristic, complemented
849#2778C2×C8911yescharacteristic, complemented
850#2756C2×C8911yescharacteristic, complemented
851#2753C2×C8911yescharacteristic, complemented
852#2749C2×C8911yescharacteristic, complemented
853#2741C2×C8911yescharacteristic, complemented
854#2730C2×C8911yescharacteristic, complemented
855#2714C2×C8911yescharacteristic, complemented
856#2703C2×C8911yescharacteristic, complemented
857#2702C2×C8911yescharacteristic, complemented
858#2696C2×C8911yescharacteristic, complemented
859#2688C2×C8911yescharacteristic, complemented
860#2676C2×C8911yescharacteristic, complemented
861#2613C2×C8911yescharacteristic, complemented
862#2613C2×C8911yescharacteristic, complemented
863#2493C2×C8911yescharacteristic, complemented
864#2488C2×C8911yescharacteristic, complemented
865#2480C2×C8911yescharacteristic, complemented
866#2472C2×C8911yescharacteristic, complemented
867#2425C2×C8911yescharacteristic, complemented
868#2424C2×C8911yescharacteristic, complemented
869#2419C2×C8911yescharacteristic, complemented
870#2418C2×C8911yescharacteristic, complemented
871#2321C2×C8911yescharacteristic, complemented
872#2321C2×C8911yescharacteristic, complemented
873C2×#386C2×C8911yescharacteristic, complemented
874C89#3675811yescharacteristic, direct product factor, Sylow
875C23×D4C22×C8911yescharacteristic
876C24×C4C22×C8911yescharacteristic
877C2×#126C22×C8911yescharacteristic, complemented
878C2×#124C22×C8911yescharacteristic, complemented
879C2×#123C22×C8911yescharacteristic
880C2×#123C22×C8911yescharacteristic
881C2×#123C22×C8911yescharacteristic, complemented
882C2×C22⋊Q8C22×C8911yescharacteristic
883C2×C22⋊Q8C22×C8911yescharacteristic, complemented
884C2×C22⋊Q8C22×C8911yescharacteristic, complemented
885C2×#121C22×C8911yescharacteristic
886C2×#121C22×C8911yescharacteristic, complemented
887C2×#121C22×C8911yescharacteristic, complemented
888C2×#121C22×C8911yescharacteristic, complemented
889C2×#120C22×C8911yescharacteristic
890C2×#120C22×C8911yescharacteristic
891C2×#120C22×C8911yescharacteristic
892C2×#120C22×C8911yescharacteristic
893C2×C4×D4C22×C8911yescharacteristic
894C2×C4×D4C22×C8911yescharacteristic
895C22×C22⋊C4C22×C8911yescharacteristic
896C22×C22⋊C4C22×C8911yescharacteristic
897C22×C22⋊C4C22×C8911yescharacteristic
898#401C22×C8911yescharacteristic, complemented
899#400C22×C8911yescharacteristic, complemented
900#400C22×C8911yescharacteristic, complemented
901#400C22×C8911yescharacteristic, complemented
902#400C22×C8911yescharacteristic, complemented
903#400C22×C8911yescharacteristic, complemented
904#400C22×C8911yescharacteristic, complemented
905#399C22×C8911yescharacteristic, complemented
906#398C22×C8911yescharacteristic, complemented
907#398C22×C8911yescharacteristic, complemented
908#397C22×C8911yescharacteristic, complemented
909#397C22×C8911yescharacteristic, complemented
910#397C22×C8911yescharacteristic, complemented
911#397C22×C8911yescharacteristic, complemented
912#397C22×C8911yescharacteristic, complemented
913#397C22×C8911yescharacteristic, complemented
914#397C22×C8911yescharacteristic, complemented
915#397C22×C8911yescharacteristic, complemented
916#397C22×C8911yescharacteristic, complemented
917#396C22×C8911yescharacteristic, complemented
918#396C22×C8911yescharacteristic, complemented
919#396C22×C8911yescharacteristic, complemented
920#394C22×C8911yescharacteristic
921#394C22×C8911yescharacteristic
922#394C22×C8911yescharacteristic
923#394C22×C8911yescharacteristic
924#394C22×C8911yescharacteristic
925#394C22×C8911yescharacteristic
926#394C22×C8911yescharacteristic
927#394C22×C8911yescharacteristic
928#394C22×C8911yescharacteristic, complemented
929#394C22×C8911yescharacteristic, complemented
930#394C22×C8911yescharacteristic, complemented
931#394C22×C8911yescharacteristic, complemented
932#394C22×C8911yescharacteristic, complemented
933#394C22×C8911yescharacteristic, complemented
934#394C22×C8911yescharacteristic, complemented
935#393C22×C8911yescharacteristic, complemented
936#393C22×C8911yescharacteristic, complemented
937#392C22×C8911yescharacteristic
938#392C22×C8911yescharacteristic
939#392C22×C8911yescharacteristic
940#392C22×C8911yescharacteristic
941#392C22×C8911yescharacteristic
942#392C22×C8911yescharacteristic
943#392C22×C8911yescharacteristic
944#392C22×C8911yescharacteristic
945#392C22×C8911yescharacteristic, complemented
946#391C22×C8911yescharacteristic, complemented
947#390C22×C8911yescharacteristic, complemented
948#390C22×C8911yescharacteristic, complemented
949#390C22×C8911yescharacteristic, complemented
950#390C22×C8911yescharacteristic, complemented
951#390C22×C8911yescharacteristic, complemented
952#390C22×C8911yescharacteristic, complemented
953#389C22×C8911yescharacteristic, complemented
954#388C22×C8911yescharacteristic, complemented
955#388C22×C8911yescharacteristic, complemented
956#388C22×C8911yescharacteristic, complemented
957#388C22×C8911yescharacteristic, complemented
958#388C22×C8911yescharacteristic, complemented
959#388C22×C8911yescharacteristic, complemented
960#388C22×C8911yescharacteristic, complemented
961#388C22×C8911yescharacteristic, complemented
962#388C22×C8911yescharacteristic, complemented
963#388C22×C8911yescharacteristic, complemented
964#388C22×C8911yescharacteristic, complemented
965#388C22×C8911yescharacteristic, complemented
966#388C22×C8911yescharacteristic, complemented
967#388C22×C8911yescharacteristic, complemented
968#388C22×C8911yescharacteristic, complemented
969#388C22×C8911yescharacteristic, complemented
970#388C22×C8911yescharacteristic, complemented
971#388C22×C8911yescharacteristic, complemented
972#388C22×C8911yescharacteristic, complemented
973#387C22×C8911yescharacteristic, complemented
974#387C22×C8911yescharacteristic, complemented
975#387C22×C8911yescharacteristic, complemented
976#387C22×C8911yescharacteristic, complemented
977#387C22×C8911yescharacteristic, complemented
978#386C22×C8911yescharacteristic
979#386C22×C8911yescharacteristic
980#386C22×C8911yescharacteristic
981#386C22×C8911yescharacteristic
982#386C22×C8911yescharacteristic
983#386C22×C8911yescharacteristic
984#386C22×C8911yescharacteristic
985#386C22×C8911yescharacteristic
986#386C22×C8911yescharacteristic
987#386C22×C8911yescharacteristic
988#386C22×C8911yescharacteristic
989#386C22×C8911yescharacteristic
990#386C22×C8911yescharacteristic, complemented
991#386C22×C8911yescharacteristic, complemented
992#386C22×C8911yescharacteristic, complemented
993#386C22×C8911yescharacteristic, complemented
994#386C22×C8911yescharacteristic, complemented
995#386C22×C8911yescharacteristic, complemented
996#386C22×C8911yescharacteristic, complemented
997#386C22×C8911yescharacteristic, complemented
998#386C22×C8911yescharacteristic, complemented
999#386C22×C8911yescharacteristic, complemented
1000#386C22×C8911yescharacteristic, complemented
1001#385C22×C8911yescharacteristic
1002#385C22×C8911yescharacteristic
1003#385C22×C8911yescharacteristic
1004#385C22×C8911yescharacteristic
1005#385C22×C8911yescharacteristic, complemented
1006#385C22×C8911yescharacteristic, complemented
1007#385C22×C8911yescharacteristic, complemented
1008#385C22×C8911yescharacteristic, complemented
1009#385C22×C8911yescharacteristic, complemented
1010#383C22×C8911yescharacteristic, complemented
1011#382C22×C8911yescharacteristic, complemented
1012#381C22×C8911yescharacteristic
1013#381C22×C8911yescharacteristic
1014#381C22×C8911yescharacteristic, complemented
1015#380C22×C8911yescharacteristic
1016#380C22×C8911yescharacteristic
1017#380C22×C8911yescharacteristic, complemented
1018#380C22×C8911yescharacteristic, complemented
1019#380C22×C8911yescharacteristic, complemented
1020#380C22×C8911yescharacteristic, complemented
1021#380C22×C8911yescharacteristic, complemented
1022#379C22×C8911yescharacteristic
1023#379C22×C8911yescharacteristic
1024#379C22×C8911yescharacteristic
1025#379C22×C8911yescharacteristic
1026C4×C22⋊C4C22×C8911yescharacteristic
1027C4×C22⋊C4C22×C8911yescharacteristic
1028C2×#95C22×C8911yescharacteristic
1029C2×#95C22×C8911yescharacteristic
1030C25C23×C8911yescharacteristic
1031C25C23×C8911yescharacteristic
1032C22×Q8C23×C8911yescharacteristic
1033C22×D4—24no—
1034C22×D4—42no—
1035C22×D4—42no—
1036C22×D4C23×C8911yescharacteristic
1037C22×D4C23×C8911yescharacteristic
1038C22×D4C23×C8911yescharacteristic
1039C22×D4C23×C8911yescharacteristic
1040C22×D4C23×C8911yescharacteristic
1041C22×D4C23×C8911yescharacteristic
1042C22×D4C23×C8911yescharacteristic
1043C22×D4C23×C8911yescharacteristic
1044C22×D4C23×C8911yescharacteristic
1045C22×D4C23×C8911yescharacteristic
1046C22×D4C23×C8911yescharacteristic
1047C22×D4C23×C8911yescharacteristic
1048C22×D4C23×C8911yescharacteristic
1049C22×D4C23×C8911yescharacteristic
1050C22×D4C23×C8911yescharacteristic
1051C23×C4—42no—
1052C23×C4—42no—
1053C23×C4—42no—
1054C23×C4C23×C8911yescharacteristic
1055C23×C4C23×C8911yescharacteristic
1056C23×C4C23×C8911yescharacteristic
1057C23×C4C23×C8911yescharacteristic
1058C23×C4C23×C8911yescharacteristic
1059C23×C4C23×C8911yescharacteristic
1060C23×C4C23×C8911yescharacteristic
1061C23×C4C23×C8911yescharacteristic
1062C23×C4C23×C8911yescharacteristic
1063C23×C4C23×C8911yescharacteristic
1064C23×C4C23×C8911yescharacteristic
1065#126—42no—
1066#124—42no—
1067#123—42no—
1068#123—42no—
1069#123—42no—
1070C22⋊Q8—42no—
1071C22⋊Q8—42no—
1072C22⋊Q8—42no—
1073#121—42no—
1074#121—42no—
1075#121—42no—
1076#121—42no—
1077#120—24no—
1078#120—24no—
1079#120—42no—
1080#120—42no—
1081C4×D4—42no—
1082C4×D4—42no—
1083C2×C4⋊C4C23×C8911yescharacteristic
1084C2×C4⋊C4C23×C8911yescharacteristic
1085C2×C4⋊C4C23×C8911yescharacteristic
1086C2×C4⋊C4C23×C8911yescharacteristic
1087C2×C4⋊C4C23×C8911yescharacteristic
1088C2×C4⋊C4C23×C8911yescharacteristic
1089C2×C4⋊C4C23×C8911yescharacteristic
1090C2×C4⋊C4C23×C8911yescharacteristic
1091C2×C4⋊C4C23×C8911yescharacteristic
1092C2×C4⋊C4C23×C8911yescharacteristic
1093C2×C4⋊C4C23×C8911yescharacteristic
1094C2×C4⋊C4C23×C8911yescharacteristic
1095C2×C4⋊C4C23×C8911yescharacteristic
1096C2×C4⋊C4C23×C8911yescharacteristic
1097C2×C4⋊C4C23×C8911yescharacteristic
1098C2×C4⋊C4C23×C8911yescharacteristic
1099C2×C4⋊C4C23×C8911yescharacteristic
1100C2×C4⋊C4C23×C8911yescharacteristic
1101C2×C4⋊C4C23×C8911yescharacteristic
1102C2×C4⋊C4C23×C8911yescharacteristic
1103C2×C4⋊C4C23×C8911yescharacteristic
1104C2×C4⋊C4C23×C8911yescharacteristic
1105C2×C22⋊C4—42no—
1106C2×C22⋊C4—42no—
1107C2×C22⋊C4—42no—
1108C2×C22⋊C4C23×C8911yescharacteristic
1109C2×C22⋊C4C23×C8911yescharacteristic
1110C2×C22⋊C4C23×C8911yescharacteristic
1111C2×C22⋊C4C23×C8911yescharacteristic
1112C2×C22⋊C4C23×C8911yescharacteristic
1113C2×C22⋊C4C23×C8911yescharacteristic
1114C2×C22⋊C4C23×C8911yescharacteristic
1115C2×C22⋊C4C23×C8911yescharacteristic
1116C2×C22⋊C4C23×C8911yescharacteristic
1117C2×C22⋊C4C23×C8911yescharacteristic
1118C2×C22⋊C4C23×C8911yescharacteristic
1119C2×C22⋊C4C23×C8911yescharacteristic
1120C2×C22⋊C4C23×C8911yescharacteristic
1121C2×C22⋊C4C23×C8911yescharacteristic
1122C2×C22⋊C4C23×C8911yescharacteristic
1123C2×C22⋊C4C23×C8911yescharacteristic
1124C2×C22⋊C4C23×C8911yescharacteristic
1125C2×C22⋊C4C23×C8911yescharacteristic
1126C2×C22⋊C4C23×C8911yescharacteristic
1127C2×C22⋊C4C23×C8911yescharacteristic
1128C2×C22⋊C4C23×C8911yescharacteristic
1129C2×C22⋊C4C23×C8911yescharacteristic
1130C2×C22⋊C4C23×C8911yescharacteristic
1131C2×C22⋊C4C23×C8911yescharacteristic
1132C2×C22⋊C4C23×C8911yescharacteristic
1133C2×C22⋊C4C23×C8911yescharacteristic
1134C2×C22⋊C4C23×C8911yescharacteristic
1135C2×C22⋊C4C23×C8911yescharacteristic
1136C2×C22⋊C4C23×C8911yescharacteristic
1137C2×C22⋊C4C23×C8911yescharacteristic
1138C2×C22⋊C4C23×C8911yescharacteristic
1139C2×C22⋊C4C23×C8911yescharacteristic
1140C2×C22⋊C4C23×C8911yescharacteristic
1141C2×C22⋊C4C23×C8911yescharacteristic
1142C2×C22⋊C4C23×C8911yescharacteristic
1143C2×C22⋊C4C23×C8911yescharacteristic
1144C2×C22⋊C4C23×C8911yescharacteristic
1145C2×C22⋊C4C23×C8911yescharacteristic
1146C2×C22⋊C4C23×C8911yescharacteristic
1147C2×C22⋊C4C23×C8911yescharacteristic
1148C2×C22⋊C4C23×C8911yescharacteristic
1149C2×C22⋊C4C23×C8911yescharacteristic
1150C2×C22⋊C4C23×C8911yescharacteristic
1151C2×C22⋊C4C23×C8911yescharacteristic
1152C2×C22⋊C4C23×C8911yescharacteristic
1153C2×C22⋊C4C23×C8911yescharacteristic
1154C2×C22⋊C4C23×C8911yescharacteristic
1155C2×C22⋊C4C23×C8911yescharacteristic
1156C2×C22⋊C4C23×C8911yescharacteristic
1157C2×C22⋊C4C23×C8911yescharacteristic
1158C2×C22⋊C4C23×C8911yescharacteristic
1159C2×C22⋊C4C23×C8911yescharacteristic
1160C2×C22⋊C4C23×C8911yescharacteristic
1161C2×C22⋊C4C23×C8911yescharacteristic
1162C2×C22⋊C4C23×C8911yescharacteristic
1163C2×C22⋊C4C23×C8911yescharacteristic
1164C2×C22⋊C4C23×C8911yescharacteristic
1165C2×C22⋊C4C23×C8911yescharacteristic
1166C2×C42C23×C8911yescharacteristic
1167C2×C42C23×C8911yescharacteristic
1168C2×C42C23×C8911yescharacteristic
1169C2×C42C23×C8911yescharacteristic
1170C2×C42C23×C8911yescharacteristic
1171C2×C42C23×C8911yescharacteristic
1172#95C23×C8911yescharacteristic
1173#95C23×C8911yescharacteristic
1174#95C23×C8911yescharacteristic
1175#95C23×C8911yescharacteristic
1176#95C23×C8911yescharacteristic
1177#95C23×C8911yescharacteristic
1178#95C23×C8911yescharacteristic
1179#95C23×C8911yescharacteristic
1180#95C23×C8911yescharacteristic
1181#95C23×C8911yescharacteristic
1182#95C23×C8911yescharacteristic
1183#95C23×C8911yescharacteristic
1184#95C23×C8911yescharacteristic
1185#95C23×C8911yescharacteristic
1186#95C23×C8911yescharacteristic
1187#95C23×C8911yescharacteristic
1188#95C23×C8911yescharacteristic
1189#95C23×C8911yescharacteristic
1190#95C23×C8911yescharacteristic
1191#95C23×C8911yescharacteristic
1192#95C23×C8911yescharacteristic
1193#95C23×C8911yescharacteristic
1194#95C23×C8911yescharacteristic
1195#95C23×C8911yescharacteristic
1196#95C23×C8911yescharacteristic
1197#95C23×C8911yescharacteristic
1198#95C23×C8911yescharacteristic
1199#95C23×C8911yescharacteristic
1200#95C23×C8911yescharacteristic
1201#95C23×C8911yescharacteristic
1202#95C23×C8911yescharacteristic
1203#95C23×C8911yescharacteristic
1204#95C23×C8911yescharacteristic
1205#95C23×C8911yescharacteristic
1206#95C23×C8911yescharacteristic
1207#95C23×C8911yescharacteristic
1208#95C23×C8911yescharacteristic
1209#95C23×C8911yescharacteristic
1210#95C23×C8911yescharacteristic
1211#95C23×C8911yescharacteristic
1212C24—22no—
1213C24—22no—
1214C24—22no—
1215C24—22no—
1216C24—22no—
1217C24—41no—
1218C24—41no—
1219C24—41no—
1220C24—41no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24#41×C8914yes—
1226C24C24×C8911yescharacteristic
1227C24C24×C8911yescharacteristic
1228C24C24×C8911yescharacteristic
1229C24C24×C8911yescharacteristic
1230C24C24×C8911yescharacteristic
1231C24C24×C8911yescharacteristic
1232C24C24×C8911yescharacteristic
1233C2×Q8—22no—
1234C2×Q8—41no—
1235C2×Q8—41no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—22no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—41no—
1262C2×D4—41no—
1263C2×D4—41no—
1264C2×D4—41no—
1265C2×D4—41no—
1266C2×D4—41no—
1267C2×D4—41no—
1268C2×D4—41no—
1269C2×D4—41no—
1270C2×D4—41no—
1271C2×D4—41no—
1272C2×D4—41no—
1273C2×D4—41no—
1274C2×D4—41no—
1275C2×D4—41no—
1276C2×D4—41no—
1277C2×D4—41no—
1278C2×D4—41no—
1279C2×D4—41no—
1280C2×D4—41no—
1281C2×D4—416no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—22no—
1295C22×C4—41no—
1296C22×C4—41no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—41no—
1300C22×C4—41no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—41no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—41no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—416no—
1316C22×C4C24×C8911yescharacteristic
1317C22×C4C24×C8911yescharacteristic
1318C22×C4C24×C8911yescharacteristic
1319C22×C4C24×C8911yescharacteristic
1320C22×C4C24×C8911yescharacteristic
1321C22×C4C24×C8911yescharacteristic
1322C22×C4C24×C8911yescharacteristic
1323C22×C4C24×C8911yescharacteristic
1324C22×C4C24×C8911yescharacteristic
1325C22×C4C24×C8911yescharacteristic
1326C22×C4C24×C8911yescharacteristic
1327C22×C4C24×C8911yescharacteristic
1328C22×C4C24×C8911yescharacteristic
1329C22×C4C24×C8911yescharacteristic
1330C22×C4C24×C8911yescharacteristic
1331C22×C4C24×C8911yescharacteristic
1332C22×C4C24×C8911yescharacteristic
1333C22×C4C24×C8911yescharacteristic
1334C22×C4C24×C8911yescharacteristic
1335C22×C4C24×C8911yescharacteristic
1336C22×C4C24×C8911yescharacteristic
1337C22×C4C24×C8911yescharacteristic
1338C22×C4C24×C8911yescharacteristic
1339C22×C4C24×C8911yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—41no—
1345C4⋊C4—41no—
1346C4⋊C4—41no—
1347C4⋊C4—41no—
1348C4⋊C4—41no—
1349C4⋊C4—41no—
1350C4⋊C4—41no—
1351C4⋊C4—41no—
1352C4⋊C4—41no—
1353C4⋊C4—41no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—41no—
1360C4⋊C4—41no—
1361C4⋊C4—41no—
1362C22⋊C4—22no—
1363C22⋊C4—22no—
1364C22⋊C4—22no—
1365C22⋊C4—22no—
1366C22⋊C4—22no—
1367C22⋊C4—22no—
1368C22⋊C4—22no—
1369C22⋊C4—22no—
1370C22⋊C4—22no—
1371C22⋊C4—22no—
1372C22⋊C4—22no—
1373C22⋊C4—22no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—41no—
1388C22⋊C4—41no—
1389C22⋊C4—41no—
1390C22⋊C4—41no—
1391C22⋊C4—41no—
1392C22⋊C4—41no—
1393C22⋊C4—41no—
1394C22⋊C4—41no—
1395C22⋊C4—41no—
1396C22⋊C4—41no—
1397C22⋊C4—41no—
1398C22⋊C4—41no—
1399C22⋊C4—41no—
1400C22⋊C4—41no—
1401C22⋊C4—41no—
1402C22⋊C4—41no—
1403C22⋊C4—41no—
1404C22⋊C4—41no—
1405C22⋊C4—41no—
1406C22⋊C4—41no—
1407C22⋊C4—41no—
1408C22⋊C4—41no—
1409C22⋊C4—41no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—41no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C42—41no—
1421C42—41no—
1422C42—41no—
1423C42—41no—
1424C42—41no—
1425C42—41no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—28no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—21no—
1460C23—21no—
1461C23—21no—
1462C23—21no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—21no—
1470C23—21no—
1471C23—44no—
1472C23—44no—
1473C23—44no—
1474C23—44no—
1475C23—44no—
1476C23—44no—
1477C23—44no—
1478C23—44no—
1479C23—44no—
1480C23—82no—
1481C23—82no—
1482C23—82no—
1483C23—82no—
1484C23C2×#41×C8912yes—
1485C23C2×#41×C8912yes—
1486C23C2×#41×C8912yes—
1487C23H(5,𝔽2)×C8912yes—
1488C23H(5,𝔽2)×C8912yes—
1489C23C25×C8911yescharacteristic
1490Q8—82no—
1491D4—44no—
1492D4—44no—
1493D4—44no—
1494D4—44no—
1495D4—44no—
1496D4—44no—
1497D4—82no—
1498D4—82no—
1499D4—82no—
1500D4—82no—
1501D4—82no—
1502D4—82no—
1503D4—82no—
1504D4—82no—
1505D4—82no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—44no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—44no—
1580C2×C4—44no—
1581C2×C4—44no—
1582C2×C4—44no—
1583C2×C4—82no—
1584C2×C4—82no—
1585C2×C4—82no—
1586C2×C4—82no—
1587C2×C4H(5,𝔽2)×C8912yes—
1588C2×C4H(5,𝔽2)×C8912yes—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—22no—
1595C22—22no—
1596C22—22no—
1597C22—22no—
1598C22—22no—
1599C22—22no—
1600C22—22no—
1601C22—416no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—41no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—41no—
1618C22—41no—
1619C22—41no—
1620C22—41no—
1621C22—41no—
1622C22—41no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—41no—
1633C22—41no—
1634C22—41no—
1635C22—41no—
1636C22—41no—
1637C22—41no—
1638C22—88no—
1639C22#538×C8914yes—
1640C22C22×#41×C8911yescharacteristic
1641C22C2×H(5,𝔽2)×C8911yescharacteristic
1642C22C2×H(5,𝔽2)×C8911yescharacteristic
1643C22C2×H(5,𝔽2)×C8911yescharacteristic
1644C22C2×H(5,𝔽2)×C8911yescharacteristic
1645C22#585×C8911yescharacteristic
1646C22#585×C8911yescharacteristic
1647C4—22no—
1648C4—22no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—41no—
1660C4—41no—
1661C4—41no—
1662C4—41no—
1663C4—41no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C2—24no—
1672C2—42no—
1673C2—42no—
1674C2—81no—
1675C2—81no—
1676C2—81no—
1677C2—81no—
1678C2C2×#538×C8911yescharacteristic
1679C2C89×#350511yescharacteristic
1680C2C89×#350511yescharacteristic
1681C2C89×#353211yescharacteristic
1682C2C89×#353311yescharacteristic
1683C2C89×#354211yescharacteristic
1684C2C89×#354211yescharacteristic
subgroupG/H
center, socleC23×C89C25
commutator, Frattini, cosocleC23C25×C89
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C89 ◁ G

Complements

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

NH ≅ G/Ntype
1. C89×#2848C2semidirect
2. C89×#2847C2semidirect
3. C89×#2797C2semidirect
4. C89×#2781C2semidirect
5. C89×#2779C2semidirect
6. C89×#2778C2semidirect
7. C89×#2778C2semidirect
8. C89×#2756C2semidirect
9. C89×#2753C2semidirect
10. C89×#2749C2semidirect
11. C89×#2741C2semidirect
12. C89×#2730C2semidirect
13. C89×#2714C2semidirect
14. C89×#2703C2semidirect
15. C89×#2702C2semidirect
16. C89×#2696C2semidirect
17. C89×#2688C2semidirect
18. C89×#2676C2semidirect
19. C89×#2613C2semidirect
20. C89×#2613C2semidirect
21. C89×#2493C2semidirect
22. C89×#2488C2semidirect
23. C89×#2480C2semidirect
24. C89×#2472C2semidirect
25. C89×#2425C2semidirect
26. C89×#2424C2semidirect
27. C89×#2419C2semidirect
28. C89×#2418C2semidirect
29. C89×#2321C2semidirect
30. C89×#2321C2semidirect
31. C2×#386×C89C2semidirect
34. C2×#126×C89C22semidirect
35. C2×#124×C89C22semidirect
38. C2×#123×C89C22semidirect
40. C2×C22⋊Q8×C89C22semidirect
41. C2×C22⋊Q8×C89C22semidirect
43. C2×#121×C89C22semidirect
44. C2×#121×C89C22semidirect
45. C2×#121×C89C22semidirect
55. #401×C89C22semidirect
56. #400×C89C22semidirect
57. #400×C89C22semidirect
58. #400×C89C22semidirect
59. #400×C89C22semidirect
60. #400×C89C22semidirect
61. #400×C89C22semidirect
62. #399×C89C22semidirect
63. #398×C89C22semidirect
64. #398×C89C22semidirect
65. #397×C89C22semidirect
66. #397×C89C22semidirect
67. #397×C89C22semidirect
68. #397×C89C22semidirect
69. #397×C89C22semidirect
70. #397×C89C22semidirect
71. #397×C89C22semidirect
72. #397×C89C22semidirect
73. #397×C89C22semidirect
74. #396×C89C22semidirect
75. #396×C89C22semidirect
76. #396×C89C22semidirect
85. #394×C89C22semidirect
86. #394×C89C22semidirect
87. #394×C89C22semidirect
88. #394×C89C22semidirect
89. #394×C89C22semidirect
90. #394×C89C22semidirect
91. #394×C89C22semidirect
92. #393×C89C22semidirect
93. #393×C89C22semidirect
102. #392×C89C22semidirect
103. #391×C89C22semidirect
104. #390×C89C22semidirect
105. #390×C89C22semidirect
106. #390×C89C22semidirect
107. #390×C89C22semidirect
108. #390×C89C22semidirect
109. #390×C89C22semidirect
110. #389×C89C22semidirect
111. #388×C89C22semidirect
112. #388×C89C22semidirect
113. #388×C89C22semidirect
114. #388×C89C22semidirect
115. #388×C89C22semidirect
116. #388×C89C22semidirect
117. #388×C89C22semidirect
118. #388×C89C22semidirect
119. #388×C89C22semidirect
120. #388×C89C22semidirect
121. #388×C89C22semidirect
122. #388×C89C22semidirect
123. #388×C89C22semidirect
124. #388×C89C22semidirect
125. #388×C89C22semidirect
126. #388×C89C22semidirect
127. #388×C89C22semidirect
128. #388×C89C22semidirect
129. #388×C89C22semidirect
130. #387×C89C22semidirect
131. #387×C89C22semidirect
132. #387×C89C22semidirect
133. #387×C89C22semidirect
134. #387×C89C22semidirect
147. #386×C89C22semidirect
148. #386×C89C22semidirect
149. #386×C89C22semidirect
150. #386×C89C22semidirect
151. #386×C89C22semidirect
152. #386×C89C22semidirect
153. #386×C89C22semidirect
154. #386×C89C22semidirect
155. #386×C89C22semidirect
156. #386×C89C22semidirect
157. #386×C89C22semidirect
162. #385×C89C22semidirect
163. #385×C89C22semidirect
164. #385×C89C22semidirect
165. #385×C89C22semidirect
166. #385×C89C22semidirect
167. #383×C89C22semidirect
168. #382×C89C22semidirect
171. #381×C89C22semidirect
174. #380×C89C22semidirect
175. #380×C89C22semidirect
176. #380×C89C22semidirect
177. #380×C89C22semidirect
178. #380×C89C22semidirect
828. #36758C89direct (N × H)
843. #2848C2×C89semidirect
844. #2847C2×C89semidirect
845. #2797C2×C89semidirect
846. #2781C2×C89semidirect
847. #2779C2×C89semidirect
848. #2778C2×C89semidirect
849. #2778C2×C89semidirect
850. #2756C2×C89semidirect
851. #2753C2×C89semidirect
852. #2749C2×C89semidirect
853. #2741C2×C89semidirect
854. #2730C2×C89semidirect
855. #2714C2×C89semidirect
856. #2703C2×C89semidirect
857. #2702C2×C89semidirect
858. #2696C2×C89semidirect
859. #2688C2×C89semidirect
860. #2676C2×C89semidirect
861. #2613C2×C89semidirect
862. #2613C2×C89semidirect
863. #2493C2×C89semidirect
864. #2488C2×C89semidirect
865. #2480C2×C89semidirect
866. #2472C2×C89semidirect
867. #2425C2×C89semidirect
868. #2424C2×C89semidirect
869. #2419C2×C89semidirect
870. #2418C2×C89semidirect
871. #2321C2×C89semidirect
872. #2321C2×C89semidirect
873. C2×#386C2×C89semidirect
874. C89#36758direct (N × H)
877. C2×#126C22×C89semidirect
878. C2×#124C22×C89semidirect
881. C2×#123C22×C89semidirect
883. C2×C22⋊Q8C22×C89semidirect
884. C2×C22⋊Q8C22×C89semidirect
886. C2×#121C22×C89semidirect
887. C2×#121C22×C89semidirect
888. C2×#121C22×C89semidirect
898. #401C22×C89semidirect
899. #400C22×C89semidirect
900. #400C22×C89semidirect
901. #400C22×C89semidirect
902. #400C22×C89semidirect
903. #400C22×C89semidirect
904. #400C22×C89semidirect
905. #399C22×C89semidirect
906. #398C22×C89semidirect
907. #398C22×C89semidirect
908. #397C22×C89semidirect
909. #397C22×C89semidirect
910. #397C22×C89semidirect
911. #397C22×C89semidirect
912. #397C22×C89semidirect
913. #397C22×C89semidirect
914. #397C22×C89semidirect
915. #397C22×C89semidirect
916. #397C22×C89semidirect
917. #396C22×C89semidirect
918. #396C22×C89semidirect
919. #396C22×C89semidirect
928. #394C22×C89semidirect
929. #394C22×C89semidirect
930. #394C22×C89semidirect
931. #394C22×C89semidirect
932. #394C22×C89semidirect
933. #394C22×C89semidirect
934. #394C22×C89semidirect
935. #393C22×C89semidirect
936. #393C22×C89semidirect
945. #392C22×C89semidirect
946. #391C22×C89semidirect
947. #390C22×C89semidirect
948. #390C22×C89semidirect
949. #390C22×C89semidirect
950. #390C22×C89semidirect
951. #390C22×C89semidirect
952. #390C22×C89semidirect
953. #389C22×C89semidirect
954. #388C22×C89semidirect
955. #388C22×C89semidirect
956. #388C22×C89semidirect
957. #388C22×C89semidirect
958. #388C22×C89semidirect
959. #388C22×C89semidirect
960. #388C22×C89semidirect
961. #388C22×C89semidirect
962. #388C22×C89semidirect
963. #388C22×C89semidirect
964. #388C22×C89semidirect
965. #388C22×C89semidirect
966. #388C22×C89semidirect
967. #388C22×C89semidirect
968. #388C22×C89semidirect
969. #388C22×C89semidirect
970. #388C22×C89semidirect
971. #388C22×C89semidirect
972. #388C22×C89semidirect
973. #387C22×C89semidirect
974. #387C22×C89semidirect
975. #387C22×C89semidirect
976. #387C22×C89semidirect
977. #387C22×C89semidirect
990. #386C22×C89semidirect
991. #386C22×C89semidirect
992. #386C22×C89semidirect
993. #386C22×C89semidirect
994. #386C22×C89semidirect
995. #386C22×C89semidirect
996. #386C22×C89semidirect
997. #386C22×C89semidirect
998. #386C22×C89semidirect
999. #386C22×C89semidirect
1000. #386C22×C89semidirect
1005. #385C22×C89semidirect
1006. #385C22×C89semidirect
1007. #385C22×C89semidirect
1008. #385C22×C89semidirect
1009. #385C22×C89semidirect
1010. #383C22×C89semidirect
1011. #382C22×C89semidirect
1014. #381C22×C89semidirect
1017. #380C22×C89semidirect
1018. #380C22×C89semidirect
1019. #380C22×C89semidirect
1020. #380C22×C89semidirect
1021. #380C22×C89semidirect

Maximal subgroups

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

subgroupindex
C89×#28482
C89×#28472
C89×#27972
C89×#27812
C89×#27792
C89×#27782
C89×#27562
C89×#27532
C89×#27492
C89×#27412
C89×#27302
C89×#27142
C89×#27032
C89×#27022
C89×#26962
C89×#26882
C89×#26762
C89×#26132
C89×#24932
C89×#24882
C89×#24802
C89×#24722
C89×#24252
C89×#24242
C89×#24192
C89×#24182
C89×#23212
C2×#386×C892
#3675889