Finite Group Databasebeta

← C89×#35465 #36413313

Subgroups — C89×#35465 #36413313

Order 22784.

2404 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#538×C89C211yesmaximal, characteristic, complemented
2C2×#529×C89C211yesmaximal, characteristic, complemented
3C89×#2610C211yesmaximal, characteristic, complemented
4C89×#2604C211yesmaximal, characteristic, complemented
5C89×#2602C211yesmaximal, characteristic, complemented
6C89×#2601C211yesmaximal, characteristic, complemented
7C89×#2559C211yesmaximal, characteristic, complemented
8C89×#2558C211yesmaximal, characteristic, complemented
9C89×#2555C211yesmaximal, characteristic, complemented
10C89×#2554C211yesmaximal, characteristic, complemented
11C89×#2545C211yesmaximal, characteristic, complemented
12C89×#2543C211yesmaximal, characteristic, complemented
13C89×#2539C211yesmaximal, characteristic, complemented
14C89×#2534C211yesmaximal, characteristic, complemented
15C89×#2521C211yesmaximal, characteristic, complemented
16C89×#2519C211yesmaximal, characteristic, complemented
17C89×#2512C211yesmaximal, characteristic, complemented
18C89×#2500C211yesmaximal, characteristic, complemented
19C89×#2498C211yesmaximal, characteristic, complemented
20C89×#2491C211yesmaximal, characteristic, complemented
21C89×#2488C211yesmaximal, characteristic, complemented
22C89×#2472C211yesmaximal, characteristic, complemented
23C89×#2440C211yesmaximal, characteristic, complemented
24C89×#2425C211yesmaximal, characteristic, complemented
25C89×#2424C211yesmaximal, characteristic, complemented
26C89×#2416C211yesmaximal, characteristic, complemented
27C89×#2325C211yesmaximal, characteristic, complemented
28C89×#2321C211yesmaximal, characteristic, complemented
29C4×#123×C89C211yesmaximal, characteristic, complemented
30C2×#388×C89C211yesmaximal, characteristic, complemented
31C89×#2275C211yesmaximal, characteristic, complemented
32#538×C89—28no—
33C2×C4⋊Q8×C89C2211yescharacteristic, complemented
34#529×C89—28no—
35C2×#126×C89C2211yescharacteristic
36C2×#126×C89C2211yescharacteristic
37C2×#126×C89C2211yescharacteristic, complemented
38C2×#126×C89C2211yescharacteristic, complemented
39C2×#125×C89C2211yescharacteristic, complemented
40C2×#124×C89C2211yescharacteristic
41C2×#124×C89C2211yescharacteristic
42C2×#124×C89C2211yescharacteristic
43C2×#124×C89C2211yescharacteristic, complemented
44C2×#123×C89C2211yescharacteristic
45C2×#123×C89C2211yescharacteristic
46C2×#123×C89C2211yescharacteristic
47C2×#123×C89C2211yescharacteristic
48C2×#123×C89C2211yescharacteristic
49C2×C22⋊Q8×C89C2211yescharacteristic
50C2×C22⋊Q8×C89C2211yescharacteristic
51C2×#121×C89C2211yescharacteristic
52C2×#121×C89C2211yescharacteristic
53C2×#121×C89C2211yescharacteristic
54C2×#121×C89C2211yescharacteristic
55C2×#121×C89C2211yescharacteristic
56C2×#121×C89C2211yescharacteristic
57C2×#121×C89C2211yescharacteristic, complemented
58C2×#120×C89C2211yescharacteristic
59C2×#120×C89C2211yescharacteristic
60C2×#120×C89C2211yescharacteristic
61C2×C4×Q8×C89C2211yescharacteristic, complemented
62C2×C4×D4×C89C2211yescharacteristic
63C2×C4×D4×C89C2211yescharacteristic
64C2×C4×D4×C89C2211yescharacteristic
65C2×C4×D4×C89C2211yescharacteristic
66C2×C4×D4×C89C2211yescharacteristic
67C2×C4×D4×C89C2211yescharacteristic, complemented
68C2×#117×C89C2211yescharacteristic, complemented
69C2×#117×C89C2211yescharacteristic, complemented
70C22×C4⋊C4×C89C2211yescharacteristic
71C22×C22⋊C4×C89C2211yescharacteristic
72C22×C22⋊C4×C89C2211yescharacteristic
73C22×C22⋊C4×C89C2211yescharacteristic
74C22×C42×C89C2211yescharacteristic
75#400×C89C2211yescharacteristic, complemented
76#400×C89C2211yescharacteristic, complemented
77#399×C89C2211yescharacteristic
78#399×C89C2211yescharacteristic
79#398×C89C2211yescharacteristic, complemented
80#398×C89C2211yescharacteristic, complemented
81#398×C89C2211yescharacteristic, complemented
82#397×C89C2211yescharacteristic
83#397×C89C2211yescharacteristic, complemented
84#397×C89C2211yescharacteristic, complemented
85#396×C89C2211yescharacteristic
86#396×C89C2211yescharacteristic
87#396×C89C2211yescharacteristic
88#396×C89C2211yescharacteristic, complemented
89#396×C89C2211yescharacteristic, complemented
90#396×C89C2211yescharacteristic, complemented
91#395×C89C2211yescharacteristic, complemented
92#395×C89C2211yescharacteristic, complemented
93#394×C89C2211yescharacteristic
94#394×C89C2211yescharacteristic
95#394×C89C2211yescharacteristic
96#394×C89C2211yescharacteristic
97#394×C89C2211yescharacteristic
98#394×C89C2211yescharacteristic
99#394×C89C2211yescharacteristic, complemented
100#394×C89C2211yescharacteristic, complemented
101#394×C89C2211yescharacteristic, complemented
102#393×C89C2211yescharacteristic
103#393×C89C2211yescharacteristic, complemented
104#392×C89C2211yescharacteristic
105#392×C89C2211yescharacteristic
106#392×C89C2211yescharacteristic
107#391×C89C2211yescharacteristic, complemented
108#390×C89C2211yescharacteristic
109#390×C89C2211yescharacteristic
110#390×C89C2211yescharacteristic
111#390×C89C2211yescharacteristic
112#390×C89C2211yescharacteristic
113#390×C89C2211yescharacteristic
114#390×C89C2211yescharacteristic
115#390×C89C2211yescharacteristic
116#390×C89C2211yescharacteristic, complemented
117#389×C89C2211yescharacteristic, complemented
118#389×C89C2211yescharacteristic, complemented
119#389×C89C2211yescharacteristic, complemented
120#389×C89C2211yescharacteristic, complemented
121#388×C89C2211yescharacteristic
122#388×C89C2211yescharacteristic
123#388×C89C2211yescharacteristic
124#388×C89C2211yescharacteristic
125#388×C89C2211yescharacteristic
126#388×C89C2211yescharacteristic
127#388×C89C2211yescharacteristic
128#388×C89C2211yescharacteristic
129#388×C89C2211yescharacteristic
130#388×C89C2211yescharacteristic
131#388×C89C2211yescharacteristic
132#388×C89C2211yescharacteristic
133#388×C89C2211yescharacteristic
134#388×C89C2211yescharacteristic
135#388×C89C2211yescharacteristic
136#388×C89C2211yescharacteristic
137#388×C89C2211yescharacteristic
138#388×C89C2211yescharacteristic, complemented
139#388×C89C2211yescharacteristic, complemented
140#388×C89C2211yescharacteristic, complemented
141#388×C89C2211yescharacteristic, complemented
142#388×C89C2211yescharacteristic, complemented
143#388×C89C2211yescharacteristic, complemented
144#388×C89C2211yescharacteristic, complemented
145#387×C89C2211yescharacteristic, complemented
146#387×C89C2211yescharacteristic, complemented
147#387×C89C2211yescharacteristic, complemented
148#387×C89C2211yescharacteristic, complemented
149#386×C89C2211yescharacteristic
150#386×C89C2211yescharacteristic
151#386×C89C2211yescharacteristic
152#386×C89C2211yescharacteristic
153#386×C89C2211yescharacteristic
154#386×C89C2211yescharacteristic
155#386×C89C2211yescharacteristic
156#386×C89C2211yescharacteristic
157#386×C89C2211yescharacteristic
158#386×C89C2211yescharacteristic, complemented
159#386×C89C2211yescharacteristic, complemented
160#386×C89C2211yescharacteristic, complemented
161#385×C89C2211yescharacteristic
162#385×C89C2211yescharacteristic
163#385×C89C2211yescharacteristic, complemented
164#385×C89C2211yescharacteristic, complemented
165#384×C89C2211yescharacteristic, complemented
166#382×C89C2211yescharacteristic, complemented
167#381×C89C2211yescharacteristic
168#380×C89C2211yescharacteristic
169#380×C89C2211yescharacteristic, complemented
170#380×C89C2211yescharacteristic, complemented
171#379×C89C2211yescharacteristic
172C4×C4⋊C4×C89C2211yescharacteristic, complemented
173C4×C4⋊C4×C89C2211yescharacteristic, complemented
174C4×C4⋊C4×C89C2211yescharacteristic, complemented
175C4×C4⋊C4×C89C2211yescharacteristic, complemented
176C4×C4⋊C4×C89C2211yescharacteristic, complemented
177C4×C22⋊C4×C89C2211yescharacteristic
178C4×C22⋊C4×C89C2211yescharacteristic
179C4×C22⋊C4×C89C2211yescharacteristic
180C4×C22⋊C4×C89C2211yescharacteristic, complemented
181C4×C22⋊C4×C89C2211yescharacteristic, complemented
182C4×C22⋊C4×C89C2211yescharacteristic, complemented
183C4×C22⋊C4×C89C2211yescharacteristic, complemented
184C4×C22⋊C4×C89C2211yescharacteristic, complemented
185#376×C89C2211yescharacteristic, complemented
186C2×#95×C89C2211yescharacteristic
187C2×#95×C89C2211yescharacteristic
188C2×#95×C89C2211yescharacteristic, complemented
189C25×C89C2311yescharacteristic
190C22×Q8×C89C2311yescharacteristic
191C22×Q8×C89C2311yescharacteristic
192C22×D4×C89C2311yescharacteristic
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
204C23×C4×C89C2311yescharacteristic
205C23×C4×C89C2311yescharacteristic
206C23×C4×C89C2311yescharacteristic
207C23×C4×C89C2311yescharacteristic
208C23×C4×C89C2311yescharacteristic
209C23×C4×C89C2311yescharacteristic
210C23×C4×C89C2311yescharacteristic
211C23×C4×C89C2311yescharacteristic
212C23×C4×C89C2311yescharacteristic
213C23×C4×C89C2311yescharacteristic
214C23×C4×C89C2311yescharacteristic
215C4⋊Q8×C89—42no—
216#126×C89—24no—
217#126×C89—24no—
218#126×C89—24no—
219#126×C89—24no—
220#125×C89—24no—
221#124×C89—24no—
222#124×C89—24no—
223#124×C89—24no—
224#124×C89—42no—
225#123×C89—24no—
226#123×C89—24no—
227#123×C89—24no—
228#123×C89—24no—
229#123×C89—24no—
230C22⋊Q8×C89—24no—
231C22⋊Q8×C89—24no—
232#121×C89—24no—
233#121×C89—24no—
234#121×C89—24no—
235#121×C89—24no—
236#121×C89—24no—
237#121×C89—42no—
238#121×C89—42no—
239#120×C89—24no—
240#120×C89—24no—
241#120×C89—24no—
242C4×Q8×C89—24no—
243C4×D4×C89—24no—
244C4×D4×C89—24no—
245C4×D4×C89—24no—
246C4×D4×C89—24no—
247C4×D4×C89—24no—
248C4×D4×C89D418yescomplemented
249#117×C89—24no—
250#117×C89—24no—
251C2×C4⋊C4×C89—42no—
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×C4⋊C4×C89C2311yescharacteristic
263C2×C4⋊C4×C89C2311yescharacteristic
264C2×C4⋊C4×C89C2311yescharacteristic
265C2×C4⋊C4×C89C2311yescharacteristic
266C2×C4⋊C4×C89C2311yescharacteristic
267C2×C4⋊C4×C89C2311yescharacteristic
268C2×C4⋊C4×C89C2311yescharacteristic
269C2×C4⋊C4×C89C2311yescharacteristic
270C2×C4⋊C4×C89C2311yescharacteristic
271C2×C4⋊C4×C89C2311yescharacteristic
272C2×C4⋊C4×C89C2311yescharacteristic
273C2×C4⋊C4×C89C2311yescharacteristic
274C2×C4⋊C4×C89C2311yescharacteristic
275C2×C4⋊C4×C89C2311yescharacteristic
276C2×C4⋊C4×C89C2311yescharacteristic
277C2×C4⋊C4×C89C2311yescharacteristic
278C2×C4⋊C4×C89C2311yescharacteristic
279C2×C4⋊C4×C89C2311yescharacteristic
280C2×C4⋊C4×C89C2311yescharacteristic
281C2×C4⋊C4×C89C2311yescharacteristic
282C2×C22⋊C4×C89—24no—
283C2×C22⋊C4×C89—24no—
284C2×C22⋊C4×C89—42no—
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×C22⋊C4×C89C2311yescharacteristic
324C2×C22⋊C4×C89C2311yescharacteristic
325C2×C22⋊C4×C89C2311yescharacteristic
326C2×C22⋊C4×C89C2311yescharacteristic
327C2×C22⋊C4×C89C2311yescharacteristic
328C2×C22⋊C4×C89C2311yescharacteristic
329C2×C22⋊C4×C89C2311yescharacteristic
330C2×C22⋊C4×C89C2311yescharacteristic
331C2×C22⋊C4×C89C2311yescharacteristic
332C2×C22⋊C4×C89C2311yescharacteristic
333C2×C22⋊C4×C89C2311yescharacteristic
334C2×C22⋊C4×C89C2311yescharacteristic
335C2×C22⋊C4×C89C2311yescharacteristic
336C2×C22⋊C4×C89C2311yescharacteristic
337C2×C42×C89—24no—
338C2×C42×C89C2311yescharacteristic
339C2×C42×C89C2311yescharacteristic
340C2×C42×C89C2311yescharacteristic
341C2×C42×C89C2311yescharacteristic
342C2×C42×C89C2311yescharacteristic
343C2×C42×C89C2311yescharacteristic
344C2×C42×C89C2311yescharacteristic
345C2×C42×C89C2311yescharacteristic
346C2×C42×C89C2311yescharacteristic
347C2×C42×C89C2311yescharacteristic
348C2×C42×C89C2311yescharacteristic
349C2×C42×C89C2311yescharacteristic
350C2×C42×C89C2311yescharacteristic
351C2×C42×C89C2311yescharacteristic
352C2×C42×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
369#95×C89C2311yescharacteristic
370#95×C89C2311yescharacteristic
371#95×C89C2311yescharacteristic
372#95×C89C2311yescharacteristic
373#95×C89C2311yescharacteristic
374#95×C89C2311yescharacteristic
375#95×C89C2311yescharacteristic
376#95×C89C2311yescharacteristic
377#95×C89C2311yescharacteristic
378#95×C89C2311yescharacteristic
379#95×C89C2311yescharacteristic
380#95×C89C2311yescharacteristic
381#95×C89C2311yescharacteristic
382#95×C89C2311yescharacteristic
383#95×C89C2311yescharacteristic
384#95×C89C2311yescharacteristic
385C24×C89—22no—
386C24×C89—22no—
387C24×C89—22no—
388C24×C89—41no—
389C24×C89—41no—
390C24×C89—41no—
391C24×C89—41no—
392C24×C89C2411yescharacteristic
393C24×C89C2411yescharacteristic
394C24×C89C2411yescharacteristic
395C24×C89C2411yescharacteristic
396C24×C89C2411yescharacteristic
397C24×C89C2411yescharacteristic
398C2×Q8×C89—22no—
399C2×Q8×C89—22no—
400C2×Q8×C89—22no—
401C2×Q8×C89—41no—
402C2×Q8×C89—41no—
403C2×Q8×C89—41no—
404C2×D4×C89—22no—
405C2×D4×C89—22no—
406C2×D4×C89—22no—
407C2×D4×C89—22no—
408C2×D4×C89—22no—
409C2×D4×C89—22no—
410C2×D4×C89—22no—
411C2×D4×C89—22no—
412C2×D4×C89—22no—
413C2×D4×C89—22no—
414C2×D4×C89—22no—
415C2×D4×C89—22no—
416C2×D4×C89—22no—
417C2×D4×C89—22no—
418C2×D4×C89—22no—
419C2×D4×C89—22no—
420C2×D4×C89—22no—
421C2×D4×C89—22no—
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—41no—
439C2×D4×C89C2×D414yes—
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—41no—
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×C89C2×D414yes—
471C22×C4×C89C2×D414yes—
472C22×C4×C89#4114yes—
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
497C22×C4×C89C2411yescharacteristic
498C4⋊C4×C89—22no—
499C4⋊C4×C89—22no—
500C4⋊C4×C89—22no—
501C4⋊C4×C89—22no—
502C4⋊C4×C89—22no—
503C4⋊C4×C89—22no—
504C4⋊C4×C89—22no—
505C4⋊C4×C89—22no—
506C4⋊C4×C89—22no—
507C4⋊C4×C89—22no—
508C4⋊C4×C89—22no—
509C4⋊C4×C89—22no—
510C4⋊C4×C89—22no—
511C4⋊C4×C89—22no—
512C4⋊C4×C89—22no—
513C4⋊C4×C89—22no—
514C4⋊C4×C89—22no—
515C4⋊C4×C89—22no—
516C4⋊C4×C89—22no—
517C4⋊C4×C89—22no—
518C4⋊C4×C89—22no—
519C4⋊C4×C89—22no—
520C4⋊C4×C89—41no—
521C4⋊C4×C89—41no—
522C4⋊C4×C89—41no—
523C4⋊C4×C89—41no—
524C4⋊C4×C89—41no—
525C4⋊C4×C89—41no—
526C4⋊C4×C89—41no—
527C4⋊C4×C89C2×D414yes—
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—22no—
536C22⋊C4×C89—22no—
537C22⋊C4×C89—22no—
538C22⋊C4×C89—22no—
539C22⋊C4×C89—22no—
540C22⋊C4×C89—22no—
541C22⋊C4×C89—22no—
542C22⋊C4×C89—22no—
543C22⋊C4×C89—22no—
544C22⋊C4×C89—22no—
545C22⋊C4×C89—22no—
546C22⋊C4×C89—22no—
547C22⋊C4×C89—22no—
548C22⋊C4×C89—22no—
549C22⋊C4×C89—22no—
550C22⋊C4×C89—22no—
551C22⋊C4×C89—22no—
552C22⋊C4×C89—22no—
553C22⋊C4×C89—22no—
554C22⋊C4×C89—22no—
555C22⋊C4×C89—22no—
556C22⋊C4×C89—22no—
557C22⋊C4×C89—22no—
558C22⋊C4×C89—22no—
559C22⋊C4×C89—22no—
560C22⋊C4×C89—22no—
561C22⋊C4×C89—22no—
562C22⋊C4×C89—22no—
563C22⋊C4×C89—22no—
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—
577C22⋊C4×C89C2×D414yes—
578C22⋊C4×C89C2×D414yes—
579C22⋊C4×C89#4114yes—
580C42×C89—22no—
581C42×C89—22no—
582C42×C89—22no—
583C42×C89—22no—
584C42×C89—22no—
585C42×C89—22no—
586C42×C89—22no—
587C42×C89—22no—
588C42×C89—41no—
589C42×C89—41no—
590C42×C89—41no—
591C42×C89—41no—
592C42×C89—41no—
593C42×C89—41no—
594C42×C89C2×D414yes—
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—21no—
629C23×C89—21no—
630C23×C89—21no—
631C23×C89—21no—
632C23×C89—21no—
633C23×C89—44no—
634C23×C89—44no—
635C23×C89—44no—
636C23×C89—82no—
637C23×C89—82no—
638C23×C89—82no—
639C23×C89—82no—
640C23×C89C22×D412yes—
641C23×C89C22×D412yes—
642C23×C89C2×#4112yes—
643C23×C89C2×#4112yes—
644C23×C89C2511yescharacteristic
645Q8×C89—44no—
646Q8×C89—82no—
647D4×C89—28no—
648D4×C89—44no—
649D4×C89—44no—
650D4×C89—44no—
651D4×C89—82no—
652D4×C89—82no—
653D4×C89—82no—
654D4×C89—82no—
655D4×C89—82no—
656D4×C89—82no—
657D4×C89—82no—
658D4×C89—82no—
659C2×C4×C89—21no—
660C2×C4×C89—21no—
661C2×C4×C89—21no—
662C2×C4×C89—21no—
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—44no—
725C2×C4×C89—44no—
726C2×C4×C89—44no—
727C2×C4×C89—44no—
728C2×C4×C89—44no—
729C2×C4×C89—44no—
730C2×C4×C89—82no—
731C2×C4×C89—82no—
732C2×C4×C89—82no—
733C2×C4×C89—82no—
734C2×C4×C89—82no—
735C2×C4×C89C22×D412yes—
736C2×C4×C89C22×D412yes—
737C2×C4×C89C22×D412yes—
738C2×C4×C89C22×D412yes—
739C2×C4×C89C22×D412yes—
740C2×C4×C89C2×#4112yes—
741C2×C4×C89C2×#4112yes—
742C2×C4×C89C2×#4112yes—
743C2×C4×C89C2×#4112yes—
744C2×C4×C89H(5,𝔽2)12yes—
745C22×C89—22no—
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—41no—
755C22×C89—41no—
756C22×C89—41no—
757C22×C89—41no—
758C22×C89—41no—
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—88no—
787C22×C89#53214yes—
788C22×C89C23×D411yescharacteristic
789C22×C89C22×#4111yescharacteristic
790C22×C89C22×#4111yescharacteristic
791C22×C89C2×H(5,𝔽2)11yescharacteristic
792C22×C89#58511yescharacteristic
793C22×C89#58511yescharacteristic
794C22×C89#58511yescharacteristic
795C4×C89—22no—
796C4×C89—22no—
797C4×C89—22no—
798C4×C89—22no—
799C4×C89—22no—
800C4×C89—22no—
801C4×C89—22no—
802C4×C89—22no—
803C4×C89—22no—
804C4×C89—22no—
805C4×C89—41no—
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—
820#35465C8911yesmaximal, characteristic, direct product factor, Sylow
821C2×C89—24no—
822C2×C89—42no—
823C2×C89—81no—
824C2×C89—81no—
825C2×C89—81no—
826C2×C89—81no—
827C2×C89C2×#53211yescharacteristic
828C2×C89#348511yescharacteristic
829C2×C89#348811yescharacteristic
830C2×C89#349311yescharacteristic
831C2×C89#350511yescharacteristic
832C2×C89#351411yescharacteristic
833C2×C89#352111yescharacteristic
834C2×#538C2×C8911yescharacteristic, complemented
835C2×#529C2×C8911yescharacteristic, complemented
836#2610C2×C8911yescharacteristic, complemented
837#2604C2×C8911yescharacteristic, complemented
838#2602C2×C8911yescharacteristic, complemented
839#2601C2×C8911yescharacteristic, complemented
840#2559C2×C8911yescharacteristic, complemented
841#2558C2×C8911yescharacteristic, complemented
842#2555C2×C8911yescharacteristic, complemented
843#2554C2×C8911yescharacteristic, complemented
844#2545C2×C8911yescharacteristic, complemented
845#2543C2×C8911yescharacteristic, complemented
846#2539C2×C8911yescharacteristic, complemented
847#2534C2×C8911yescharacteristic, complemented
848#2521C2×C8911yescharacteristic, complemented
849#2519C2×C8911yescharacteristic, complemented
850#2512C2×C8911yescharacteristic, complemented
851#2500C2×C8911yescharacteristic, complemented
852#2498C2×C8911yescharacteristic, complemented
853#2491C2×C8911yescharacteristic, complemented
854#2488C2×C8911yescharacteristic, complemented
855#2472C2×C8911yescharacteristic, complemented
856#2440C2×C8911yescharacteristic, complemented
857#2425C2×C8911yescharacteristic, complemented
858#2424C2×C8911yescharacteristic, complemented
859#2416C2×C8911yescharacteristic, complemented
860#2325C2×C8911yescharacteristic, complemented
861#2321C2×C8911yescharacteristic, complemented
862C4×#123C2×C8911yescharacteristic, complemented
863C2×#388C2×C8911yescharacteristic, complemented
864#2275C2×C8911yescharacteristic, complemented
865C89#3546511yescharacteristic, direct product factor, Sylow
866#538—28no—
867C2×C4⋊Q8C22×C8911yescharacteristic, complemented
868#529—28no—
869C2×#126C22×C8911yescharacteristic
870C2×#126C22×C8911yescharacteristic
871C2×#126C22×C8911yescharacteristic, complemented
872C2×#126C22×C8911yescharacteristic, complemented
873C2×#125C22×C8911yescharacteristic, complemented
874C2×#124C22×C8911yescharacteristic
875C2×#124C22×C8911yescharacteristic
876C2×#124C22×C8911yescharacteristic
877C2×#124C22×C8911yescharacteristic, complemented
878C2×#123C22×C8911yescharacteristic
879C2×#123C22×C8911yescharacteristic
880C2×#123C22×C8911yescharacteristic
881C2×#123C22×C8911yescharacteristic
882C2×#123C22×C8911yescharacteristic
883C2×C22⋊Q8C22×C8911yescharacteristic
884C2×C22⋊Q8C22×C8911yescharacteristic
885C2×#121C22×C8911yescharacteristic
886C2×#121C22×C8911yescharacteristic
887C2×#121C22×C8911yescharacteristic
888C2×#121C22×C8911yescharacteristic
889C2×#121C22×C8911yescharacteristic
890C2×#121C22×C8911yescharacteristic
891C2×#121C22×C8911yescharacteristic, complemented
892C2×#120C22×C8911yescharacteristic
893C2×#120C22×C8911yescharacteristic
894C2×#120C22×C8911yescharacteristic
895C2×C4×Q8C22×C8911yescharacteristic, complemented
896C2×C4×D4C22×C8911yescharacteristic
897C2×C4×D4C22×C8911yescharacteristic
898C2×C4×D4C22×C8911yescharacteristic
899C2×C4×D4C22×C8911yescharacteristic
900C2×C4×D4C22×C8911yescharacteristic
901C2×C4×D4C22×C8911yescharacteristic, complemented
902C2×#117C22×C8911yescharacteristic, complemented
903C2×#117C22×C8911yescharacteristic, complemented
904C22×C4⋊C4C22×C8911yescharacteristic
905C22×C22⋊C4C22×C8911yescharacteristic
906C22×C22⋊C4C22×C8911yescharacteristic
907C22×C22⋊C4C22×C8911yescharacteristic
908C22×C42C22×C8911yescharacteristic
909#400C22×C8911yescharacteristic, complemented
910#400C22×C8911yescharacteristic, complemented
911#399C22×C8911yescharacteristic
912#399C22×C8911yescharacteristic
913#398C22×C8911yescharacteristic, complemented
914#398C22×C8911yescharacteristic, complemented
915#398C22×C8911yescharacteristic, complemented
916#397C22×C8911yescharacteristic
917#397C22×C8911yescharacteristic, complemented
918#397C22×C8911yescharacteristic, complemented
919#396C22×C8911yescharacteristic
920#396C22×C8911yescharacteristic
921#396C22×C8911yescharacteristic
922#396C22×C8911yescharacteristic, complemented
923#396C22×C8911yescharacteristic, complemented
924#396C22×C8911yescharacteristic, complemented
925#395C22×C8911yescharacteristic, complemented
926#395C22×C8911yescharacteristic, complemented
927#394C22×C8911yescharacteristic
928#394C22×C8911yescharacteristic
929#394C22×C8911yescharacteristic
930#394C22×C8911yescharacteristic
931#394C22×C8911yescharacteristic
932#394C22×C8911yescharacteristic
933#394C22×C8911yescharacteristic, complemented
934#394C22×C8911yescharacteristic, complemented
935#394C22×C8911yescharacteristic, complemented
936#393C22×C8911yescharacteristic
937#393C22×C8911yescharacteristic, complemented
938#392C22×C8911yescharacteristic
939#392C22×C8911yescharacteristic
940#392C22×C8911yescharacteristic
941#391C22×C8911yescharacteristic, complemented
942#390C22×C8911yescharacteristic
943#390C22×C8911yescharacteristic
944#390C22×C8911yescharacteristic
945#390C22×C8911yescharacteristic
946#390C22×C8911yescharacteristic
947#390C22×C8911yescharacteristic
948#390C22×C8911yescharacteristic
949#390C22×C8911yescharacteristic
950#390C22×C8911yescharacteristic, complemented
951#389C22×C8911yescharacteristic, complemented
952#389C22×C8911yescharacteristic, complemented
953#389C22×C8911yescharacteristic, complemented
954#389C22×C8911yescharacteristic, complemented
955#388C22×C8911yescharacteristic
956#388C22×C8911yescharacteristic
957#388C22×C8911yescharacteristic
958#388C22×C8911yescharacteristic
959#388C22×C8911yescharacteristic
960#388C22×C8911yescharacteristic
961#388C22×C8911yescharacteristic
962#388C22×C8911yescharacteristic
963#388C22×C8911yescharacteristic
964#388C22×C8911yescharacteristic
965#388C22×C8911yescharacteristic
966#388C22×C8911yescharacteristic
967#388C22×C8911yescharacteristic
968#388C22×C8911yescharacteristic
969#388C22×C8911yescharacteristic
970#388C22×C8911yescharacteristic
971#388C22×C8911yescharacteristic
972#388C22×C8911yescharacteristic, complemented
973#388C22×C8911yescharacteristic, complemented
974#388C22×C8911yescharacteristic, complemented
975#388C22×C8911yescharacteristic, complemented
976#388C22×C8911yescharacteristic, complemented
977#388C22×C8911yescharacteristic, complemented
978#388C22×C8911yescharacteristic, complemented
979#387C22×C8911yescharacteristic, complemented
980#387C22×C8911yescharacteristic, complemented
981#387C22×C8911yescharacteristic, complemented
982#387C22×C8911yescharacteristic, complemented
983#386C22×C8911yescharacteristic
984#386C22×C8911yescharacteristic
985#386C22×C8911yescharacteristic
986#386C22×C8911yescharacteristic
987#386C22×C8911yescharacteristic
988#386C22×C8911yescharacteristic
989#386C22×C8911yescharacteristic
990#386C22×C8911yescharacteristic
991#386C22×C8911yescharacteristic
992#386C22×C8911yescharacteristic, complemented
993#386C22×C8911yescharacteristic, complemented
994#386C22×C8911yescharacteristic, complemented
995#385C22×C8911yescharacteristic
996#385C22×C8911yescharacteristic
997#385C22×C8911yescharacteristic, complemented
998#385C22×C8911yescharacteristic, complemented
999#384C22×C8911yescharacteristic, complemented
1000#382C22×C8911yescharacteristic, complemented
1001#381C22×C8911yescharacteristic
1002#380C22×C8911yescharacteristic
1003#380C22×C8911yescharacteristic, complemented
1004#380C22×C8911yescharacteristic, complemented
1005#379C22×C8911yescharacteristic
1006C4×C4⋊C4C22×C8911yescharacteristic, complemented
1007C4×C4⋊C4C22×C8911yescharacteristic, complemented
1008C4×C4⋊C4C22×C8911yescharacteristic, complemented
1009C4×C4⋊C4C22×C8911yescharacteristic, complemented
1010C4×C4⋊C4C22×C8911yescharacteristic, complemented
1011C4×C22⋊C4C22×C8911yescharacteristic
1012C4×C22⋊C4C22×C8911yescharacteristic
1013C4×C22⋊C4C22×C8911yescharacteristic
1014C4×C22⋊C4C22×C8911yescharacteristic, complemented
1015C4×C22⋊C4C22×C8911yescharacteristic, complemented
1016C4×C22⋊C4C22×C8911yescharacteristic, complemented
1017C4×C22⋊C4C22×C8911yescharacteristic, complemented
1018C4×C22⋊C4C22×C8911yescharacteristic, complemented
1019#376C22×C8911yescharacteristic, complemented
1020C2×#95C22×C8911yescharacteristic
1021C2×#95C22×C8911yescharacteristic
1022C2×#95C22×C8911yescharacteristic, complemented
1023C25C23×C8911yescharacteristic
1024C22×Q8C23×C8911yescharacteristic
1025C22×Q8C23×C8911yescharacteristic
1026C22×D4C23×C8911yescharacteristic
1027C22×D4C23×C8911yescharacteristic
1028C22×D4C23×C8911yescharacteristic
1029C22×D4C23×C8911yescharacteristic
1030C22×D4C23×C8911yescharacteristic
1031C22×D4C23×C8911yescharacteristic
1032C22×D4C23×C8911yescharacteristic
1033C22×D4C23×C8911yescharacteristic
1034C22×D4C23×C8911yescharacteristic
1035C22×D4C23×C8911yescharacteristic
1036C22×D4C23×C8911yescharacteristic
1037C22×D4C23×C8911yescharacteristic
1038C23×C4C23×C8911yescharacteristic
1039C23×C4C23×C8911yescharacteristic
1040C23×C4C23×C8911yescharacteristic
1041C23×C4C23×C8911yescharacteristic
1042C23×C4C23×C8911yescharacteristic
1043C23×C4C23×C8911yescharacteristic
1044C23×C4C23×C8911yescharacteristic
1045C23×C4C23×C8911yescharacteristic
1046C23×C4C23×C8911yescharacteristic
1047C23×C4C23×C8911yescharacteristic
1048C23×C4C23×C8911yescharacteristic
1049C4⋊Q8—42no—
1050#126—24no—
1051#126—24no—
1052#126—24no—
1053#126—24no—
1054#125—24no—
1055#124—24no—
1056#124—24no—
1057#124—24no—
1058#124—42no—
1059#123—24no—
1060#123—24no—
1061#123—24no—
1062#123—24no—
1063#123—24no—
1064C22⋊Q8—24no—
1065C22⋊Q8—24no—
1066#121—24no—
1067#121—24no—
1068#121—24no—
1069#121—24no—
1070#121—24no—
1071#121—42no—
1072#121—42no—
1073#120—24no—
1074#120—24no—
1075#120—24no—
1076C4×Q8—24no—
1077C4×D4—24no—
1078C4×D4—24no—
1079C4×D4—24no—
1080C4×D4—24no—
1081C4×D4—24no—
1082C4×D4D4×C8918yescomplemented
1083#117—24no—
1084#117—24no—
1085C2×C4⋊C4—42no—
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×C4⋊C4C23×C8911yescharacteristic
1106C2×C4⋊C4C23×C8911yescharacteristic
1107C2×C4⋊C4C23×C8911yescharacteristic
1108C2×C4⋊C4C23×C8911yescharacteristic
1109C2×C4⋊C4C23×C8911yescharacteristic
1110C2×C4⋊C4C23×C8911yescharacteristic
1111C2×C4⋊C4C23×C8911yescharacteristic
1112C2×C4⋊C4C23×C8911yescharacteristic
1113C2×C4⋊C4C23×C8911yescharacteristic
1114C2×C4⋊C4C23×C8911yescharacteristic
1115C2×C4⋊C4C23×C8911yescharacteristic
1116C2×C22⋊C4—24no—
1117C2×C22⋊C4—24no—
1118C2×C22⋊C4—42no—
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×C22⋊C4C23×C8911yescharacteristic
1167C2×C22⋊C4C23×C8911yescharacteristic
1168C2×C22⋊C4C23×C8911yescharacteristic
1169C2×C22⋊C4C23×C8911yescharacteristic
1170C2×C22⋊C4C23×C8911yescharacteristic
1171C2×C42—24no—
1172C2×C42C23×C8911yescharacteristic
1173C2×C42C23×C8911yescharacteristic
1174C2×C42C23×C8911yescharacteristic
1175C2×C42C23×C8911yescharacteristic
1176C2×C42C23×C8911yescharacteristic
1177C2×C42C23×C8911yescharacteristic
1178C2×C42C23×C8911yescharacteristic
1179C2×C42C23×C8911yescharacteristic
1180C2×C42C23×C8911yescharacteristic
1181C2×C42C23×C8911yescharacteristic
1182C2×C42C23×C8911yescharacteristic
1183C2×C42C23×C8911yescharacteristic
1184C2×C42C23×C8911yescharacteristic
1185C2×C42C23×C8911yescharacteristic
1186C2×C42C23×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
1212#95C23×C8911yescharacteristic
1213#95C23×C8911yescharacteristic
1214#95C23×C8911yescharacteristic
1215#95C23×C8911yescharacteristic
1216#95C23×C8911yescharacteristic
1217#95C23×C8911yescharacteristic
1218#95C23×C8911yescharacteristic
1219C24—22no—
1220C24—22no—
1221C24—22no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—41no—
1226C24C24×C8911yescharacteristic
1227C24C24×C8911yescharacteristic
1228C24C24×C8911yescharacteristic
1229C24C24×C8911yescharacteristic
1230C24C24×C8911yescharacteristic
1231C24C24×C8911yescharacteristic
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—41no—
1236C2×Q8—41no—
1237C2×Q8—41no—
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—22no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—22no—
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×D4C2×D4×C8914yes—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—41no—
1286C22×C4—41no—
1287C22×C4—41no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—41no—
1291C22×C4—41no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—41no—
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×C4C2×D4×C8914yes—
1305C22×C4C2×D4×C8914yes—
1306C22×C4#41×C8914yes—
1307C22×C4C24×C8911yescharacteristic
1308C22×C4C24×C8911yescharacteristic
1309C22×C4C24×C8911yescharacteristic
1310C22×C4C24×C8911yescharacteristic
1311C22×C4C24×C8911yescharacteristic
1312C22×C4C24×C8911yescharacteristic
1313C22×C4C24×C8911yescharacteristic
1314C22×C4C24×C8911yescharacteristic
1315C22×C4C24×C8911yescharacteristic
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
1332C4⋊C4—22no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—41no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—41no—
1360C4⋊C4—41no—
1361C4⋊C4C2×D4×C8914yes—
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—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—22no—
1385C22⋊C4—22no—
1386C22⋊C4—22no—
1387C22⋊C4—22no—
1388C22⋊C4—22no—
1389C22⋊C4—22no—
1390C22⋊C4—22no—
1391C22⋊C4—22no—
1392C22⋊C4—22no—
1393C22⋊C4—22no—
1394C22⋊C4—22no—
1395C22⋊C4—22no—
1396C22⋊C4—22no—
1397C22⋊C4—22no—
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⋊C4C2×D4×C8914yes—
1412C22⋊C4C2×D4×C8914yes—
1413C22⋊C4#41×C8914yes—
1414C42—22no—
1415C42—22no—
1416C42—22no—
1417C42—22no—
1418C42—22no—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—41no—
1423C42—41no—
1424C42—41no—
1425C42—41no—
1426C42—41no—
1427C42—41no—
1428C42C2×D4×C8914yes—
1429C23—21no—
1430C23—21no—
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—44no—
1468C23—44no—
1469C23—44no—
1470C23—82no—
1471C23—82no—
1472C23—82no—
1473C23—82no—
1474C23C22×D4×C8912yes—
1475C23C22×D4×C8912yes—
1476C23C2×#41×C8912yes—
1477C23C2×#41×C8912yes—
1478C23C25×C8911yescharacteristic
1479Q8—44no—
1480Q8—82no—
1481D4—28no—
1482D4—44no—
1483D4—44no—
1484D4—44no—
1485D4—82no—
1486D4—82no—
1487D4—82no—
1488D4—82no—
1489D4—82no—
1490D4—82no—
1491D4—82no—
1492D4—82no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
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—44no—
1559C2×C4—44no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—44no—
1563C2×C4—44no—
1564C2×C4—82no—
1565C2×C4—82no—
1566C2×C4—82no—
1567C2×C4—82no—
1568C2×C4—82no—
1569C2×C4C22×D4×C8912yes—
1570C2×C4C22×D4×C8912yes—
1571C2×C4C22×D4×C8912yes—
1572C2×C4C22×D4×C8912yes—
1573C2×C4C22×D4×C8912yes—
1574C2×C4C2×#41×C8912yes—
1575C2×C4C2×#41×C8912yes—
1576C2×C4C2×#41×C8912yes—
1577C2×C4C2×#41×C8912yes—
1578C2×C4H(5,𝔽2)×C8912yes—
1579C22—22no—
1580C22—22no—
1581C22—22no—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
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—88no—
1621C22#532×C8914yes—
1622C22C23×D4×C8911yescharacteristic
1623C22C22×#41×C8911yescharacteristic
1624C22C22×#41×C8911yescharacteristic
1625C22C2×H(5,𝔽2)×C8911yescharacteristic
1626C22#585×C8911yescharacteristic
1627C22#585×C8911yescharacteristic
1628C22#585×C8911yescharacteristic
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—22no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—41no—
1646C4—41no—
1647C4—41no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C2—24no—
1655C2—42no—
1656C2—81no—
1657C2—81no—
1658C2—81no—
1659C2—81no—
1660C2C2×#532×C8911yescharacteristic
1661C2C89×#348511yescharacteristic
1662C2C89×#348811yescharacteristic
1663C2C89×#349311yescharacteristic
1664C2C89×#350511yescharacteristic
1665C2C89×#351411yescharacteristic
1666C2C89×#352111yescharacteristic
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. C2×#538×C89C2semidirect
2. C2×#529×C89C2semidirect
3. C89×#2610C2semidirect
4. C89×#2604C2semidirect
5. C89×#2602C2semidirect
6. C89×#2601C2semidirect
7. C89×#2559C2semidirect
8. C89×#2558C2semidirect
9. C89×#2555C2semidirect
10. C89×#2554C2semidirect
11. C89×#2545C2semidirect
12. C89×#2543C2semidirect
13. C89×#2539C2semidirect
14. C89×#2534C2semidirect
15. C89×#2521C2semidirect
16. C89×#2519C2semidirect
17. C89×#2512C2semidirect
18. C89×#2500C2semidirect
19. C89×#2498C2semidirect
20. C89×#2491C2semidirect
21. C89×#2488C2semidirect
22. C89×#2472C2semidirect
23. C89×#2440C2semidirect
24. C89×#2425C2semidirect
25. C89×#2424C2semidirect
26. C89×#2416C2semidirect
27. C89×#2325C2semidirect
28. C89×#2321C2semidirect
29. C4×#123×C89C2semidirect
30. C2×#388×C89C2semidirect
31. C89×#2275C2semidirect
33. C2×C4⋊Q8×C89C22semidirect
37. C2×#126×C89C22semidirect
38. C2×#126×C89C22semidirect
39. C2×#125×C89C22semidirect
43. C2×#124×C89C22semidirect
57. C2×#121×C89C22semidirect
61. C2×C4×Q8×C89C22semidirect
67. C2×C4×D4×C89C22semidirect
68. C2×#117×C89C22semidirect
69. C2×#117×C89C22semidirect
75. #400×C89C22semidirect
76. #400×C89C22semidirect
79. #398×C89C22semidirect
80. #398×C89C22semidirect
81. #398×C89C22semidirect
83. #397×C89C22semidirect
84. #397×C89C22semidirect
88. #396×C89C22semidirect
89. #396×C89C22semidirect
90. #396×C89C22semidirect
91. #395×C89C22semidirect
92. #395×C89C22semidirect
99. #394×C89C22semidirect
100. #394×C89C22semidirect
101. #394×C89C22semidirect
103. #393×C89C22semidirect
107. #391×C89C22semidirect
116. #390×C89C22semidirect
117. #389×C89C22semidirect
118. #389×C89C22semidirect
119. #389×C89C22semidirect
120. #389×C89C22semidirect
138. #388×C89C22semidirect
139. #388×C89C22semidirect
140. #388×C89C22semidirect
141. #388×C89C22semidirect
142. #388×C89C22semidirect
143. #388×C89C22semidirect
144. #388×C89C22semidirect
145. #387×C89C22semidirect
146. #387×C89C22semidirect
147. #387×C89C22semidirect
148. #387×C89C22semidirect
158. #386×C89C22semidirect
159. #386×C89C22semidirect
160. #386×C89C22semidirect
163. #385×C89C22semidirect
164. #385×C89C22semidirect
165. #384×C89C22semidirect
166. #382×C89C22semidirect
169. #380×C89C22semidirect
170. #380×C89C22semidirect
172. C4×C4⋊C4×C89C22semidirect
173. C4×C4⋊C4×C89C22semidirect
174. C4×C4⋊C4×C89C22semidirect
175. C4×C4⋊C4×C89C22semidirect
176. C4×C4⋊C4×C89C22semidirect
180. C4×C22⋊C4×C89C22semidirect
181. C4×C22⋊C4×C89C22semidirect
182. C4×C22⋊C4×C89C22semidirect
183. C4×C22⋊C4×C89C22semidirect
184. C4×C22⋊C4×C89C22semidirect
185. #376×C89C22semidirect
188. C2×#95×C89C22semidirect
248. C4×D4×C89D4semidirect
820. #35465C89direct (N × H)
834. C2×#538C2×C89semidirect
835. C2×#529C2×C89semidirect
836. #2610C2×C89semidirect
837. #2604C2×C89semidirect
838. #2602C2×C89semidirect
839. #2601C2×C89semidirect
840. #2559C2×C89semidirect
841. #2558C2×C89semidirect
842. #2555C2×C89semidirect
843. #2554C2×C89semidirect
844. #2545C2×C89semidirect
845. #2543C2×C89semidirect
846. #2539C2×C89semidirect
847. #2534C2×C89semidirect
848. #2521C2×C89semidirect
849. #2519C2×C89semidirect
850. #2512C2×C89semidirect
851. #2500C2×C89semidirect
852. #2498C2×C89semidirect
853. #2491C2×C89semidirect
854. #2488C2×C89semidirect
855. #2472C2×C89semidirect
856. #2440C2×C89semidirect
857. #2425C2×C89semidirect
858. #2424C2×C89semidirect
859. #2416C2×C89semidirect
860. #2325C2×C89semidirect
861. #2321C2×C89semidirect
862. C4×#123C2×C89semidirect
863. C2×#388C2×C89semidirect
864. #2275C2×C89semidirect
865. C89#35465direct (N × H)
867. C2×C4⋊Q8C22×C89semidirect
871. C2×#126C22×C89semidirect
872. C2×#126C22×C89semidirect
873. C2×#125C22×C89semidirect
877. C2×#124C22×C89semidirect
891. C2×#121C22×C89semidirect
895. C2×C4×Q8C22×C89semidirect
901. C2×C4×D4C22×C89semidirect
902. C2×#117C22×C89semidirect
903. C2×#117C22×C89semidirect
909. #400C22×C89semidirect
910. #400C22×C89semidirect
913. #398C22×C89semidirect
914. #398C22×C89semidirect
915. #398C22×C89semidirect
917. #397C22×C89semidirect
918. #397C22×C89semidirect
922. #396C22×C89semidirect
923. #396C22×C89semidirect
924. #396C22×C89semidirect
925. #395C22×C89semidirect
926. #395C22×C89semidirect
933. #394C22×C89semidirect
934. #394C22×C89semidirect
935. #394C22×C89semidirect
937. #393C22×C89semidirect
941. #391C22×C89semidirect
950. #390C22×C89semidirect
951. #389C22×C89semidirect
952. #389C22×C89semidirect
953. #389C22×C89semidirect
954. #389C22×C89semidirect
972. #388C22×C89semidirect
973. #388C22×C89semidirect
974. #388C22×C89semidirect
975. #388C22×C89semidirect
976. #388C22×C89semidirect
977. #388C22×C89semidirect
978. #388C22×C89semidirect
979. #387C22×C89semidirect
980. #387C22×C89semidirect
981. #387C22×C89semidirect
982. #387C22×C89semidirect
992. #386C22×C89semidirect
993. #386C22×C89semidirect
994. #386C22×C89semidirect
997. #385C22×C89semidirect
998. #385C22×C89semidirect
999. #384C22×C89semidirect
1000. #382C22×C89semidirect
1003. #380C22×C89semidirect
1004. #380C22×C89semidirect
1006. C4×C4⋊C4C22×C89semidirect
1007. C4×C4⋊C4C22×C89semidirect
1008. C4×C4⋊C4C22×C89semidirect
1009. C4×C4⋊C4C22×C89semidirect
1010. C4×C4⋊C4C22×C89semidirect
1014. C4×C22⋊C4C22×C89semidirect
1015. C4×C22⋊C4C22×C89semidirect
1016. C4×C22⋊C4C22×C89semidirect
1017. C4×C22⋊C4C22×C89semidirect
1018. C4×C22⋊C4C22×C89semidirect
1019. #376C22×C89semidirect
1022. C2×#95C22×C89semidirect
1082. C4×D4D4×C89semidirect

Maximal subgroups

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

subgroupindex
C2×#538×C892
C2×#529×C892
C89×#26102
C89×#26042
C89×#26022
C89×#26012
C89×#25592
C89×#25582
C89×#25552
C89×#25542
C89×#25452
C89×#25432
C89×#25392
C89×#25342
C89×#25212
C89×#25192
C89×#25122
C89×#25002
C89×#24982
C89×#24912
C89×#24882
C89×#24722
C89×#24402
C89×#24252
C89×#24242
C89×#24162
C89×#23252
C89×#23212
C4×#123×C892
C2×#388×C892
C89×#22752
#3546589