Finite Group Databasebeta

← #36717970

Subgroups — #36717970

Order 22784.

2522 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152186C211yesmaximal, characteristic
2#26023440C211yesmaximal, characteristic, complemented
3#26023425C211yesmaximal, characteristic, complemented
4#26023408C211yesmaximal, characteristic, complemented
5#26023401C211yesmaximal, characteristic, complemented
6#26023367C211yesmaximal, characteristic, complemented
7#26023332C211yesmaximal, characteristic, complemented
8#26023320C211yesmaximal, characteristic, complemented
9#26023299C211yesmaximal, characteristic, complemented
10#26023271C211yesmaximal, characteristic, complemented
11#26023268C211yesmaximal, characteristic, complemented
12#26023257C211yesmaximal, characteristic, complemented
13#26023247C211yesmaximal, characteristic, complemented
14#26023188C211yesmaximal, characteristic, complemented
15#26023177C211yesmaximal, characteristic, complemented
16#26023159C211yesmaximal, characteristic, complemented
17C4⋊C4×C22⋊D89C211yesmaximal, characteristic, complemented
18#26023066C211yesmaximal, characteristic, complemented
19#26023037C211yesmaximal, characteristic, complemented
20#26023028C211yesmaximal, characteristic, complemented
21#26023022C211yesmaximal, characteristic, complemented
22#26022958C211yesmaximal, characteristic, complemented
23#26022949C211yesmaximal, characteristic, complemented
24#26022944C211yesmaximal, characteristic, complemented
25#26022919C211yesmaximal, characteristic, complemented
26#26022910C211yesmaximal, characteristic, complemented
27#26022910C211yesmaximal, characteristic, complemented
28#26022850C211yesmaximal, characteristic, complemented
29C4×#15667981C211yesmaximal, characteristic, complemented
30C4×#15667981C211yesmaximal, characteristic, complemented
31C2×#385×C89C211yesmaximal, characteristic, complemented
32#19152186C4116yescomplemented
33C2×#15668005C2211yescharacteristic
34C2×#15668005C2211yescharacteristic
35C2×#15667998C2211yescharacteristic
36C2×#15667998C2211yescharacteristic
37C2×#15667994C2211yescharacteristic
38C2×#15667994C2211yescharacteristic
39C2×#15667991C2211yescharacteristic
40C2×#15667986C2211yescharacteristic
41C2×#15667985C2211yescharacteristic
42C2×#15667985C2211yescharacteristic
43C2×#15667981C2211yescharacteristic
44C2×#15667981C2211yescharacteristic
45C2×#15667977C2211yescharacteristic, complemented
46C2×#15667974C2211yescharacteristic, complemented
47C2×C4×C22⋊D89C2211yescharacteristic
48C2×C4×C22⋊D89C2211yescharacteristic
49C2×C4×C22⋊D89C2211yescharacteristic
50C2×C4×C22⋊D89C2211yescharacteristic
51C2×C4×C22⋊D89C2211yescharacteristic
52C2×C4×C22⋊D89C2211yescharacteristic
53C2×C4×C22⋊D89C2211yescharacteristic
54C2×C4×C22⋊D89C2211yescharacteristic
55C2×C4×C22⋊D89C2211yescharacteristic
56C2×C4×C22⋊D89C2211yescharacteristic
57C2×#15667970C2211yescharacteristic, complemented
58C2×C4⋊C4×D89C2211yescharacteristic, complemented
59#19151503C2211yescharacteristic, complemented
60#19151502C2211yescharacteristic, complemented
61#19151502C2211yescharacteristic, complemented
62#19151499C2211yescharacteristic, complemented
63#19151498C2211yescharacteristic
64#19151498C2211yescharacteristic
65#19151498C2211yescharacteristic
66#19151498C2211yescharacteristic
67#19151495C2211yescharacteristic, complemented
68#19151495C2211yescharacteristic, complemented
69#19151494C2211yescharacteristic, complemented
70#19151494C2211yescharacteristic, complemented
71#19151493C2211yescharacteristic, complemented
72#19151493C2211yescharacteristic, complemented
73#19151493C2211yescharacteristic, complemented
74#19151493C2211yescharacteristic, complemented
75#19151492C2211yescharacteristic
76#19151492C2211yescharacteristic
77#19151492C2211yescharacteristic
78#19151492C2211yescharacteristic
79#19151491C2211yescharacteristic
80#19151491C2211yescharacteristic
81#19151491C2211yescharacteristic
82#19151491C2211yescharacteristic
83#19151491C2211yescharacteristic
84#19151491C2211yescharacteristic
85#19151491C2211yescharacteristic
86#19151491C2211yescharacteristic
87#19151490C2211yescharacteristic, complemented
88#19151490C2211yescharacteristic, complemented
89#19151488C2211yescharacteristic, complemented
90#19151488C2211yescharacteristic, complemented
91#19151488C2211yescharacteristic, complemented
92#19151488C2211yescharacteristic, complemented
93#19151487C2211yescharacteristic, complemented
94#19151487C2211yescharacteristic, complemented
95#19151486C2211yescharacteristic
96#19151486C2211yescharacteristic
97#19151486C2211yescharacteristic
98#19151486C2211yescharacteristic
99#19151485C2211yescharacteristic, complemented
100#19151485C2211yescharacteristic, complemented
101#19151483C2211yescharacteristic, complemented
102#19151483C2211yescharacteristic, complemented
103#19151481C2211yescharacteristic, complemented
104#19151481C2211yescharacteristic, complemented
105#19151480C2211yescharacteristic, complemented
106#19151480C2211yescharacteristic, complemented
107#19151479C2211yescharacteristic, complemented
108#19151479C2211yescharacteristic, complemented
109#19151479C2211yescharacteristic, complemented
110#19151479C2211yescharacteristic, complemented
111#19151477C2211yescharacteristic
112#19151477C2211yescharacteristic
113#19151477C2211yescharacteristic
114#19151477C2211yescharacteristic
115#19151477C2211yescharacteristic
116#19151477C2211yescharacteristic
117#19151477C2211yescharacteristic
118#19151477C2211yescharacteristic
119#19151476C2211yescharacteristic, complemented
120#19151476C2211yescharacteristic, complemented
121#19151474C2211yescharacteristic
122#19151474C2211yescharacteristic
123#19151474C2211yescharacteristic
124#19151474C2211yescharacteristic
125#19151472C2211yescharacteristic, complemented
126#19151472C2211yescharacteristic, complemented
127#19151471C2211yescharacteristic
128#19151471C2211yescharacteristic
129#19151471C2211yescharacteristic
130#19151471C2211yescharacteristic
131#19151471C2211yescharacteristic
132#19151471C2211yescharacteristic
133#19151471C2211yescharacteristic
134#19151471C2211yescharacteristic
135#19151469C2211yescharacteristic, complemented
136#19151469C2211yescharacteristic, complemented
137#19151469C2211yescharacteristic, complemented
138#19151469C2211yescharacteristic, complemented
139#19151467C2211yescharacteristic, complemented
140#19151465C2211yescharacteristic, complemented
141#19151463C2211yescharacteristic, complemented
142#19151462C2211yescharacteristic, complemented
143#19151460C2211yescharacteristic, complemented
144#19151458C2211yescharacteristic
145#19151458C2211yescharacteristic
146#19151457C2211yescharacteristic, complemented
147#19151455C2211yescharacteristic, complemented
148#19151455C2211yescharacteristic, complemented
149#19151454C2211yescharacteristic
150#19151454C2211yescharacteristic
151C4⋊C4×Dic89C2211yescharacteristic, complemented
152C4⋊C4×Dic89C2211yescharacteristic, complemented
153C4⋊C4×Dic89C2211yescharacteristic, complemented
154C4⋊C4×Dic89C2211yescharacteristic, complemented
155#19151449C2211yescharacteristic, complemented
156#19151449C2211yescharacteristic, complemented
157#19151449C2211yescharacteristic, complemented
158C4×C22⋊Dic89C2211yescharacteristic
159C4×C22⋊Dic89C2211yescharacteristic
160C4×C22⋊Dic89C2211yescharacteristic
161C4×C22⋊Dic89C2211yescharacteristic
162C4×C22⋊Dic89C2211yescharacteristic
163C4×C22⋊Dic89C2211yescharacteristic
164C4×C22⋊Dic89C2211yescharacteristic
165C4×C22⋊Dic89C2211yescharacteristic
166C4×C22⋊Dic89C2211yescharacteristic
167C4×C22⋊Dic89C2211yescharacteristic
168#19151445C2211yescharacteristic, complemented
169#19151445C2211yescharacteristic, complemented
170#19151445C2211yescharacteristic, complemented
171#19151443C2211yescharacteristic, complemented
172#95×D89C2211yescharacteristic, complemented
173C24×C4×C89C2211yescharacteristic
174C22×C4⋊C4×C89C2211yescharacteristic
175C22×C4⋊C4×C89C2211yescharacteristic
176C22×C22⋊C4×C89C2211yescharacteristic
177C22×C22⋊C4×C89C2211yescharacteristic
178#385×C89C2211yescharacteristic
179#385×C89C2211yescharacteristic
180#385×C89C2211yescharacteristic
181#385×C89C2211yescharacteristic
182#385×C89C2211yescharacteristic
183#385×C89C2211yescharacteristic
184#385×C89C2211yescharacteristic
185#385×C89C2211yescharacteristic
186C2×#95×C89C2211yescharacteristic
187C2×#95×C89C2211yescharacteristic
188C22×Dic178C2311yescharacteristic
189C22×D356C2311yescharacteristic
190C22×C22⋊D89C2311yescharacteristic
191C22×C22⋊D89C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C4×D89C2311yescharacteristic
197C22×C4×D89C2311yescharacteristic
198C22×C4×D89C2311yescharacteristic
199C22×C4×D89C2311yescharacteristic
200C22×C4×D89C2311yescharacteristic
201C22×C4×D89C2311yescharacteristic
202#15668005C2×C418yescomplemented
203#15668005C2×C418yescomplemented
204#15667998C2×C418yescomplemented
205#15667998C2×C418yescomplemented
206#15667994C2×C418yescomplemented
207#15667994C2×C418yescomplemented
208#15667991C2×C418yescomplemented
209#15667986C2×C418yescomplemented
210#15667985C2×C418yescomplemented
211#15667985C2×C418yescomplemented
212#15667981C2×C418yescomplemented
213#15667981C2×C418yescomplemented
214#15667977—42no—
215#15667974—42no—
216C4×C22⋊D89—42no—
217C4×C22⋊D89—42no—
218C4×C22⋊D89—42no—
219C4×C22⋊D89—42no—
220C4×C22⋊D89—42no—
221C4×C22⋊D89—42no—
222C4×C22⋊D89—42no—
223C4×C22⋊D89—42no—
224C4×C22⋊D89C2×C418yescomplemented
225C4×C22⋊D89C2×C418yescomplemented
226#15667970—42no—
227C2×C4⋊Dic89C2311yescharacteristic
228C2×C4⋊Dic89C2311yescharacteristic
229C2×C4⋊Dic89C2311yescharacteristic
230C2×C4⋊Dic89C2311yescharacteristic
231C2×C4⋊Dic89C2311yescharacteristic
232C2×C4⋊Dic89C2311yescharacteristic
233C2×#13083553C2311yescharacteristic
234C2×#13083553C2311yescharacteristic
235C2×#13083553C2311yescharacteristic
236C2×#13083553C2311yescharacteristic
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×#13083553C2311yescharacteristic
243C2×#13083553C2311yescharacteristic
244C2×#13083553C2311yescharacteristic
245C2×#13083553C2311yescharacteristic
246C2×#13083553C2311yescharacteristic
247C2×#13083553C2311yescharacteristic
248C2×#13083553C2311yescharacteristic
249C4⋊C4×D89—42no—
250C2×C22⋊Dic89C2311yescharacteristic
251C2×C22⋊Dic89C2311yescharacteristic
252C2×C22⋊Dic89C2311yescharacteristic
253C2×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×C22⋊Dic89C2311yescharacteristic
256C2×C22⋊Dic89C2311yescharacteristic
257C2×C22⋊Dic89C2311yescharacteristic
258C2×C22⋊Dic89C2311yescharacteristic
259C2×C22⋊Dic89C2311yescharacteristic
260C2×C22⋊Dic89C2311yescharacteristic
261C2×C22⋊Dic89C2311yescharacteristic
262C2×C22⋊Dic89C2311yescharacteristic
263C2×C22⋊Dic89C2311yescharacteristic
264C2×C22⋊Dic89C2311yescharacteristic
265C2×C22⋊Dic89C2311yescharacteristic
266C2×C22⋊Dic89C2311yescharacteristic
267C2×C22⋊Dic89C2311yescharacteristic
268C2×#13083551C2311yescharacteristic
269C2×#13083551C2311yescharacteristic
270C2×#13083551C2311yescharacteristic
271C2×#13083551C2311yescharacteristic
272C2×#13083551C2311yescharacteristic
273C2×#13083551C2311yescharacteristic
274C2×#13083551C2311yescharacteristic
275C2×#13083551C2311yescharacteristic
276C2×#13083551C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C2×#13083551C2311yescharacteristic
280C2×#13083551C2311yescharacteristic
281C2×#13083551C2311yescharacteristic
282C2×#13083551C2311yescharacteristic
283C2×#13083551C2311yescharacteristic
284C2×C4×Dic89C2311yescharacteristic
285C2×C4×Dic89C2311yescharacteristic
286C2×C4×Dic89C2311yescharacteristic
287C2×C4×Dic89C2311yescharacteristic
288C2×C4×Dic89C2311yescharacteristic
289C2×C4×Dic89C2311yescharacteristic
290C2×C4×Dic89C2311yescharacteristic
291C2×C4×Dic89C2311yescharacteristic
292C2×C4×Dic89C2311yescharacteristic
293C2×C4×Dic89C2311yescharacteristic
294C2×C4×Dic89C2311yescharacteristic
295C2×C4×Dic89C2311yescharacteristic
296C2×C4×Dic89C2311yescharacteristic
297C2×C4×Dic89C2311yescharacteristic
298C2×C4×Dic89C2311yescharacteristic
299C2×C4×Dic89C2311yescharacteristic
300C2×C4×Dic89C2311yescharacteristic
301C2×C4×Dic89C2311yescharacteristic
302#15667919C2311yescharacteristic
303#15667919C2311yescharacteristic
304#15667919C2311yescharacteristic
305#15667919C2311yescharacteristic
306#15667919C2311yescharacteristic
307#15667919C2311yescharacteristic
308#15667919C2311yescharacteristic
309#15667919C2311yescharacteristic
310#15667919C2311yescharacteristic
311#15667919C2311yescharacteristic
312#15667919C2311yescharacteristic
313#15667919C2311yescharacteristic
314#15667919C2311yescharacteristic
315#15667919C2311yescharacteristic
316#15667919C2311yescharacteristic
317#15667919C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330#15667919C2311yescharacteristic
331#15667919C2311yescharacteristic
332#15667919C2311yescharacteristic
333#15667919C2311yescharacteristic
334C25×C89C2311yescharacteristic
335C23×C4×C89—42no—
336C23×C4×C89—42no—
337C23×C4×C89—42no—
338C23×C4×C89C2311yescharacteristic
339C23×C4×C89C2311yescharacteristic
340C23×C4×C89C2311yescharacteristic
341C23×C4×C89C2311yescharacteristic
342C23×C4×C89C2311yescharacteristic
343C23×C4×C89C2311yescharacteristic
344C23×C4×C89C2311yescharacteristic
345C23×C4×C89C2311yescharacteristic
346C23×C4×C89C2311yescharacteristic
347C23×C4×C89C2311yescharacteristic
348C2×C4⋊C4×C89—42no—
349C2×C4⋊C4×C89—42no—
350C2×C4⋊C4×C89C2311yescharacteristic
351C2×C4⋊C4×C89C2311yescharacteristic
352C2×C4⋊C4×C89C2311yescharacteristic
353C2×C4⋊C4×C89C2311yescharacteristic
354C2×C4⋊C4×C89C2311yescharacteristic
355C2×C4⋊C4×C89C2311yescharacteristic
356C2×C4⋊C4×C89C2311yescharacteristic
357C2×C4⋊C4×C89C2311yescharacteristic
358C2×C22⋊C4×C89—42no—
359C2×C22⋊C4×C89C2×C418yescomplemented
360C2×C22⋊C4×C89C2311yescharacteristic
361C2×C22⋊C4×C89C2311yescharacteristic
362C2×C22⋊C4×C89C2311yescharacteristic
363C2×C22⋊C4×C89C2311yescharacteristic
364C2×C22⋊C4×C89C2311yescharacteristic
365C2×C22⋊C4×C89C2311yescharacteristic
366C2×C22⋊C4×C89C2311yescharacteristic
367C2×C22⋊C4×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
376C23×D89C2411yescharacteristic
377C23×D89C2411yescharacteristic
378C2×Dic178—41no—
379C2×Dic178—41no—
380C2×Dic178C22×C414yescomplemented
381C2×D356—41no—
382C2×D356—41no—
383C2×D356C22×C414yescomplemented
384C2×C22⋊D89—22no—
385C2×C22⋊D89—22no—
386C2×C22⋊D89—22no—
387C2×C22⋊D89—22no—
388C2×C22⋊D89—41no—
389C2×C22⋊D89—41no—
390C2×C22⋊D89—41no—
391C2×C22⋊D89—41no—
392C2×C22⋊D89—41no—
393C2×C22⋊D89—41no—
394C2×C22⋊D89—41no—
395C2×C22⋊D89—41no—
396C2×C22⋊D89C22×C414yes—
397C2×C22⋊D89C22×C414yes—
398C2×C22⋊D89C22×C414yes—
399C2×C22⋊D89C22×C414yes—
400C2×C22⋊D89C22×C414yes—
401C2×C22⋊D89C22×C414yes—
402C22×Dic89C2411yescharacteristic
403C22×Dic89C2411yescharacteristic
404C22×Dic89C2411yescharacteristic
405C22×Dic89C2411yescharacteristic
406C22×Dic89C2411yescharacteristic
407C22×Dic89C2411yescharacteristic
408C22×Dic89C2411yescharacteristic
409C22×Dic89C2411yescharacteristic
410C22×Dic89C2411yescharacteristic
411C22×Dic89C2411yescharacteristic
412C22×Dic89C2411yescharacteristic
413C22×Dic89C2411yescharacteristic
414C22×Dic89C2411yescharacteristic
415C22×Dic89C2411yescharacteristic
416C2×C4×D89—22no—
417C2×C4×D89—22no—
418C2×C4×D89—41no—
419C2×C4×D89—41no—
420C2×C4×D89—41no—
421C2×C4×D89—41no—
422C2×C4×D89—41no—
423C2×C4×D89—41no—
424C2×C4×D89—41no—
425C2×C4×D89—41no—
426C2×C4×D89—41no—
427C2×C4×D89—41no—
428C2×C4×D89—41no—
429C2×C4×D89—41no—
430C2×C4×D89—41no—
431C2×C4×D89—41no—
432C2×C4×D89C22×C414yescomplemented
433C2×C4×D89C22×C414yescomplemented
434C4⋊Dic89—41no—
435C4⋊Dic89—41no—
436C4⋊Dic89—41no—
437C4⋊Dic89—41no—
438C4⋊Dic89C22×C414yescomplemented
439C4⋊Dic89C22×C414yescomplemented
440#13083553—22no—
441#13083553—22no—
442#13083553—41no—
443#13083553—41no—
444#13083553—41no—
445#13083553—41no—
446#13083553—41no—
447#13083553—41no—
448#13083553—41no—
449#13083553—41no—
450#13083553—41no—
451#13083553—41no—
452#13083553C22×C414yescomplemented
453#13083553C22×C414yescomplemented
454#13083553C22×C414yescomplemented
455#13083553C22×C414yescomplemented
456C22⋊Dic89—22no—
457C22⋊Dic89—22no—
458C22⋊Dic89—22no—
459C22⋊Dic89—22no—
460C22⋊Dic89—41no—
461C22⋊Dic89—41no—
462C22⋊Dic89—41no—
463C22⋊Dic89—41no—
464C22⋊Dic89—41no—
465C22⋊Dic89—41no—
466C22⋊Dic89—41no—
467C22⋊Dic89—41no—
468C22⋊Dic89C22×C414yes—
469C22⋊Dic89C22×C414yes—
470C22⋊Dic89C22×C414yes—
471C22⋊Dic89C22×C414yes—
472C22⋊Dic89C22×C414yes—
473C22⋊Dic89C22×C414yes—
474#13083551—22no—
475#13083551—22no—
476#13083551—41no—
477#13083551—41no—
478#13083551—41no—
479#13083551—41no—
480#13083551—41no—
481#13083551—41no—
482#13083551—41no—
483#13083551—41no—
484#13083551—41no—
485#13083551—41no—
486#13083551C22×C414yescomplemented
487#13083551C22×C414yescomplemented
488#13083551C22×C414yescomplemented
489#13083551C22×C414yescomplemented
490C4×Dic89—22no—
491C4×Dic89—22no—
492C4×Dic89—41no—
493C4×Dic89—41no—
494C4×Dic89—41no—
495C4×Dic89—41no—
496C4×Dic89—41no—
497C4×Dic89—41no—
498C4×Dic89—41no—
499C4×Dic89—41no—
500C4×Dic89—41no—
501C4×Dic89—41no—
502C4×Dic89—41no—
503C4×Dic89—41no—
504C4×Dic89—41no—
505C4×Dic89—41no—
506C4×Dic89C22×C414yescomplemented
507C4×Dic89C22×C414yescomplemented
508C24×C89—22no—
509C24×C89—22no—
510C24×C89—41no—
511C24×C89—41no—
512C24×C89—41no—
513C24×C89—41no—
514C24×C89C22×C414yes—
515C24×C89C2411yescharacteristic
516C24×C89C2411yescharacteristic
517C24×C89C2411yescharacteristic
518C22×C4×C89—22no—
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—41no—
529C22×C4×C89—41no—
530C22×C4×C89—41no—
531C22×C4×C89—41no—
532C22×C4×C89—41no—
533C22×C4×C89—41no—
534C22×C4×C89—41no—
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—416no—
547C22×C4×C89C22×C414yes—
548C22×C4×C89C22×C414yes—
549C22×C4×C89C2411yescharacteristic
550C22×C4×C89C2411yescharacteristic
551C22×C4×C89C2411yescharacteristic
552C22×C4×C89C2411yescharacteristic
553C22×C4×C89C2411yescharacteristic
554C22×C4×C89C2411yescharacteristic
555C22×C4×C89C2411yescharacteristic
556C22×C4×C89C2411yescharacteristic
557C22×C4×C89C2411yescharacteristic
558C22×C4×C89C2411yescharacteristic
559C22×C4×C89C2411yescharacteristic
560C22×C4×C89C2411yescharacteristic
561C4⋊C4×C89—22no—
562C4⋊C4×C89—22no—
563C4⋊C4×C89—22no—
564C4⋊C4×C89—22no—
565C4⋊C4×C89—41no—
566C4⋊C4×C89—41no—
567C4⋊C4×C89—41no—
568C4⋊C4×C89—41no—
569C22⋊C4×C89—41no—
570C22⋊C4×C89—41no—
571C22⋊C4×C89—41no—
572C22⋊C4×C89—41no—
573C22⋊C4×C89C22×C414yes—
574C22⋊C4×C89C22×C414yes—
575C22⋊C4×C89C22×C414yes—
576C22⋊C4×C89C22×C414yes—
577C23×C89—21no—
578C23×C89—21no—
579C23×C89—21no—
580C23×C89—21no—
581C23×C89—28no—
582C23×C89—21no—
583C23×C89—21no—
584C23×C89—21no—
585C23×C89—21no—
586C23×C89—21no—
587C23×C89—21no—
588C23×C89—21no—
589C23×C89—21no—
590C23×C89—21no—
591C23×C89—21no—
592C23×C89—21no—
593C23×C89—21no—
594C23×C89—44no—
595C23×C89—44no—
596C23×C89—44no—
597C23×C89—44no—
598C23×C89—44no—
599C23×C89—44no—
600C23×C89C23×C412yes—
601C23×C89C23×C412yes—
602C23×C89C23×C412yes—
603C23×C89H(5,𝔽2)12yes—
604C23×C892−1+412yes—
605C23×C89C2511yescharacteristic
606C22×D89—21no—
607C22×D89—21no—
608C22×D89—21no—
609C22×D89—21no—
610C22×D89—21no—
611C22×D89—21no—
612C22×D89—21no—
613C22×D89—21no—
614C22×D89—21no—
615C22×D89—21no—
616C22×D89—21no—
617C22×D89—21no—
618C22×D89C23×C412yes—
619C22×D89C23×C412yes—
620C2×C4×C89—21no—
621C2×C4×C89—21no—
622C2×C4×C89—21no—
623C2×C4×C89—21no—
624C2×C4×C89—21no—
625C2×C4×C89—21no—
626C2×C4×C89—21no—
627C2×C4×C89—21no—
628C2×C4×C89—21no—
629C2×C4×C89—21no—
630C2×C4×C89—21no—
631C2×C4×C89—21no—
632C2×C4×C89—21no—
633C2×C4×C89—21no—
634C2×C4×C89—21no—
635C2×C4×C89—21no—
636C2×C4×C89—21no—
637C2×C4×C89—21no—
638C2×C4×C89—21no—
639C2×C4×C89—21no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—21no—
644C2×C4×C89—21no—
645C2×C4×C89—21no—
646C2×C4×C89—21no—
647C2×C4×C89—21no—
648C2×C4×C89—21no—
649C2×C4×C89—21no—
650C2×C4×C89—44no—
651C2×C4×C89—44no—
652C2×C4×C89—44no—
653C2×C4×C89—44no—
654C2×C4×C89—44no—
655C2×C4×C89—44no—
656C2×C4×C89—44no—
657C2×C4×C89—44no—
658C2×C4×C89—82no—
659C2×C4×C89—82no—
660C2×C4×C89C23×C412yes—
661C2×C4×C89C23×C412yes—
662C2×C4×C89C23×C412yes—
663C2×C4×C89C23×C412yes—
664C2×C4×C89H(5,𝔽2)12yes—
665C2×C4×C89H(5,𝔽2)12yes—
666C22⋊D89—28no—
667C22⋊D89—28no—
668C22⋊D89—44no—
669C22⋊D89—44no—
670C22⋊D89—44no—
671C22⋊D89—44no—
672C2×Dic89—21no—
673C2×Dic89—21no—
674C2×Dic89—21no—
675C2×Dic89—21no—
676C2×Dic89—21no—
677C2×Dic89—21no—
678C2×Dic89—21no—
679C2×Dic89—21no—
680C2×Dic89—21no—
681C2×Dic89—21no—
682C2×Dic89—21no—
683C2×Dic89—21no—
684C2×Dic89—21no—
685C2×Dic89—21no—
686C2×Dic89—21no—
687C2×Dic89—21no—
688C2×Dic89—21no—
689C2×Dic89—21no—
690C2×Dic89—21no—
691C2×Dic89—21no—
692C2×Dic89—21no—
693C2×Dic89—21no—
694C2×Dic89—21no—
695C2×Dic89—21no—
696C2×Dic89—21no—
697C2×Dic89—21no—
698C2×Dic89—21no—
699C2×Dic89—21no—
700C2×Dic89—21no—
701C2×Dic89—21no—
702C2×Dic89—21no—
703C2×Dic89—21no—
704C2×Dic89—21no—
705C2×Dic89—21no—
706C2×Dic89—21no—
707C2×Dic89—21no—
708C2×Dic89C23×C412yes—
709C2×Dic89C23×C412yes—
710C2×Dic89C23×C412yes—
711C2×Dic89C23×C412yes—
712C2×Dic89C23×C412yes—
713C2×Dic89C23×C412yes—
714D356—44no—
715C4×D89—44no—
716C4×D89—44no—
717C4×D89—82no—
718C4×D89—82no—
719C4×D89—82no—
720C4×D89—82no—
721Dic178—44no—
722C22×C89—22no—
723C22×C89—22no—
724C22×C89—22no—
725C22×C89—22no—
726C22×C89—22no—
727C22×C89—22no—
728C22×C89—22no—
729C22×C89—22no—
730C22×C89—22no—
731C22×C89—22no—
732C22×C89—22no—
733C22×C89—22no—
734C22×C89—416no—
735C22×C89—41no—
736C22×C89—41no—
737C22×C89—41no—
738C22×C89—41no—
739C22×C89—41no—
740C22×C89—41no—
741C22×C89—41no—
742C22×C89—41no—
743C22×C89#52014yes—
744C22×C89C24×C411yescharacteristic
745C22×C89C2×H(5,𝔽2)11yescharacteristic
746C22×C89C2×H(5,𝔽2)11yescharacteristic
747C22×C89C2×H(5,𝔽2)11yescharacteristic
748C22×C89C2×2−1+411yescharacteristic
749C22×C89#58511yescharacteristic
750C22×C89#58511yescharacteristic
751C2×D89—22no—
752C2×D89—22no—
753C2×D89—22no—
754C2×D89—22no—
755C2×D89—22no—
756C2×D89—22no—
757C2×D89—41no—
758C2×D89—41no—
759C2×D89—41no—
760C2×D89—41no—
761C2×D89—41no—
762C2×D89—41no—
763C2×D89—41no—
764C2×D89—41no—
765C4×C89—22no—
766C4×C89—22no—
767C4×C89—22no—
768C4×C89—22no—
769C4×C89—22no—
770C4×C89—22no—
771C4×C89—41no—
772C4×C89—41no—
773C4×C89—41no—
774C4×C89—41no—
775C4×C89—41no—
776C4×C89—41no—
777Dic89—22no—
778Dic89—22no—
779Dic89—22no—
780Dic89—22no—
781Dic89—22no—
782Dic89—22no—
783Dic89—41no—
784Dic89—41no—
785Dic89—41no—
786Dic89—41no—
787Dic89—41no—
788Dic89—41no—
789Dic89—41no—
790Dic89—41no—
791#34416—891nomaximal, Sylow
792C2×C89—24no—
793C2×C89—42no—
794C2×C89—42no—
795C2×C89C2×#52011yescharacteristic
796C2×C89C4×H(5,𝔽2)11yescharacteristic
797C2×C89C4×H(5,𝔽2)11yescharacteristic
798C2×C89#353211yescharacteristic
799C2×C89#353311yescharacteristic
800C2×C89#354111yescharacteristic
801C2×C89#354111yescharacteristic
802D89—42no—
803D89—42no—
804C2×#538—891no—
805#2383—891no—
806#2379—891no—
807#2377—891no—
808#2376—891no—
809#2373—891no—
810#2368—891no—
811#2367—891no—
812#2364—891no—
813#2361—891no—
814#2361—891no—
815#2360—891no—
816#2359—891no—
817#2353—891no—
818#2352—891no—
819#2349—891no—
820D4×C4⋊C4—891no—
821#2337—891no—
822#2335—891no—
823#2334—891no—
824#2334—891no—
825#2326—891no—
826#2325—891no—
827#2324—891no—
828#2322—891no—
829#2321—891no—
830#2321—891no—
831#2312—891no—
832C4×#120—891no—
833C4×#120—891no—
834C2×#385D8911yescharacteristic, complemented
835C89#3441611yescharacteristic, complemented, Sylow
836C24×C4C2×D8911yescharacteristic
837#538—8916no—
838C2×#126—891no—
839C2×#126—891no—
840C2×#124—891no—
841C2×#124—891no—
842C2×#123—891no—
843C2×#123—891no—
844C2×C22⋊Q8—891no—
845C2×#121—891no—
846C2×#121—891no—
847C2×#121—891no—
848C2×#120—891no—
849C2×#120—891no—
850C2×C4×Q8—891no—
851C2×C4×D4—891no—
852C2×C4×D4—891no—
853C2×C4×D4—891no—
854C2×C4×D4—891no—
855C2×C4×D4—891no—
856C2×C4×D4—891no—
857C2×C4×D4—891no—
858C2×C4×D4—891no—
859C2×C4×D4—891no—
860C2×C4×D4—891no—
861C2×C4×D4—891no—
862C2×#117—891no—
863C22×C4⋊C4—891no—
864C22×C4⋊C4C2×D8911yescharacteristic
865C22×C4⋊C4C2×D8911yescharacteristic
866C22×C22⋊C4C2×D8911yescharacteristic
867C22×C22⋊C4C2×D8911yescharacteristic
868#391—891no—
869#391—891no—
870#391—891no—
871#390—891no—
872#390—891no—
873#390—891no—
874#390—891no—
875#390—891no—
876#389—891no—
877#389—891no—
878#389—891no—
879#389—891no—
880#389—891no—
881#389—891no—
882#389—891no—
883#389—891no—
884#388—891no—
885#388—891no—
886#388—891no—
887#388—891no—
888#388—891no—
889#388—891no—
890#388—891no—
891#388—891no—
892#388—891no—
893#388—891no—
894#388—891no—
895#388—891no—
896#388—891no—
897#388—891no—
898#388—891no—
899#388—891no—
900#388—891no—
901#388—891no—
902#388—891no—
903#388—891no—
904#388—891no—
905#388—891no—
906#388—891no—
907#388—891no—
908#387—891no—
909#387—891no—
910#387—891no—
911#387—891no—
912#387—891no—
913#387—891no—
914#387—891no—
915#387—891no—
916#387—891no—
917#387—891no—
918#387—891no—
919#387—891no—
920#386—891no—
921#386—891no—
922#386—891no—
923#386—891no—
924#386—891no—
925#386—891no—
926#386—891no—
927#386—891no—
928#386—891no—
929#386—891no—
930#386—891no—
931#386—891no—
932#386—891no—
933#386—891no—
934#385—891no—
935#385—891no—
936#385—891no—
937#385—891no—
938#385—891no—
939#385—891no—
940#385—891no—
941#385—891no—
942#385—891no—
943#385—891no—
944#385—891no—
945#385—891no—
946#385—891no—
947#385—891no—
948#385C2×D8911yescharacteristic
949#385C2×D8911yescharacteristic
950#385C2×D8911yescharacteristic
951#385C2×D8911yescharacteristic
952#385C2×D8911yescharacteristic
953#385C2×D8911yescharacteristic
954#385C2×D8911yescharacteristic
955#385C2×D8911yescharacteristic
956#384—891no—
957#383—891no—
958#382—891no—
959#382—891no—
960#381—891no—
961#380—891no—
962#380—891no—
963#380—891no—
964#380—891no—
965#380—891no—
966#379—891no—
967#379—891no—
968C4×C4⋊C4—891no—
969C4×C4⋊C4—891no—
970C4×C4⋊C4—891no—
971C4×C4⋊C4—891no—
972C4×C4⋊C4—891no—
973C4×C4⋊C4—891no—
974C4×C4⋊C4—891no—
975C4×C22⋊C4—891no—
976C4×C22⋊C4—891no—
977C4×C22⋊C4—891no—
978C4×C22⋊C4—891no—
979C4×C22⋊C4—891no—
980C4×C22⋊C4—891no—
981C4×C22⋊C4—891no—
982C4×C22⋊C4—891no—
983C4×C22⋊C4—891no—
984C4×C22⋊C4—891no—
985C4×C22⋊C4—891no—
986C4×C22⋊C4—891no—
987C4×C22⋊C4—891no—
988#376—891no—
989C2×#95—891no—
990C2×#95C2×D8911yescharacteristic
991C2×#95C2×D8911yescharacteristic
992C25C22×D8911yescharacteristic
993C22×Q8—891no—
994C22×D4—891no—
995C22×D4—891no—
996C22×D4—891no—
997C22×D4—891no—
998C22×D4—891no—
999C22×D4—891no—
1000C22×D4—891no—
1001C23×C4—42no—
1002C23×C4—42no—
1003C23×C4—42no—
1004C23×C4—891no—
1005C23×C4—891no—
1006C23×C4—891no—
1007C23×C4—891no—
1008C23×C4—891no—
1009C23×C4—891no—
1010C23×C4C22×D8911yescharacteristic
1011C23×C4C22×D8911yescharacteristic
1012C23×C4C22×D8911yescharacteristic
1013C23×C4C22×D8911yescharacteristic
1014C23×C4C22×D8911yescharacteristic
1015C23×C4C22×D8911yescharacteristic
1016C23×C4C22×D8911yescharacteristic
1017C23×C4C22×D8911yescharacteristic
1018C23×C4C22×D8911yescharacteristic
1019C23×C4C22×D8911yescharacteristic
1020#126—898no—
1021#126—898no—
1022#124—898no—
1023#124—898no—
1024#123—898no—
1025#123—898no—
1026C22⋊Q8—898no—
1027#121—898no—
1028#121—898no—
1029#121—898no—
1030#120—898no—
1031#120—898no—
1032C4×Q8—3562no—
1033C4×D4—898no—
1034C4×D4—898no—
1035C4×D4—3562no—
1036C4×D4—3562no—
1037C4×D4—3562no—
1038C4×D4—3562no—
1039C4×D4—3562no—
1040C4×D4—3562no—
1041C4×D4—3562no—
1042C4×D4—3562no—
1043C4×D4—3562no—
1044#117—3562no—
1045C2×C4⋊C4—42no—
1046C2×C4⋊C4—42no—
1047C2×C4⋊C4—891no—
1048C2×C4⋊C4—891no—
1049C2×C4⋊C4—891no—
1050C2×C4⋊C4—891no—
1051C2×C4⋊C4—891no—
1052C2×C4⋊C4—891no—
1053C2×C4⋊C4—891no—
1054C2×C4⋊C4—891no—
1055C2×C4⋊C4—891no—
1056C2×C4⋊C4—891no—
1057C2×C4⋊C4—891no—
1058C2×C4⋊C4—891no—
1059C2×C4⋊C4—891no—
1060C2×C4⋊C4—891no—
1061C2×C4⋊C4—891no—
1062C2×C4⋊C4—891no—
1063C2×C4⋊C4—891no—
1064C2×C4⋊C4—891no—
1065C2×C4⋊C4—891no—
1066C2×C4⋊C4—891no—
1067C2×C4⋊C4—891no—
1068C2×C4⋊C4—891no—
1069C2×C4⋊C4—3562no—
1070C2×C4⋊C4C22×D8911yescharacteristic
1071C2×C4⋊C4C22×D8911yescharacteristic
1072C2×C4⋊C4C22×D8911yescharacteristic
1073C2×C4⋊C4C22×D8911yescharacteristic
1074C2×C4⋊C4C22×D8911yescharacteristic
1075C2×C4⋊C4C22×D8911yescharacteristic
1076C2×C4⋊C4C22×D8911yescharacteristic
1077C2×C4⋊C4C22×D8911yescharacteristic
1078C2×C22⋊C4—42no—
1079C2×C22⋊C4—891no—
1080C2×C22⋊C4—891no—
1081C2×C22⋊C4—891no—
1082C2×C22⋊C4—891no—
1083C2×C22⋊C4—891no—
1084C2×C22⋊C4—891no—
1085C2×C22⋊C4—891no—
1086C2×C22⋊C4—891no—
1087C2×C22⋊C4—891no—
1088C2×C22⋊C4—891no—
1089C2×C22⋊C4—891no—
1090C2×C22⋊C4—891no—
1091C2×C22⋊C4—891no—
1092C2×C22⋊C4—891no—
1093C2×C22⋊C4—891no—
1094C2×C22⋊C4—891no—
1095C2×C22⋊C4—891no—
1096C2×C22⋊C4—891no—
1097C2×C22⋊C4—891no—
1098C2×C22⋊C4—891no—
1099C2×C22⋊C4—891no—
1100C2×C22⋊C4—891no—
1101C2×C22⋊C4—891no—
1102C2×C22⋊C4—891no—
1103C2×C22⋊C4—891no—
1104C2×C22⋊C4—891no—
1105C2×C22⋊C4—891no—
1106C2×C22⋊C4—891no—
1107C2×C22⋊C4—891no—
1108C2×C22⋊C4—891no—
1109C2×C22⋊C4—891no—
1110C2×C22⋊C4—891no—
1111C2×C22⋊C4—891no—
1112C2×C22⋊C4—891no—
1113C2×C22⋊C4C4×D8918yescomplemented
1114C2×C22⋊C4C22×D8911yescharacteristic
1115C2×C22⋊C4C22×D8911yescharacteristic
1116C2×C22⋊C4C22×D8911yescharacteristic
1117C2×C22⋊C4C22×D8911yescharacteristic
1118C2×C22⋊C4C22×D8911yescharacteristic
1119C2×C22⋊C4C22×D8911yescharacteristic
1120C2×C22⋊C4C22×D8911yescharacteristic
1121C2×C22⋊C4C22×D8911yescharacteristic
1122C2×C42—891no—
1123C2×C42—891no—
1124C2×C42—891no—
1125C2×C42—891no—
1126C2×C42—891no—
1127C2×C42—891no—
1128C2×C42—891no—
1129C2×C42—891no—
1130C2×C42—891no—
1131C2×C42—891no—
1132C2×C42—891no—
1133C2×C42—891no—
1134C2×C42—891no—
1135C2×C42—891no—
1136C2×C42—891no—
1137C2×C42—891no—
1138C2×C42—891no—
1139C2×C42—891no—
1140#95—891no—
1141#95—891no—
1142#95—891no—
1143#95—891no—
1144#95—891no—
1145#95—891no—
1146#95—891no—
1147#95—891no—
1148#95—891no—
1149#95—891no—
1150#95—891no—
1151#95—891no—
1152#95—891no—
1153#95—891no—
1154#95—891no—
1155#95—891no—
1156#95—891no—
1157#95—891no—
1158#95—891no—
1159#95—891no—
1160#95—891no—
1161#95—891no—
1162#95—891no—
1163#95—891no—
1164#95—891no—
1165#95—891no—
1166#95—891no—
1167#95—891no—
1168#95—891no—
1169#95—891no—
1170#95—891no—
1171#95—891no—
1172#95C22×D8911yescharacteristic
1173#95C22×D8911yescharacteristic
1174#95C22×D8911yescharacteristic
1175#95C22×D8911yescharacteristic
1176#95C22×D8911yescharacteristic
1177#95C22×D8911yescharacteristic
1178#95C22×D8911yescharacteristic
1179#95C22×D8911yescharacteristic
1180C24—22no—
1181C24—22no—
1182C24—41no—
1183C24—41no—
1184C24—41no—
1185C24—41no—
1186C24—891no—
1187C24—891no—
1188C24C2×C4×D8914yes—
1189C24C23×D8911yescharacteristic
1190C24C23×D8911yescharacteristic
1191C24C23×D8911yescharacteristic
1192C2×Q8—894no—
1193C2×Q8—3561no—
1194C2×Q8—3561no—
1195C2×D4—894no—
1196C2×D4—894no—
1197C2×D4—894no—
1198C2×D4—894no—
1199C2×D4—894no—
1200C2×D4—894no—
1201C2×D4—894no—
1202C2×D4—3561no—
1203C2×D4—3561no—
1204C2×D4—3561no—
1205C2×D4—3561no—
1206C2×D4—3561no—
1207C2×D4—3561no—
1208C2×D4—3561no—
1209C2×D4—3561no—
1210C2×D4—3561no—
1211C2×D4—3561no—
1212C2×D4—1782no—
1213C2×D4—1782no—
1214C2×D4—1782no—
1215C2×D4—1782no—
1216C22×C4—22no—
1217C22×C4—22no—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—22no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—41no—
1227C22×C4—41no—
1228C22×C4—41no—
1229C22×C4—41no—
1230C22×C4—41no—
1231C22×C4—41no—
1232C22×C4—41no—
1233C22×C4—41no—
1234C22×C4—41no—
1235C22×C4—41no—
1236C22×C4—41no—
1237C22×C4—41no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—416no—
1245C22×C4—891no—
1246C22×C4—891no—
1247C22×C4—891no—
1248C22×C4—891no—
1249C22×C4—891no—
1250C22×C4—891no—
1251C22×C4—894no—
1252C22×C4—894no—
1253C22×C4—891no—
1254C22×C4—891no—
1255C22×C4—891no—
1256C22×C4—891no—
1257C22×C4—891no—
1258C22×C4—891no—
1259C22×C4—891no—
1260C22×C4—891no—
1261C22×C4—3561no—
1262C22×C4—3561no—
1263C22×C4—3561no—
1264C22×C4—3561no—
1265C22×C4—3561no—
1266C22×C4—3561no—
1267C22×C4—3561no—
1268C22×C4—3561no—
1269C22×C4—3561no—
1270C22×C4—3561no—
1271C22×C4—3561no—
1272C22×C4—3561no—
1273C22×C4—3561no—
1274C22×C4—3561no—
1275C22×C4—1782no—
1276C22×C4—1782no—
1277C22×C4C2×C4×D8914yes—
1278C22×C4C2×C4×D8914yes—
1279C22×C4C23×D8911yescharacteristic
1280C22×C4C23×D8911yescharacteristic
1281C22×C4C23×D8911yescharacteristic
1282C22×C4C23×D8911yescharacteristic
1283C22×C4C23×D8911yescharacteristic
1284C22×C4C23×D8911yescharacteristic
1285C22×C4C23×D8911yescharacteristic
1286C22×C4C23×D8911yescharacteristic
1287C22×C4C23×D8911yescharacteristic
1288C22×C4C23×D8911yescharacteristic
1289C22×C4C23×D8911yescharacteristic
1290C22×C4C23×D8911yescharacteristic
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—41no—
1298C4⋊C4—41no—
1299C4⋊C4—894no—
1300C4⋊C4—894no—
1301C4⋊C4—894no—
1302C4⋊C4—894no—
1303C4⋊C4—894no—
1304C4⋊C4—894no—
1305C4⋊C4—3561no—
1306C4⋊C4—3561no—
1307C4⋊C4—3561no—
1308C4⋊C4—3561no—
1309C4⋊C4—3561no—
1310C4⋊C4—3561no—
1311C4⋊C4—3561no—
1312C4⋊C4—3561no—
1313C4⋊C4—3561no—
1314C4⋊C4—3561no—
1315C4⋊C4—3561no—
1316C4⋊C4—3561no—
1317C4⋊C4—3561no—
1318C4⋊C4—3561no—
1319C4⋊C4—1782no—
1320C4⋊C4—1782no—
1321C22⋊C4—41no—
1322C22⋊C4—41no—
1323C22⋊C4—41no—
1324C22⋊C4—41no—
1325C22⋊C4—894no—
1326C22⋊C4—894no—
1327C22⋊C4—894no—
1328C22⋊C4—894no—
1329C22⋊C4—894no—
1330C22⋊C4—894no—
1331C22⋊C4—894no—
1332C22⋊C4—894no—
1333C22⋊C4—894no—
1334C22⋊C4—894no—
1335C22⋊C4—3561no—
1336C22⋊C4—3561no—
1337C22⋊C4—3561no—
1338C22⋊C4—3561no—
1339C22⋊C4—3561no—
1340C22⋊C4—3561no—
1341C22⋊C4—3561no—
1342C22⋊C4—3561no—
1343C22⋊C4—3561no—
1344C22⋊C4—3561no—
1345C22⋊C4—3561no—
1346C22⋊C4—3561no—
1347C22⋊C4—3561no—
1348C22⋊C4—3561no—
1349C22⋊C4—3561no—
1350C22⋊C4—3561no—
1351C22⋊C4—3561no—
1352C22⋊C4—3561no—
1353C22⋊C4—1782no—
1354C22⋊C4—1782no—
1355C22⋊C4—1782no—
1356C22⋊C4—1782no—
1357C22⋊C4—1782no—
1358C22⋊C4—1782no—
1359C22⋊C4C2×C4×D8914yes—
1360C22⋊C4C2×C4×D8914yes—
1361C22⋊C4C2×C4×D8914yes—
1362C22⋊C4C2×C4×D8914yes—
1363C42—894no—
1364C42—894no—
1365C42—3561no—
1366C42—3561no—
1367C42—3561no—
1368C42—3561no—
1369C42—3561no—
1370C42—3561no—
1371C42—3561no—
1372C42—3561no—
1373C42—3561no—
1374C42—3561no—
1375C42—3561no—
1376C42—3561no—
1377C42—3561no—
1378C42—3561no—
1379C42—1782no—
1380C42—1782no—
1381C23—21no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—28no—
1398C23—44no—
1399C23—44no—
1400C23—44no—
1401C23—44no—
1402C23—44no—
1403C23—44no—
1404C23—892no—
1405C23—892no—
1406C23—1781no—
1407C23—1781no—
1408C23—1781no—
1409C23—1781no—
1410C23—1781no—
1411C23—1781no—
1412C23—1781no—
1413C23—1781no—
1414C23—1781no—
1415C23—1781no—
1416C23—1781no—
1417C23—1781no—
1418C23C22×C4×D8912yes—
1419C23C22×C4×D8912yes—
1420C23C22×C4×D8912yes—
1421C23#1566805712yes—
1422C23#1566806012yes—
1423C23C24×D8911yescharacteristic
1424Q8—3564no—
1425D4—3564no—
1426D4—3564no—
1427D4—3564no—
1428D4—3564no—
1429D4—3564no—
1430D4—1788no—
1431D4—1788no—
1432C2×C4—21no—
1433C2×C4—21no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—21no—
1437C2×C4—21no—
1438C2×C4—21no—
1439C2×C4—21no—
1440C2×C4—21no—
1441C2×C4—21no—
1442C2×C4—21no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—44no—
1463C2×C4—44no—
1464C2×C4—44no—
1465C2×C4—44no—
1466C2×C4—44no—
1467C2×C4—44no—
1468C2×C4—44no—
1469C2×C4—44no—
1470C2×C4—82no—
1471C2×C4—82no—
1472C2×C4—892no—
1473C2×C4—892no—
1474C2×C4—892no—
1475C2×C4—892no—
1476C2×C4—892no—
1477C2×C4—892no—
1478C2×C4—3564no—
1479C2×C4—3564no—
1480C2×C4—1781no—
1481C2×C4—1781no—
1482C2×C4—1781no—
1483C2×C4—1781no—
1484C2×C4—1781no—
1485C2×C4—1781no—
1486C2×C4—1781no—
1487C2×C4—1781no—
1488C2×C4—1781no—
1489C2×C4—1781no—
1490C2×C4—1781no—
1491C2×C4—1781no—
1492C2×C4—1781no—
1493C2×C4—1781no—
1494C2×C4—1781no—
1495C2×C4—1781no—
1496C2×C4—1781no—
1497C2×C4—1781no—
1498C2×C4—1781no—
1499C2×C4—1781no—
1500C2×C4—1781no—
1501C2×C4—1781no—
1502C2×C4—1781no—
1503C2×C4—1781no—
1504C2×C4—1781no—
1505C2×C4—1781no—
1506C2×C4—1781no—
1507C2×C4—1781no—
1508C2×C4—1781no—
1509C2×C4—1781no—
1510C2×C4—1781no—
1511C2×C4—1781no—
1512C2×C4—1781no—
1513C2×C4—1781no—
1514C2×C4—1781no—
1515C2×C4—1781no—
1516C2×C4—7122no—
1517C2×C4—7122no—
1518C2×C4—7122no—
1519C2×C4—7122no—
1520C2×C4C22×C4×D8912yes—
1521C2×C4C22×C4×D8912yes—
1522C2×C4C22×C4×D8912yes—
1523C2×C4C22×C4×D8912yes—
1524C2×C4#1566805712yes—
1525C2×C4#1566805712yes—
1526C22—22no—
1527C22—22no—
1528C22—22no—
1529C22—22no—
1530C22—22no—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—22no—
1538C22—416no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—3561no—
1548C22—3561no—
1549C22—3561no—
1550C22—3561no—
1551C22—3561no—
1552C22—3561no—
1553C22—3561no—
1554C22—3561no—
1555C22—1782no—
1556C22—1782no—
1557C22—1782no—
1558C22—1782no—
1559C22—1782no—
1560C22—1782no—
1561C22#1915207914yes—
1562C22C23×C4×D8911yescharacteristic
1563C22C2×#1566805711yescharacteristic
1564C22C2×#1566805711yescharacteristic
1565C22C2×#1566805711yescharacteristic
1566C22C2×#1566806011yescharacteristic
1567C22#1915243411yescharacteristic
1568C22#1915243411yescharacteristic
1569C4—22no—
1570C4—22no—
1571C4—22no—
1572C4—22no—
1573C4—22no—
1574C4—22no—
1575C4—41no—
1576C4—41no—
1577C4—41no—
1578C4—41no—
1579C4—41no—
1580C4—41no—
1581C4—3561no—
1582C4—3561no—
1583C4—3561no—
1584C4—3561no—
1585C4—3561no—
1586C4—3561no—
1587C4—3561no—
1588C4—3561no—
1589C4—1782no—
1590C4—1782no—
1591C4—1782no—
1592C4—1782no—
1593C4—1782no—
1594C4—1782no—
1595C2—24no—
1596C2—42no—
1597C2—42no—
1598C2—3562no—
1599C2—3562no—
1600C2C2×#1915207911yescharacteristic
1601C2C4×#1566805711yescharacteristic
1602C2C4×#1566805711yescharacteristic
1603C2#2603440711yescharacteristic
1604C2#2603442311yescharacteristic
1605C2#2603454911yescharacteristic
1606C2#2603454911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutatorC22×C89C24×C4
FittingC2×#385×C89C2
socle, cosocleC23×C89C25
prime radicalC2×#19152186C2
hypercenterC2×#385D89
hypocenterC89#34416
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C23 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
2. #26023440C2semidirect
3. #26023425C2semidirect
4. #26023408C2semidirect
5. #26023401C2semidirect
6. #26023367C2semidirect
7. #26023332C2semidirect
8. #26023320C2semidirect
9. #26023299C2semidirect
10. #26023271C2semidirect
11. #26023268C2semidirect
12. #26023257C2semidirect
13. #26023247C2semidirect
14. #26023188C2semidirect
15. #26023177C2semidirect
16. #26023159C2semidirect
17. C4⋊C4×C22⋊D89C2semidirect
18. #26023066C2semidirect
19. #26023037C2semidirect
20. #26023028C2semidirect
21. #26023022C2semidirect
22. #26022958C2semidirect
23. #26022949C2semidirect
24. #26022944C2semidirect
25. #26022919C2semidirect
26. #26022910C2semidirect
27. #26022910C2semidirect
28. #26022850C2semidirect
29. C4×#15667981C2semidirect
30. C4×#15667981C2semidirect
31. C2×#385×C89C2semidirect
32. #19152186C4semidirect
45. C2×#15667977C22semidirect
46. C2×#15667974C22semidirect
57. C2×#15667970C22semidirect
58. C2×C4⋊C4×D89C22semidirect
59. #19151503C22semidirect
60. #19151502C22semidirect
61. #19151502C22semidirect
62. #19151499C22semidirect
67. #19151495C22semidirect
68. #19151495C22semidirect
69. #19151494C22semidirect
70. #19151494C22semidirect
71. #19151493C22semidirect
72. #19151493C22semidirect
73. #19151493C22semidirect
74. #19151493C22semidirect
87. #19151490C22semidirect
88. #19151490C22semidirect
89. #19151488C22semidirect
90. #19151488C22semidirect
91. #19151488C22semidirect
92. #19151488C22semidirect
93. #19151487C22semidirect
94. #19151487C22semidirect
99. #19151485C22semidirect
100. #19151485C22semidirect
101. #19151483C22semidirect
102. #19151483C22semidirect
103. #19151481C22semidirect
104. #19151481C22semidirect
105. #19151480C22semidirect
106. #19151480C22semidirect
107. #19151479C22semidirect
108. #19151479C22semidirect
109. #19151479C22semidirect
110. #19151479C22semidirect
119. #19151476C22semidirect
120. #19151476C22semidirect
125. #19151472C22semidirect
126. #19151472C22semidirect
135. #19151469C22semidirect
136. #19151469C22semidirect
137. #19151469C22semidirect
138. #19151469C22semidirect
139. #19151467C22semidirect
140. #19151465C22semidirect
141. #19151463C22semidirect
142. #19151462C22semidirect
143. #19151460C22semidirect
146. #19151457C22semidirect
147. #19151455C22semidirect
148. #19151455C22semidirect
151. C4⋊C4×Dic89C22semidirect
152. C4⋊C4×Dic89C22semidirect
153. C4⋊C4×Dic89C22semidirect
154. C4⋊C4×Dic89C22semidirect
155. #19151449C22semidirect
156. #19151449C22semidirect
157. #19151449C22semidirect
168. #19151445C22semidirect
169. #19151445C22semidirect
170. #19151445C22semidirect
171. #19151443C22semidirect
172. #95×D89C22semidirect
202. #15668005C2×C4semidirect
203. #15668005C2×C4semidirect
204. #15667998C2×C4semidirect
205. #15667998C2×C4semidirect
206. #15667994C2×C4semidirect
207. #15667994C2×C4semidirect
208. #15667991C2×C4semidirect
209. #15667986C2×C4semidirect
210. #15667985C2×C4semidirect
211. #15667985C2×C4semidirect
212. #15667981C2×C4semidirect
213. #15667981C2×C4semidirect
224. C4×C22⋊D89C2×C4semidirect
225. C4×C22⋊D89C2×C4semidirect
359. C2×C22⋊C4×C89C2×C4semidirect
380. C2×Dic178C22×C4semidirect
383. C2×D356C22×C4semidirect
432. C2×C4×D89C22×C4semidirect
433. C2×C4×D89C22×C4semidirect
438. C4⋊Dic89C22×C4semidirect
439. C4⋊Dic89C22×C4semidirect
452. #13083553C22×C4semidirect
453. #13083553C22×C4semidirect
454. #13083553C22×C4semidirect
455. #13083553C22×C4semidirect
486. #13083551C22×C4semidirect
487. #13083551C22×C4semidirect
488. #13083551C22×C4semidirect
489. #13083551C22×C4semidirect
506. C4×Dic89C22×C4semidirect
507. C4×Dic89C22×C4semidirect
834. C2×#385D89semidirect
835. C89#34416semidirect
1113. C2×C22⋊C4C4×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191521862
#260234402
#260234252
#260234082
#260234012
#260233672
#260233322
#260233202
#260232992
#260232712
#260232682
#260232572
#260232472
#260231882
#260231772
#260231592
C4⋊C4×C22⋊D892
#260230662
#260230372
#260230282
#260230222
#260229582
#260229492
#260229442
#260229192
#260229102
#260228502
C4×#156679812
C2×#385×C892
#3441689