Finite Group Databasebeta

← #36719464

Subgroups — #36719464

Order 22784.

2568 conjugacy classes of subgroups.

The subgroup lattice has 1656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152269C211yesmaximal, characteristic
2#26023428C211yesmaximal, characteristic, complemented
3#26023427C211yesmaximal, characteristic, complemented
4#26023411C211yesmaximal, characteristic, complemented
5#26023408C211yesmaximal, characteristic, complemented
6#26023315C211yesmaximal, characteristic, complemented
7#26023299C211yesmaximal, characteristic, complemented
8#26023296C211yesmaximal, characteristic, complemented
9#26023285C211yesmaximal, characteristic, complemented
10#26023271C211yesmaximal, characteristic, complemented
11#26023212C211yesmaximal, characteristic, complemented
12#26023192C211yesmaximal, characteristic, complemented
13#26023191C211yesmaximal, characteristic, complemented
14#26023176C211yesmaximal, characteristic, complemented
15#26023079C211yesmaximal, characteristic, complemented
16#26023076C211yesmaximal, characteristic, complemented
17#26023017C211yesmaximal, characteristic, complemented
18#26023015C211yesmaximal, characteristic, complemented
19#26022975C211yesmaximal, characteristic, complemented
20#26022973C211yesmaximal, characteristic, complemented
21#26022973C211yesmaximal, characteristic, complemented
22#26022952C211yesmaximal, characteristic, complemented
23#26022949C211yesmaximal, characteristic, complemented
24#26022944C211yesmaximal, characteristic, complemented
25#26022900C211yesmaximal, characteristic, complemented
26#26022884C211yesmaximal, characteristic, complemented
27#26022841C211yesmaximal, characteristic, complemented
28#26022764C211yesmaximal, characteristic, complemented
29#26022738C211yesmaximal, characteristic, complemented
30#26022690C211yesmaximal, characteristic, complemented
31C89×#2318C211yesmaximal, characteristic, complemented
32C22×#13083574C2211yescharacteristic
33C22×#13083574C2211yescharacteristic
34#19152269C4116yescomplemented
35C2×#15668009C2211yescharacteristic
36C2×#15668008C2211yescharacteristic
37C2×#15668008C2211yescharacteristic
38C2×#15667986C2211yescharacteristic
39C2×#15667986C2211yescharacteristic
40C2×#15667985C2211yescharacteristic
41C2×#15667985C2211yescharacteristic
42C2×#15667985C2211yescharacteristic
43C2×#15667985C2211yescharacteristic
44C2×C4×Dic178C2211yescharacteristic
45C2×#15667974C2211yescharacteristic
46C2×#15667974C2211yescharacteristic
47C2×#15667974C2211yescharacteristic
48C2×#15667974C2211yescharacteristic
49C2×C4×C22⋊D89C2211yescharacteristic
50C2×C4×C22⋊D89C2211yescharacteristic
51C2×C4×C22⋊D89C2211yescharacteristic
52C2×C4×C22⋊D89C2211yescharacteristic
53C2×#15667972C2211yescharacteristic
54C2×#15667972C2211yescharacteristic
55C2×#15667972C2211yescharacteristic
56C2×#15667972C2211yescharacteristic
57C2×#15667970C2211yescharacteristic
58C2×#15667969C2211yescharacteristic
59C2×C4⋊C4×D89C2211yescharacteristic
60C2×C42×D89C2211yescharacteristic
61#19151502C2211yescharacteristic
62#19151502C2211yescharacteristic
63#19151502C2211yescharacteristic
64#19151502C2211yescharacteristic
65#19151499C2211yescharacteristic
66#19151499C2211yescharacteristic
67#19151498C2211yescharacteristic
68#19151498C2211yescharacteristic
69#19151498C2211yescharacteristic
70#19151498C2211yescharacteristic
71#19151498C2211yescharacteristic
72#19151498C2211yescharacteristic
73#19151498C2211yescharacteristic
74#19151498C2211yescharacteristic
75#19151493C2211yescharacteristic
76#19151493C2211yescharacteristic
77#19151491C2211yescharacteristic
78#19151491C2211yescharacteristic
79#19151490C2211yescharacteristic
80#19151490C2211yescharacteristic
81#19151489C2211yescharacteristic
82#19151489C2211yescharacteristic
83#19151488C2211yescharacteristic
84#19151488C2211yescharacteristic
85#19151487C2211yescharacteristic
86#19151487C2211yescharacteristic
87#19151484C2211yescharacteristic
88#19151484C2211yescharacteristic
89#19151481C2211yescharacteristic
90#19151481C2211yescharacteristic
91#19151481C2211yescharacteristic
92#19151481C2211yescharacteristic
93#19151480C2211yescharacteristic
94#19151480C2211yescharacteristic
95#19151479C2211yescharacteristic
96#19151479C2211yescharacteristic
97#19151478C2211yescharacteristic
98#19151478C2211yescharacteristic
99#19151477C2211yescharacteristic
100#19151477C2211yescharacteristic
101#19151477C2211yescharacteristic
102#19151477C2211yescharacteristic
103#19151476C2211yescharacteristic
104#19151476C2211yescharacteristic
105#19151476C2211yescharacteristic
106#19151476C2211yescharacteristic
107#19151476C2211yescharacteristic
108#19151476C2211yescharacteristic
109#19151476C2211yescharacteristic
110#19151476C2211yescharacteristic
111#19151476C2211yescharacteristic
112#19151476C2211yescharacteristic
113#19151476C2211yescharacteristic
114#19151476C2211yescharacteristic
115#19151476C2211yescharacteristic
116#19151476C2211yescharacteristic
117#19151476C2211yescharacteristic
118#19151476C2211yescharacteristic
119#19151476C2211yescharacteristic
120#19151476C2211yescharacteristic
121#19151476C2211yescharacteristic
122#19151476C2211yescharacteristic
123#19151475C2211yescharacteristic
124#19151475C2211yescharacteristic
125#19151475C2211yescharacteristic
126#19151475C2211yescharacteristic
127#19151474C2211yescharacteristic
128#19151474C2211yescharacteristic
129#19151474C2211yescharacteristic
130#19151474C2211yescharacteristic
131#19151474C2211yescharacteristic
132#19151474C2211yescharacteristic
133#19151474C2211yescharacteristic
134#19151474C2211yescharacteristic
135#19151472C2211yescharacteristic
136#19151472C2211yescharacteristic
137#19151469C2211yescharacteristic
138#19151469C2211yescharacteristic
139#19151466C2211yescharacteristic
140#19151465C2211yescharacteristic
141#19151465C2211yescharacteristic
142#19151462C2211yescharacteristic
143#19151462C2211yescharacteristic
144#19151461C2211yescharacteristic
145#19151460C2211yescharacteristic
146#19151460C2211yescharacteristic
147#19151458C2211yescharacteristic
148#19151457C2211yescharacteristic
149#19151457C2211yescharacteristic
150#19151455C2211yescharacteristic
151#19151455C2211yescharacteristic
152#19151449C2211yescharacteristic
153#19151449C2211yescharacteristic
154#19151449C2211yescharacteristic
155#19151449C2211yescharacteristic
156C22⋊C4×Dic89C2211yescharacteristic
157C22⋊C4×Dic89C2211yescharacteristic
158C4×#13083551C2211yescharacteristic
159C4×#13083551C2211yescharacteristic
160C4×#13083551C2211yescharacteristic
161C4×#13083551C2211yescharacteristic
162C4×C22⋊Dic89C2211yescharacteristic
163#19151445C2211yescharacteristic
164#19151445C2211yescharacteristic
165#19151445C2211yescharacteristic
166#19151445C2211yescharacteristic
167#19151444C2211yescharacteristic
168#19151443C2211yescharacteristic
169#19151443C2211yescharacteristic
170C2×#15667919C2211yescharacteristic
171#95×D89C2211yescharacteristic
172#95×D89C2211yescharacteristic
173C2×C4×D4×C89C2211yescharacteristic
174#388×C89C2211yescharacteristic
175#388×C89C2211yescharacteristic
176#387×C89C2211yescharacteristic
177#387×C89C2211yescharacteristic
178#386×C89C2211yescharacteristic
179#386×C89C2211yescharacteristic
180#385×C89C2211yescharacteristic
181#385×C89C2211yescharacteristic
182#383×C89C2211yescharacteristic
183#382×C89C2211yescharacteristic
184#381×C89C2211yescharacteristic
185#380×C89C2211yescharacteristic
186C4×C22⋊C4×C89C2211yescharacteristic
187C2×#95×C89C2211yescharacteristic
188C2×#13083574—42no—
189C2×#13083574—42no—
190C2×#13083574—42no—
191C2×#13083574—42no—
192C2×#13083574C2×C418yescomplemented
193C2×#13083574C2×C418yescomplemented
194C22×Dic178C2311yescharacteristic
195C22×D356C2311yescharacteristic
196C22×D356C2311yescharacteristic
197C22×D356C2311yescharacteristic
198C22×D356C2311yescharacteristic
199C22×D356C2311yescharacteristic
200C22×D356C2311yescharacteristic
201C22×C22⋊D89C2311yescharacteristic
202C22×C22⋊D89C2311yescharacteristic
203C22×C22⋊D89C2311yescharacteristic
204C22×C22⋊D89C2311yescharacteristic
205C22×C22⋊D89C2311yescharacteristic
206C22×C22⋊D89C2311yescharacteristic
207C22×C22⋊D89C2311yescharacteristic
208C22×C22⋊D89C2311yescharacteristic
209C23×Dic89C2311yescharacteristic
210C23×Dic89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215C22×C4×D89C2311yescharacteristic
216C22×C4×D89C2311yescharacteristic
217C22×C4×D89C2311yescharacteristic
218C22×C4×D89C2311yescharacteristic
219C22×C4×D89C2311yescharacteristic
220C22×C4×D89C2311yescharacteristic
221C22×C4×D89C2311yescharacteristic
222C22×C4×D89C2311yescharacteristic
223#15668009C2×C418yescomplemented
224#15668008C2×C418yescomplemented
225#15668008C2×C418yescomplemented
226#15667986C2×C418yescomplemented
227#15667986C2×C418yescomplemented
228#15667985C2×C418yescomplemented
229#15667985C2×C418yescomplemented
230#15667985C2×C418yescomplemented
231#15667985C2×C418yescomplemented
232C4×Dic178C2×C418yescomplemented
233#15667974—42no—
234#15667974—42no—
235#15667974C2×C418yescomplemented
236#15667974C2×C418yescomplemented
237C4×C22⋊D89—42no—
238C4×C22⋊D89—42no—
239C4×C22⋊D89—42no—
240C4×C22⋊D89—42no—
241#15667972—42no—
242#15667972—42no—
243#15667972—42no—
244#15667972—42no—
245#15667970—42no—
246#15667969—42no—
247C2×C4⋊Dic89C2311yescharacteristic
248C2×C4⋊Dic89C2311yescharacteristic
249C2×C4⋊Dic89C2311yescharacteristic
250C2×#13083553C2311yescharacteristic
251C2×#13083553C2311yescharacteristic
252C2×#13083553C2311yescharacteristic
253C2×#13083553C2311yescharacteristic
254C2×#13083553C2311yescharacteristic
255C2×#13083553C2311yescharacteristic
256C2×#13083553C2311yescharacteristic
257C2×#13083553C2311yescharacteristic
258C2×#13083553C2311yescharacteristic
259C2×#13083553C2311yescharacteristic
260C4⋊C4×D89—42no—
261C2×C22⋊Dic89C2311yescharacteristic
262C2×C22⋊Dic89C2311yescharacteristic
263C2×C22⋊Dic89C2311yescharacteristic
264C2×C22⋊Dic89C2311yescharacteristic
265C2×C22⋊Dic89C2311yescharacteristic
266C2×C22⋊Dic89C2311yescharacteristic
267C2×#13083551C2311yescharacteristic
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×#13083551C2311yescharacteristic
285C2×#13083551C2311yescharacteristic
286C2×#13083551C2311yescharacteristic
287C2×#13083551C2311yescharacteristic
288C2×#13083551C2311yescharacteristic
289C2×#13083551C2311yescharacteristic
290C2×#13083551C2311yescharacteristic
291C2×#13083551C2311yescharacteristic
292C2×#13083551C2311yescharacteristic
293C2×#13083551C2311yescharacteristic
294C2×#13083551C2311yescharacteristic
295C2×C4×Dic89C2311yescharacteristic
296C2×C4×Dic89C2311yescharacteristic
297C2×C4×Dic89C2311yescharacteristic
298C2×C4×Dic89C2311yescharacteristic
299C2×C4×Dic89C2311yescharacteristic
300C2×C4×Dic89C2311yescharacteristic
301C2×C4×Dic89C2311yescharacteristic
302C2×C4×Dic89C2311yescharacteristic
303C2×C4×Dic89C2311yescharacteristic
304C2×C4×Dic89C2311yescharacteristic
305C2×C4×Dic89C2311yescharacteristic
306C2×C4×Dic89C2311yescharacteristic
307C2×C4×Dic89C2311yescharacteristic
308C2×C4×Dic89C2311yescharacteristic
309C42×D89—42no—
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
334#15667919C2311yescharacteristic
335#15667919C2311yescharacteristic
336#15667919C2311yescharacteristic
337#15667919C2311yescharacteristic
338#15667919C2311yescharacteristic
339#15667919C2311yescharacteristic
340C22×D4×C89C2311yescharacteristic
341C23×C4×C89C2311yescharacteristic
342C23×C4×C89C2311yescharacteristic
343C23×C4×C89C2311yescharacteristic
344C23×C4×C89C2311yescharacteristic
345C4×D4×C89C2×C418yescomplemented
346C2×C4⋊C4×C89C2311yescharacteristic
347C2×C4⋊C4×C89C2311yescharacteristic
348C2×C4⋊C4×C89C2311yescharacteristic
349C2×C4⋊C4×C89C2311yescharacteristic
350C2×C4⋊C4×C89C2311yescharacteristic
351C2×C22⋊C4×C89C2311yescharacteristic
352C2×C22⋊C4×C89C2311yescharacteristic
353C2×C22⋊C4×C89C2311yescharacteristic
354C2×C22⋊C4×C89C2311yescharacteristic
355C2×C22⋊C4×C89C2311yescharacteristic
356C2×C22⋊C4×C89C2311yescharacteristic
357C2×C22⋊C4×C89C2311yescharacteristic
358C2×C22⋊C4×C89C2311yescharacteristic
359C2×C42×C89C2311yescharacteristic
360C2×C42×C89C2311yescharacteristic
361C2×C42×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
376C23×D89C2411yescharacteristic
377C23×D89C2411yescharacteristic
378C23×D89C2411yescharacteristic
379C23×D89C2411yescharacteristic
380#13083574—416no—
381#13083574—416no—
382C2×Dic178—22no—
383C2×Dic178—22no—
384C2×Dic178C22×C414yes—
385C2×D356—41no—
386C2×D356—41no—
387C2×D356—41no—
388C2×D356—41no—
389C2×D356—41no—
390C2×D356—41no—
391C2×D356—41no—
392C2×D356—41no—
393C2×D356—41no—
394C2×D356—41no—
395C2×D356—41no—
396C2×D356—41no—
397C2×D356C22×C414yes—
398C2×D356C22×C414yes—
399C2×D356C22×C414yes—
400C2×D356C22×C414yes—
401C2×D356C22×C414yes—
402C2×D356C22×C414yes—
403C2×C22⋊D89—22no—
404C2×C22⋊D89—22no—
405C2×C22⋊D89—22no—
406C2×C22⋊D89—22no—
407C2×C22⋊D89—41no—
408C2×C22⋊D89—41no—
409C2×C22⋊D89—41no—
410C2×C22⋊D89—41no—
411C2×C22⋊D89—41no—
412C2×C22⋊D89—41no—
413C2×C22⋊D89—41no—
414C2×C22⋊D89—41no—
415C2×C22⋊D89—41no—
416C2×C22⋊D89—41no—
417C2×C22⋊D89—41no—
418C2×C22⋊D89—41no—
419C2×C22⋊D89C22×C414yes—
420C2×C22⋊D89C22×C414yes—
421C2×C22⋊D89C22×C414yes—
422C2×C22⋊D89C22×C414yes—
423C2×C22⋊D89C22×C414yes—
424C2×C22⋊D89C22×C414yes—
425C2×C22⋊D89C22×C414yes—
426C2×C22⋊D89C22×C414yes—
427C22×Dic89—22no—
428C22×Dic89—41no—
429C22×Dic89—41no—
430C22×Dic89—41no—
431C22×Dic89—41no—
432C22×Dic89—41no—
433C22×Dic89C2411yescharacteristic
434C22×Dic89C2411yescharacteristic
435C22×Dic89C2411yescharacteristic
436C22×Dic89C2411yescharacteristic
437C22×Dic89C2411yescharacteristic
438C22×Dic89C2411yescharacteristic
439C22×Dic89C2411yescharacteristic
440C22×Dic89C2411yescharacteristic
441C22×Dic89C2411yescharacteristic
442C22×Dic89C2411yescharacteristic
443C22×Dic89C2411yescharacteristic
444C22×Dic89C2411yescharacteristic
445C2×C4×D89—22no—
446C2×C4×D89—22no—
447C2×C4×D89—22no—
448C2×C4×D89—22no—
449C2×C4×D89—22no—
450C2×C4×D89—22no—
451C2×C4×D89—41no—
452C2×C4×D89—41no—
453C2×C4×D89—41no—
454C2×C4×D89—41no—
455C2×C4×D89—41no—
456C2×C4×D89—41no—
457C2×C4×D89—41no—
458C2×C4×D89—41no—
459C2×C4×D89—41no—
460C2×C4×D89—41no—
461C2×C4×D89—41no—
462C2×C4×D89—41no—
463C2×C4×D89—41no—
464C2×C4×D89—41no—
465C2×C4×D89—41no—
466C2×C4×D89—41no—
467C2×C4×D89—41no—
468C2×C4×D89—41no—
469C2×C4×D89—41no—
470C2×C4×D89—41no—
471C2×C4×D89—41no—
472C2×C4×D89—41no—
473C2×C4×D89—41no—
474C2×C4×D89—41no—
475C2×C4×D89—41no—
476C2×C4×D89—41no—
477C2×C4×D89C22×C414yes—
478C2×C4×D89C22×C414yes—
479C2×C4×D89C22×C414yes—
480C2×C4×D89C22×C414yes—
481C4⋊Dic89—41no—
482C4⋊Dic89—41no—
483C4⋊Dic89C22×C414yes—
484#13083553—22no—
485#13083553—22no—
486#13083553—22no—
487#13083553—22no—
488#13083553—22no—
489#13083553—41no—
490#13083553—41no—
491#13083553—41no—
492#13083553C22×C414yes—
493#13083553C22×C414yes—
494C22⋊Dic89—22no—
495C22⋊Dic89—41no—
496C22⋊Dic89—41no—
497C22⋊Dic89—41no—
498C22⋊Dic89—41no—
499C22⋊Dic89—41no—
500#13083551—22no—
501#13083551—22no—
502#13083551—41no—
503#13083551—41no—
504#13083551—41no—
505#13083551—41no—
506#13083551—41no—
507#13083551—41no—
508#13083551—41no—
509#13083551—41no—
510#13083551—41no—
511#13083551—41no—
512#13083551—41no—
513#13083551—41no—
514#13083551—41no—
515#13083551—41no—
516#13083551—41no—
517#13083551—41no—
518#13083551—41no—
519#13083551—41no—
520#13083551—41no—
521#13083551—41no—
522#13083551—41no—
523#13083551—41no—
524#13083551C22×C414yes—
525#13083551C22×C414yes—
526#13083551C22×C414yes—
527#13083551C22×C414yes—
528C4×Dic89—22no—
529C4×Dic89—22no—
530C4×Dic89—22no—
531C4×Dic89—22no—
532C4×Dic89—22no—
533C4×Dic89—22no—
534C4×Dic89—41no—
535C4×Dic89—41no—
536C4×Dic89—41no—
537C4×Dic89—41no—
538C4×Dic89—41no—
539C4×Dic89—41no—
540C4×Dic89C22×C414yes—
541C4×Dic89C22×C414yes—
542C24×C89C2411yescharacteristic
543C24×C89C2411yescharacteristic
544C2×D4×C89—41no—
545C2×D4×C89—41no—
546C2×D4×C89C22×C414yes—
547C22×C4×C89—41no—
548C22×C4×C89—41no—
549C22×C4×C89—41no—
550C22×C4×C89—41no—
551C22×C4×C89—41no—
552C22×C4×C89—41no—
553C22×C4×C89—41no—
554C22×C4×C89—41no—
555C22×C4×C89—41no—
556C22×C4×C89—41no—
557C22×C4×C89C22×C414yes—
558C22×C4×C89C22×C414yes—
559C22×C4×C89C2411yescharacteristic
560C22×C4×C89C2411yescharacteristic
561C22×C4×C89C2411yescharacteristic
562C22×C4×C89C2411yescharacteristic
563C22×C4×C89C2411yescharacteristic
564C22×C4×C89C2411yescharacteristic
565C22×C4×C89C2411yescharacteristic
566C22×C4×C89C2411yescharacteristic
567C22×C4×C89C2411yescharacteristic
568C22×C4×C89C2411yescharacteristic
569C22×C4×C89C2411yescharacteristic
570C22×C4×C89C2411yescharacteristic
571C22×C4×C89C2411yescharacteristic
572C4⋊C4×C89—41no—
573C4⋊C4×C89—41no—
574C4⋊C4×C89—41no—
575C4⋊C4×C89—41no—
576C4⋊C4×C89C22×C414yes—
577C22⋊C4×C89—41no—
578C22⋊C4×C89—41no—
579C22⋊C4×C89—41no—
580C22⋊C4×C89—41no—
581C22⋊C4×C89—41no—
582C22⋊C4×C89—41no—
583C22⋊C4×C89C22×C414yes—
584C22⋊C4×C89C22×C414yes—
585C42×C89—41no—
586C42×C89—41no—
587C42×C89C22×C414yes—
588C23×C89—21no—
589C23×C89—21no—
590C23×C89—21no—
591C23×C89—21no—
592C23×C89—21no—
593C23×C89—21no—
594C23×C89—21no—
595C23×C89—21no—
596C23×C89—21no—
597C23×C89—21no—
598C23×C89—21no—
599C23×C89—21no—
600C23×C89C23×C412yes—
601C23×C89C23×C412yes—
602C23×C89C2511yescharacteristic
603C22×D89—21no—
604C22×D89—21no—
605C22×D89—21no—
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×D89—21no—
619C22×D89—21no—
620C22×D89—21no—
621C22×D89—21no—
622C22×D89—21no—
623C22×D89—21no—
624C22×D89—21no—
625C22×D89—21no—
626C22×D89—21no—
627C22×D89C23×C412yes—
628C22×D89C23×C412yes—
629C22×D89C23×C412yes—
630C22×D89C23×C412yes—
631D4×C89—44no—
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—21no—
651C2×C4×C89—21no—
652C2×C4×C89—21no—
653C2×C4×C89—21no—
654C2×C4×C89—21no—
655C2×C4×C89—21no—
656C2×C4×C89—21no—
657C2×C4×C89—21no—
658C2×C4×C89—21no—
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—44no—
667C2×C4×C89—44no—
668C2×C4×C89—82no—
669C2×C4×C89—82no—
670C2×C4×C89C23×C412yes—
671C2×C4×C89C23×C412yes—
672C2×C4×C89C23×C412yes—
673C2×C4×C89C23×C412yes—
674C2×C4×C89C23×C412yes—
675C22⋊D89—28no—
676C22⋊D89—28no—
677C22⋊D89—44no—
678C22⋊D89—44no—
679C22⋊D89—44no—
680C22⋊D89—44no—
681C22⋊D89—44no—
682C22⋊D89—44no—
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×Dic89—21no—
709C2×Dic89—21no—
710C2×Dic89—21no—
711C2×Dic89—21no—
712C2×Dic89—82no—
713C2×Dic89—82no—
714C2×Dic89C23×C412yes—
715C2×Dic89C23×C412yes—
716C2×Dic89C23×C412yes—
717C2×Dic89C23×C412yes—
718C2×Dic89H(5,𝔽2)12yes—
719C2×Dic89H(5,𝔽2)12yes—
720C2×Dic89H(5,𝔽2)12yes—
721D356—44no—
722D356—44no—
723D356—44no—
724D356—44no—
725D356—44no—
726D356—44no—
727C4×D89—28no—
728C4×D89—28no—
729C4×D89—44no—
730C4×D89—44no—
731C4×D89—44no—
732C4×D89—44no—
733C4×D89—82no—
734C4×D89—82no—
735C4×D89—82no—
736C4×D89—82no—
737C4×D89—82no—
738C4×D89—82no—
739Dic178—28no—
740C22×C89—22no—
741C22×C89—22no—
742C22×C89—22no—
743C22×C89—22no—
744C22×C89—22no—
745C22×C89—22no—
746C22×C89—41no—
747C22×C89—41no—
748C22×C89—41no—
749C22×C89—41no—
750C22×C89—41no—
751C22×C89—41no—
752C22×C89—41no—
753C22×C89—41no—
754C22×C89C24×C411yescharacteristic
755C22×C89C2×H(5,𝔽2)11yescharacteristic
756C22×C89C2×H(5,𝔽2)11yescharacteristic
757C22×C89C2×H(5,𝔽2)11yescharacteristic
758C22×C89#58511yescharacteristic
759C22×C89#58511yescharacteristic
760C22×C89#58511yescharacteristic
761C2×D89—22no—
762C2×D89—22no—
763C2×D89—22no—
764C2×D89—22no—
765C2×D89—22no—
766C2×D89—22no—
767C2×D89—22no—
768C2×D89—22no—
769C2×D89—22no—
770C2×D89—22no—
771C2×D89—22no—
772C2×D89—22no—
773C2×D89—41no—
774C2×D89—41no—
775C2×D89—41no—
776C2×D89—41no—
777C2×D89—41no—
778C2×D89—41no—
779C2×D89—41no—
780C2×D89—41no—
781C2×D89—41no—
782C2×D89—41no—
783C2×D89—41no—
784C2×D89—41no—
785C2×D89—41no—
786C2×D89—41no—
787C2×D89—41no—
788C2×D89—41no—
789C4×C89—22no—
790C4×C89—22no—
791C4×C89—22no—
792C4×C89—22no—
793C4×C89—22no—
794C4×C89—41no—
795C4×C89—41no—
796C4×C89—41no—
797C4×C89—41no—
798C4×C89—41no—
799C4×C89—41no—
800C4×C89—41no—
801C4×C89—41no—
802Dic89—22no—
803Dic89—22no—
804Dic89—22no—
805Dic89—22no—
806Dic89—41no—
807Dic89—41no—
808Dic89—41no—
809Dic89—41no—
810Dic89—41no—
811Dic89—41no—
812Dic89—41no—
813Dic89#51814yes—
814#34477—891nomaximal, Sylow
815C2×C89—42no—
816C2×C89—42no—
817C2×C89C2×#51811yescharacteristic
818C2×C89#342811yescharacteristic
819C2×C89C4×H(5,𝔽2)11yescharacteristic
820C2×C89#353911yescharacteristic
821C2×C89#354211yescharacteristic
822C2×C89#354611yescharacteristic
823C2×C89#356211yescharacteristic
824D89—42no—
825D89—42no—
826D89—42no—
827D89—42no—
828C2×#550—891no—
829#2380—891no—
830#2380—891no—
831#2377—891no—
832#2377—891no—
833#2366—891no—
834#2364—891no—
835#2364—891no—
836#2363—891no—
837#2361—891no—
838#2356—891no—
839#2353—891no—
840#2353—891no—
841#2352—891no—
842#2339—891no—
843#2339—891no—
844#2333—891no—
845#2333—891no—
846#2328—891no—
847#2328—891no—
848#2328—891no—
849#2325—891no—
850#2325—891no—
851#2324—891no—
852#2320—891no—
853#2318—891no—
854#2318D8911yescharacteristic, complemented
855#2311—891no—
856C4×#121—891no—
857#2297—891no—
858#2290—891no—
859C89#3447711yescharacteristic, complemented, Sylow
860C22×#41—891no—
861C22×#41—891no—
862#550—8916no—
863C2×#127—891no—
864C2×#127—891no—
865C2×#127—891no—
866C2×#121—891no—
867C2×#121—891no—
868C2×#121—891no—
869C2×#121—891no—
870C2×#121—891no—
871C2×#121—891no—
872C2×C4×Q8—891no—
873C2×C4×D4—891no—
874C2×C4×D4—891no—
875C2×C4×D4—891no—
876C2×C4×D4—891no—
877C2×C4×D4—891no—
878C2×C4×D4—891no—
879C2×C4×D4—891no—
880C2×C4×D4—891no—
881C2×C4×D4—891no—
882C2×C4×D4—891no—
883C2×C4×D4—891no—
884C2×C4×D4—891no—
885C2×C4×D4C2×D8911yescharacteristic
886C2×#117—891no—
887C2×#117—891no—
888C22×C4⋊C4—891no—
889C22×C42—891no—
890#391—891no—
891#391—891no—
892#391—891no—
893#391—891no—
894#390—891no—
895#390—891no—
896#390—891no—
897#390—891no—
898#390—891no—
899#390—891no—
900#390—891no—
901#390—891no—
902#390—891no—
903#390—891no—
904#389—891no—
905#389—891no—
906#388—891no—
907#388—891no—
908#388—891no—
909#388—891no—
910#388—891no—
911#388—891no—
912#388—891no—
913#388—891no—
914#388—891no—
915#388—891no—
916#388C2×D8911yescharacteristic
917#388C2×D8911yescharacteristic
918#387—891no—
919#387—891no—
920#387—891no—
921#387—891no—
922#387—891no—
923#387—891no—
924#387—891no—
925#387—891no—
926#387—891no—
927#387—891no—
928#387C2×D8911yescharacteristic
929#387C2×D8911yescharacteristic
930#386—891no—
931#386—891no—
932#386—891no—
933#386—891no—
934#386—891no—
935#386—891no—
936#386—891no—
937#386—891no—
938#386—891no—
939#386—891no—
940#386—891no—
941#386—891no—
942#386—891no—
943#386—891no—
944#386—891no—
945#386—891no—
946#386—891no—
947#386—891no—
948#386—891no—
949#386—891no—
950#386—891no—
951#386—891no—
952#386—891no—
953#386—891no—
954#386—891no—
955#386—891no—
956#386—891no—
957#386—891no—
958#386—891no—
959#386—891no—
960#386—891no—
961#386—891no—
962#386—891no—
963#386—891no—
964#386—891no—
965#386—891no—
966#386—891no—
967#386—891no—
968#386C2×D8911yescharacteristic
969#386C2×D8911yescharacteristic
970#385—891no—
971#385—891no—
972#385—891no—
973#385—891no—
974#385C2×D8911yescharacteristic
975#385C2×D8911yescharacteristic
976#383—891no—
977#383—891no—
978#383—891no—
979#383C2×D8911yescharacteristic
980#382—891no—
981#382—891no—
982#382C2×D8911yescharacteristic
983#381—891no—
984#381—891no—
985#381—891no—
986#381C2×D8911yescharacteristic
987#380—891no—
988#380—891no—
989#380—891no—
990#380—891no—
991#380—891no—
992#380C2×D8911yescharacteristic
993C4×C4⋊C4—891no—
994C4×C4⋊C4—891no—
995C4×C4⋊C4—891no—
996C4×C4⋊C4—891no—
997C4×C22⋊C4—891no—
998C4×C22⋊C4—891no—
999C4×C22⋊C4—891no—
1000C4×C22⋊C4—891no—
1001C4×C22⋊C4—891no—
1002C4×C22⋊C4—891no—
1003C4×C22⋊C4—891no—
1004C4×C22⋊C4—891no—
1005C4×C22⋊C4—891no—
1006C4×C22⋊C4—891no—
1007C4×C22⋊C4—891no—
1008C4×C22⋊C4C2×D8911yescharacteristic
1009#376—891no—
1010#376—891no—
1011#376—891no—
1012C2×#95—891no—
1013C2×#95—891no—
1014C2×#95—891no—
1015C2×#95C2×D8911yescharacteristic
1016C2×#41—898no—
1017C2×#41—898no—
1018C2×#41—3562no—
1019C2×#41—3562no—
1020C2×#41—3562no—
1021C2×#41—3562no—
1022C22×Q8—891no—
1023C22×D4—891no—
1024C22×D4—891no—
1025C22×D4—891no—
1026C22×D4—891no—
1027C22×D4—891no—
1028C22×D4—891no—
1029C22×D4—891no—
1030C22×D4—891no—
1031C22×D4—891no—
1032C22×D4—891no—
1033C22×D4—891no—
1034C22×D4—891no—
1035C22×D4—891no—
1036C22×D4—891no—
1037C22×D4C22×D8911yescharacteristic
1038C23×C4—891no—
1039C23×C4—891no—
1040C23×C4—891no—
1041C23×C4—891no—
1042C23×C4—891no—
1043C23×C4—891no—
1044C23×C4—891no—
1045C23×C4—891no—
1046C23×C4—891no—
1047C23×C4—891no—
1048C23×C4—891no—
1049C23×C4—891no—
1050C23×C4—891no—
1051C23×C4—891no—
1052C23×C4C22×D8911yescharacteristic
1053C23×C4C22×D8911yescharacteristic
1054C23×C4C22×D8911yescharacteristic
1055C23×C4C22×D8911yescharacteristic
1056#127—898no—
1057#127—898no—
1058#127—898no—
1059#121—898no—
1060#121—898no—
1061#121—898no—
1062#121—898no—
1063#121—898no—
1064#121—898no—
1065C4×Q8—898no—
1066C4×D4—898no—
1067C4×D4—898no—
1068C4×D4—3562no—
1069C4×D4—3562no—
1070C4×D4—3562no—
1071C4×D4—3562no—
1072C4×D4—3562no—
1073C4×D4—3562no—
1074C4×D4—3562no—
1075C4×D4—3562no—
1076C4×D4—3562no—
1077C4×D4—3562no—
1078C4×D4C4×D8918yescomplemented
1079#117—3562no—
1080#117—3562no—
1081C2×C4⋊C4—891no—
1082C2×C4⋊C4—891no—
1083C2×C4⋊C4—891no—
1084C2×C4⋊C4—891no—
1085C2×C4⋊C4—891no—
1086C2×C4⋊C4—891no—
1087C2×C4⋊C4—891no—
1088C2×C4⋊C4—891no—
1089C2×C4⋊C4—891no—
1090C2×C4⋊C4—891no—
1091C2×C4⋊C4—891no—
1092C2×C4⋊C4—891no—
1093C2×C4⋊C4—891no—
1094C2×C4⋊C4—3562no—
1095C2×C4⋊C4C22×D8911yescharacteristic
1096C2×C4⋊C4C22×D8911yescharacteristic
1097C2×C4⋊C4C22×D8911yescharacteristic
1098C2×C4⋊C4C22×D8911yescharacteristic
1099C2×C4⋊C4C22×D8911yescharacteristic
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⋊C4—891no—
1114C2×C22⋊C4—891no—
1115C2×C22⋊C4—891no—
1116C2×C22⋊C4—891no—
1117C2×C22⋊C4—891no—
1118C2×C22⋊C4—891no—
1119C2×C22⋊C4—891no—
1120C2×C22⋊C4—891no—
1121C2×C22⋊C4—891no—
1122C2×C22⋊C4—891no—
1123C2×C22⋊C4—891no—
1124C2×C22⋊C4—891no—
1125C2×C22⋊C4—891no—
1126C2×C22⋊C4—891no—
1127C2×C22⋊C4—891no—
1128C2×C22⋊C4—891no—
1129C2×C22⋊C4—891no—
1130C2×C22⋊C4—891no—
1131C2×C22⋊C4—891no—
1132C2×C22⋊C4—891no—
1133C2×C22⋊C4—891no—
1134C2×C22⋊C4C22×D8911yescharacteristic
1135C2×C22⋊C4C22×D8911yescharacteristic
1136C2×C22⋊C4C22×D8911yescharacteristic
1137C2×C22⋊C4C22×D8911yescharacteristic
1138C2×C22⋊C4C22×D8911yescharacteristic
1139C2×C22⋊C4C22×D8911yescharacteristic
1140C2×C22⋊C4C22×D8911yescharacteristic
1141C2×C22⋊C4C22×D8911yescharacteristic
1142C2×C42—891no—
1143C2×C42—891no—
1144C2×C42—891no—
1145C2×C42—891no—
1146C2×C42—891no—
1147C2×C42—891no—
1148C2×C42—891no—
1149C2×C42—891no—
1150C2×C42—891no—
1151C2×C42—891no—
1152C2×C42—891no—
1153C2×C42—891no—
1154C2×C42—891no—
1155C2×C42—891no—
1156C2×C42—3562no—
1157C2×C42C22×D8911yescharacteristic
1158C2×C42C22×D8911yescharacteristic
1159C2×C42C22×D8911yescharacteristic
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#95—891no—
1173#95—891no—
1174#95—891no—
1175#95—891no—
1176#95—891no—
1177#95—891no—
1178#95—891no—
1179#95—891no—
1180#95—891no—
1181#95—891no—
1182#95—891no—
1183#95—891no—
1184#95—891no—
1185#95—891no—
1186#95—891no—
1187#95—891no—
1188#95—891no—
1189#95—891no—
1190#95C22×D8911yescharacteristic
1191#95C22×D8911yescharacteristic
1192#95C22×D8911yescharacteristic
1193#95C22×D8911yescharacteristic
1194#95C22×D8911yescharacteristic
1195#95C22×D8911yescharacteristic
1196#95C22×D8911yescharacteristic
1197#95C22×D8911yescharacteristic
1198#95C22×D8911yescharacteristic
1199#95C22×D8911yescharacteristic
1200#95C22×D8911yescharacteristic
1201#95C22×D8911yescharacteristic
1202#95C22×D8911yescharacteristic
1203#95C22×D8911yescharacteristic
1204C24—891no—
1205C24—891no—
1206C24—891no—
1207C24—891no—
1208C24C23×D8911yescharacteristic
1209C24C23×D8911yescharacteristic
1210#41—35616no—
1211#41—35616no—
1212C2×Q8—894no—
1213C2×Q8—1782no—
1214C2×Q8—1782no—
1215C2×D4—41no—
1216C2×D4—41no—
1217C2×D4—894no—
1218C2×D4—894no—
1219C2×D4—894no—
1220C2×D4—894no—
1221C2×D4—894no—
1222C2×D4—894no—
1223C2×D4—894no—
1224C2×D4—894no—
1225C2×D4—894no—
1226C2×D4—894no—
1227C2×D4—894no—
1228C2×D4—894no—
1229C2×D4—894no—
1230C2×D4—894no—
1231C2×D4—3561no—
1232C2×D4—3561no—
1233C2×D4—3561no—
1234C2×D4—3561no—
1235C2×D4—3561no—
1236C2×D4—3561no—
1237C2×D4—3561no—
1238C2×D4—3561no—
1239C2×D4—3561no—
1240C2×D4—3561no—
1241C2×D4—3561no—
1242C2×D4—3561no—
1243C2×D4—3561no—
1244C2×D4—3561no—
1245C2×D4—3561no—
1246C2×D4—3561no—
1247C2×D4—3561no—
1248C2×D4—3561no—
1249C2×D4—3561no—
1250C2×D4—3561no—
1251C2×D4—3561no—
1252C2×D4—3561no—
1253C2×D4—3561no—
1254C2×D4—3561no—
1255C2×D4—1782no—
1256C2×D4—1782no—
1257C2×D4—1782no—
1258C2×D4—1782no—
1259C2×D4C2×C4×D8914yes—
1260C22×C4—41no—
1261C22×C4—41no—
1262C22×C4—41no—
1263C22×C4—41no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—891no—
1271C22×C4—891no—
1272C22×C4—891no—
1273C22×C4—891no—
1274C22×C4—891no—
1275C22×C4—894no—
1276C22×C4—894no—
1277C22×C4—894no—
1278C22×C4—894no—
1279C22×C4—891no—
1280C22×C4—891no—
1281C22×C4—891no—
1282C22×C4—891no—
1283C22×C4—891no—
1284C22×C4—891no—
1285C22×C4—891no—
1286C22×C4—3561no—
1287C22×C4—3561no—
1288C22×C4—3561no—
1289C22×C4—3561no—
1290C22×C4—3561no—
1291C22×C4—3561no—
1292C22×C4—3561no—
1293C22×C4—3561no—
1294C22×C4—3561no—
1295C22×C4—3561no—
1296C22×C4—3561no—
1297C22×C4—3561no—
1298C22×C4—3561no—
1299C22×C4—3561no—
1300C22×C4—3561no—
1301C22×C4—3561no—
1302C22×C4—3561no—
1303C22×C4—3561no—
1304C22×C4—3561no—
1305C22×C4—3561no—
1306C22×C4—3561no—
1307C22×C4—3561no—
1308C22×C4—3561no—
1309C22×C4—3561no—
1310C22×C4—3561no—
1311C22×C4—3561no—
1312C22×C4—3561no—
1313C22×C4—3561no—
1314C22×C4—3561no—
1315C22×C4—3561no—
1316C22×C4—3561no—
1317C22×C4—1782no—
1318C22×C4—1782no—
1319C22×C4—1782no—
1320C22×C4—1782no—
1321C22×C4—1782no—
1322C22×C4—1782no—
1323C22×C4—1782no—
1324C22×C4C2×C4×D8914yes—
1325C22×C4C2×C4×D8914yes—
1326C22×C4C23×D8911yescharacteristic
1327C22×C4C23×D8911yescharacteristic
1328C22×C4C23×D8911yescharacteristic
1329C22×C4C23×D8911yescharacteristic
1330C22×C4C23×D8911yescharacteristic
1331C22×C4C23×D8911yescharacteristic
1332C22×C4C23×D8911yescharacteristic
1333C22×C4C23×D8911yescharacteristic
1334C22×C4C23×D8911yescharacteristic
1335C22×C4C23×D8911yescharacteristic
1336C22×C4C23×D8911yescharacteristic
1337C22×C4C23×D8911yescharacteristic
1338C22×C4C23×D8911yescharacteristic
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—41no—
1342C4⋊C4—41no—
1343C4⋊C4—894no—
1344C4⋊C4—894no—
1345C4⋊C4—894no—
1346C4⋊C4—3561no—
1347C4⋊C4—3561no—
1348C4⋊C4—3561no—
1349C4⋊C4—3561no—
1350C4⋊C4—3561no—
1351C4⋊C4—1782no—
1352C4⋊C4—1782no—
1353C4⋊C4—1782no—
1354C4⋊C4—1782no—
1355C4⋊C4—1782no—
1356C4⋊C4C2×C4×D8914yes—
1357C22⋊C4—41no—
1358C22⋊C4—41no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—894no—
1364C22⋊C4—894no—
1365C22⋊C4—894no—
1366C22⋊C4—894no—
1367C22⋊C4—3561no—
1368C22⋊C4—3561no—
1369C22⋊C4—3561no—
1370C22⋊C4—3561no—
1371C22⋊C4—3561no—
1372C22⋊C4—3561no—
1373C22⋊C4—3561no—
1374C22⋊C4—3561no—
1375C22⋊C4—3561no—
1376C22⋊C4—3561no—
1377C22⋊C4—3561no—
1378C22⋊C4—3561no—
1379C22⋊C4—3561no—
1380C22⋊C4—3561no—
1381C22⋊C4—3561no—
1382C22⋊C4—3561no—
1383C22⋊C4—3561no—
1384C22⋊C4—3561no—
1385C22⋊C4—3561no—
1386C22⋊C4—3561no—
1387C22⋊C4—3561no—
1388C22⋊C4—3561no—
1389C22⋊C4—3561no—
1390C22⋊C4—3561no—
1391C22⋊C4—3561no—
1392C22⋊C4—3561no—
1393C22⋊C4—3561no—
1394C22⋊C4—1782no—
1395C22⋊C4—1782no—
1396C22⋊C4—1782no—
1397C22⋊C4C2×C4×D8914yes—
1398C22⋊C4C2×C4×D8914yes—
1399C42—41no—
1400C42—41no—
1401C42—894no—
1402C42—894no—
1403C42—3561no—
1404C42—3561no—
1405C42—3561no—
1406C42—3561no—
1407C42—3561no—
1408C42—3561no—
1409C42—1782no—
1410C42—1782no—
1411C42—1782no—
1412C42—1782no—
1413C42—1782no—
1414C42—1782no—
1415C42C2×C4×D8914yes—
1416C23—21no—
1417C23—21no—
1418C23—21no—
1419C23—21no—
1420C23—21no—
1421C23—21no—
1422C23—21no—
1423C23—21no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—892no—
1429C23—892no—
1430C23—892no—
1431C23—892no—
1432C23—1781no—
1433C23—1781no—
1434C23—1781no—
1435C23—1781no—
1436C23—1781no—
1437C23—1781no—
1438C23—1781no—
1439C23—1781no—
1440C23—1781no—
1441C23—1781no—
1442C23—1781no—
1443C23—1781no—
1444C23—1781no—
1445C23—1781no—
1446C23—1781no—
1447C23—1781no—
1448C23—1781no—
1449C23—1781no—
1450C23—1781no—
1451C23—1781no—
1452C23—1781no—
1453C23—1781no—
1454C23—1781no—
1455C23—1781no—
1456C23C22×C4×D8912yes—
1457C23C22×C4×D8912yes—
1458C23C24×D8911yescharacteristic
1459Q8—1788no—
1460D4—44no—
1461D4—3564no—
1462D4—3564no—
1463D4—3564no—
1464D4—3564no—
1465D4—3564no—
1466D4—3564no—
1467D4—3564no—
1468D4—3564no—
1469D4—3564no—
1470D4—3564no—
1471D4—3564no—
1472D4—3564no—
1473D4—1788no—
1474D4—1788no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
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—44no—
1510C2×C4—44no—
1511C2×C4—82no—
1512C2×C4—82no—
1513C2×C4—892no—
1514C2×C4—892no—
1515C2×C4—892no—
1516C2×C4—892no—
1517C2×C4—892no—
1518C2×C4—892no—
1519C2×C4—892no—
1520C2×C4—3564no—
1521C2×C4—3564no—
1522C2×C4—3564no—
1523C2×C4—3564no—
1524C2×C4—1788no—
1525C2×C4—1788no—
1526C2×C4—1781no—
1527C2×C4—1781no—
1528C2×C4—1781no—
1529C2×C4—1781no—
1530C2×C4—1781no—
1531C2×C4—1781no—
1532C2×C4—1781no—
1533C2×C4—1781no—
1534C2×C4—1781no—
1535C2×C4—1781no—
1536C2×C4—1781no—
1537C2×C4—1781no—
1538C2×C4—1781no—
1539C2×C4—1781no—
1540C2×C4—1781no—
1541C2×C4—1781no—
1542C2×C4—1781no—
1543C2×C4—1781no—
1544C2×C4—1781no—
1545C2×C4—1781no—
1546C2×C4—1781no—
1547C2×C4—1781no—
1548C2×C4—1781no—
1549C2×C4—1781no—
1550C2×C4—1781no—
1551C2×C4—1781no—
1552C2×C4—1781no—
1553C2×C4—1781no—
1554C2×C4—1781no—
1555C2×C4—7122no—
1556C2×C4—7122no—
1557C2×C4—7122no—
1558C2×C4—7122no—
1559C2×C4—7122no—
1560C2×C4—7122no—
1561C2×C4—7122no—
1562C2×C4—7122no—
1563C2×C4C22×C4×D8912yes—
1564C2×C4C22×C4×D8912yes—
1565C2×C4C22×C4×D8912yes—
1566C2×C4C22×C4×D8912yes—
1567C2×C4C22×C4×D8912yes—
1568C22—22no—
1569C22—22no—
1570C22—22no—
1571C22—22no—
1572C22—22no—
1573C22—22no—
1574C22—41no—
1575C22—41no—
1576C22—41no—
1577C22—41no—
1578C22—41no—
1579C22—41no—
1580C22—41no—
1581C22—41no—
1582C22—3561no—
1583C22—3561no—
1584C22—3561no—
1585C22—3561no—
1586C22—3561no—
1587C22—3561no—
1588C22—3561no—
1589C22—3561no—
1590C22—3561no—
1591C22—3561no—
1592C22—3561no—
1593C22—3561no—
1594C22—3561no—
1595C22—3561no—
1596C22—3561no—
1597C22—3561no—
1598C22—1782no—
1599C22—1782no—
1600C22—1782no—
1601C22—1782no—
1602C22—1782no—
1603C22—1782no—
1604C22—1782no—
1605C22—1782no—
1606C22—1782no—
1607C22—1782no—
1608C22—1782no—
1609C22—1782no—
1610C22C23×C4×D8911yescharacteristic
1611C22H(5,𝔽2)×D8911yescharacteristic
1612C22H(5,𝔽2)×D8911yescharacteristic
1613C22H(5,𝔽2)×D8911yescharacteristic
1614C22#1915243411yescharacteristic
1615C22#1915243411yescharacteristic
1616C22#1915243511yescharacteristic
1617C4—22no—
1618C4—22no—
1619C4—22no—
1620C4—22no—
1621C4—22no—
1622C4—41no—
1623C4—41no—
1624C4—41no—
1625C4—41no—
1626C4—41no—
1627C4—41no—
1628C4—41no—
1629C4—41no—
1630C4—894no—
1631C4—3561no—
1632C4—3561no—
1633C4—3561no—
1634C4—3561no—
1635C4—3561no—
1636C4—3561no—
1637C4—3561no—
1638C4—1782no—
1639C4—1782no—
1640C4—1782no—
1641C4—1782no—
1642C2—42no—
1643C2—42no—
1644C2—3562no—
1645C2—3562no—
1646C2—3562no—
1647C2—3562no—
1648C2#518×D8911yescharacteristic
1649C2#2603345311yescharacteristic
1650C2#2603345811yescharacteristic
1651C2#2603451011yescharacteristic
1652C2#2603456711yescharacteristic
1653C2#2603461711yescharacteristic
1654C2#2603483511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutatorC22×C89C24×C4
FittingC89×#2318C2
socle, cosocleC23×C89C25
prime radicalC2×#19152269C2
hypercenter#2318D89
hypocenterC89#34477
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2318

Complements

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

NH ≅ G/Ntype
2. #26023428C2semidirect
3. #26023427C2semidirect
4. #26023411C2semidirect
5. #26023408C2semidirect
6. #26023315C2semidirect
7. #26023299C2semidirect
8. #26023296C2semidirect
9. #26023285C2semidirect
10. #26023271C2semidirect
11. #26023212C2semidirect
12. #26023192C2semidirect
13. #26023191C2semidirect
14. #26023176C2semidirect
15. #26023079C2semidirect
16. #26023076C2semidirect
17. #26023017C2semidirect
18. #26023015C2semidirect
19. #26022975C2semidirect
20. #26022973C2semidirect
21. #26022973C2semidirect
22. #26022952C2semidirect
23. #26022949C2semidirect
24. #26022944C2semidirect
25. #26022900C2semidirect
26. #26022884C2semidirect
27. #26022841C2semidirect
28. #26022764C2semidirect
29. #26022738C2semidirect
30. #26022690C2semidirect
31. C89×#2318C2semidirect
34. #19152269C4semidirect
192. C2×#13083574C2×C4semidirect
193. C2×#13083574C2×C4semidirect
223. #15668009C2×C4semidirect
224. #15668008C2×C4semidirect
225. #15668008C2×C4semidirect
226. #15667986C2×C4semidirect
227. #15667986C2×C4semidirect
228. #15667985C2×C4semidirect
229. #15667985C2×C4semidirect
230. #15667985C2×C4semidirect
231. #15667985C2×C4semidirect
232. C4×Dic178C2×C4semidirect
235. #15667974C2×C4semidirect
236. #15667974C2×C4semidirect
345. C4×D4×C89C2×C4semidirect
854. #2318D89semidirect
859. C89#34477semidirect
1078. C4×D4C4×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191522692
#260234282
#260234272
#260234112
#260234082
#260233152
#260232992
#260232962
#260232852
#260232712
#260232122
#260231922
#260231912
#260231762
#260230792
#260230762
#260230172
#260230152
#260229752
#260229732
#260229522
#260229492
#260229442
#260229002
#260228842
#260228412
#260227642
#260227382
#260226902
C89×#23182
#3447789