Finite Group Databasebeta

← #36719776

Subgroups — #36719776

Order 22784.

2636 conjugacy classes of subgroups.

The subgroup lattice has 1672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152237C211yesmaximal, characteristic
2#26023414C211yesmaximal, characteristic, complemented
3#26023403C211yesmaximal, characteristic, complemented
4#26023397C211yesmaximal, characteristic, complemented
5#26023389C211yesmaximal, characteristic, complemented
6#26023360C211yesmaximal, characteristic, complemented
7#26023304C211yesmaximal, characteristic, complemented
8#26023291C211yesmaximal, characteristic, complemented
9#26023238C211yesmaximal, characteristic, complemented
10#26023229C211yesmaximal, characteristic, complemented
11#26023194C211yesmaximal, characteristic, complemented
12#26023186C211yesmaximal, characteristic, complemented
13#26023098C211yesmaximal, characteristic, complemented
14#26023095C211yesmaximal, characteristic, complemented
15#26023077C211yesmaximal, characteristic, complemented
16D4×#13083551C211yesmaximal, characteristic, complemented
17#26023063C211yesmaximal, characteristic, complemented
18#26023036C211yesmaximal, characteristic, complemented
19#26023015C211yesmaximal, characteristic, complemented
20#26023003C211yesmaximal, characteristic, complemented
21#26022950C211yesmaximal, characteristic, complemented
22#26022926C211yesmaximal, characteristic, complemented
23#26022915C211yesmaximal, characteristic, complemented
24#26022906C211yesmaximal, characteristic, complemented
25#26022893C211yesmaximal, characteristic, complemented
26#26022846C211yesmaximal, characteristic, complemented
27#26022839C211yesmaximal, characteristic, complemented
28#26022826C211yesmaximal, characteristic, complemented
29#26022695C211yesmaximal, characteristic, complemented
30C2×#19151489C211yesmaximal, characteristic, complemented
31C4×#121×C89C211yesmaximal, characteristic, complemented
32C22×#13083573C2211yescharacteristic
33C22×D4×D89C2211yescharacteristic
34#19152237C4116yescomplemented
35C2×#15667998C2211yescharacteristic
36C2×#15667997C2211yescharacteristic
37C2×#15667993C2211yescharacteristic
38C2×#15667990C2211yescharacteristic
39C2×#15667985C2211yescharacteristic
40C2×#15667984C2211yescharacteristic
41C2×#15667980C2211yescharacteristic
42C2×#15667980C2211yescharacteristic
43C2×D4×Dic89C2211yescharacteristic
44C2×D4×Dic89C2211yescharacteristic, complemented
45C2×C4×C22⋊D89C2211yescharacteristic
46C2×C4×C22⋊D89C2211yescharacteristic, complemented
47C2×#15667972C2211yescharacteristic
48C2×#15667969C2211yescharacteristic, complemented
49C2×#15667968C2211yescharacteristic, complemented
50C22×#13083553C2211yescharacteristic, complemented
51C22×#13083551C2211yescharacteristic
52C22×#13083551C2211yescharacteristic
53C22×#13083551C2211yescharacteristic
54C22×#13083551C2211yescharacteristic
55C2×C22⋊C4×D89C2211yescharacteristic
56C2×C22⋊C4×D89C2211yescharacteristic
57#19151504C2211yescharacteristic, complemented
58#19151503C2211yescharacteristic, complemented
59#19151502C2211yescharacteristic, complemented
60#19151502C2211yescharacteristic, complemented
61#19151500C2211yescharacteristic
62#19151499C2211yescharacteristic
63#19151498C2211yescharacteristic
64#19151498C2211yescharacteristic
65#19151498C2211yescharacteristic, complemented
66#19151498C2211yescharacteristic, complemented
67#19151498C2211yescharacteristic, complemented
68#19151495C2211yescharacteristic, complemented
69#19151495C2211yescharacteristic, complemented
70#19151493C2211yescharacteristic, complemented
71#19151492C2211yescharacteristic, complemented
72#19151491C2211yescharacteristic, complemented
73#19151491C2211yescharacteristic, complemented
74#19151490C2211yescharacteristic
75#19151490C2211yescharacteristic, complemented
76#19151489C2211yescharacteristic
77#19151489C2211yescharacteristic
78#19151489C2211yescharacteristic
79#19151489C2211yescharacteristic
80#19151489C2211yescharacteristic
81#19151489C2211yescharacteristic, complemented
82#19151489C2211yescharacteristic, complemented
83#19151489C2211yescharacteristic, complemented
84#19151489C2211yescharacteristic, complemented
85#19151489C2211yescharacteristic, complemented
86#19151489C2211yescharacteristic, complemented
87#19151488C2211yescharacteristic
88#19151488C2211yescharacteristic
89#19151488C2211yescharacteristic
90#19151488C2211yescharacteristic, complemented
91#19151488C2211yescharacteristic, complemented
92#19151487C2211yescharacteristic
93#19151487C2211yescharacteristic
94#19151487C2211yescharacteristic
95#19151487C2211yescharacteristic, complemented
96#19151486C2211yescharacteristic, complemented
97#19151486C2211yescharacteristic, complemented
98#19151486C2211yescharacteristic, complemented
99#19151484C2211yescharacteristic, complemented
100#19151484C2211yescharacteristic, complemented
101#19151482C2211yescharacteristic, complemented
102#19151482C2211yescharacteristic, complemented
103#19151482C2211yescharacteristic, complemented
104#19151480C2211yescharacteristic, complemented
105#19151480C2211yescharacteristic, complemented
106#19151479C2211yescharacteristic, complemented
107#19151479C2211yescharacteristic, complemented
108#19151479C2211yescharacteristic, complemented
109#19151478C2211yescharacteristic
110#19151478C2211yescharacteristic, complemented
111#19151478C2211yescharacteristic, complemented
112#19151478C2211yescharacteristic, complemented
113#19151477C2211yescharacteristic
114#19151477C2211yescharacteristic
115#19151477C2211yescharacteristic
116#19151477C2211yescharacteristic
117#19151477C2211yescharacteristic, complemented
118#19151476C2211yescharacteristic
119#19151476C2211yescharacteristic
120#19151475C2211yescharacteristic
121#19151475C2211yescharacteristic
122#19151475C2211yescharacteristic
123#19151475C2211yescharacteristic
124#19151475C2211yescharacteristic, complemented
125#19151475C2211yescharacteristic, complemented
126#19151474C2211yescharacteristic
127#19151474C2211yescharacteristic
128#19151474C2211yescharacteristic, complemented
129#19151471C2211yescharacteristic, complemented
130#19151471C2211yescharacteristic, complemented
131#19151471C2211yescharacteristic, complemented
132#19151470C2211yescharacteristic, complemented
133#19151470C2211yescharacteristic, complemented
134#19151469C2211yescharacteristic, complemented
135#19151469C2211yescharacteristic, complemented
136#19151469C2211yescharacteristic, complemented
137#19151465C2211yescharacteristic, complemented
138#19151460C2211yescharacteristic
139#19151460C2211yescharacteristic
140#19151460C2211yescharacteristic, complemented
141#19151459C2211yescharacteristic, complemented
142#19151459C2211yescharacteristic, complemented
143#19151457C2211yescharacteristic, complemented
144#19151457C2211yescharacteristic, complemented
145#19151456C2211yescharacteristic, complemented
146#19151456C2211yescharacteristic, complemented
147#19151455C2211yescharacteristic
148#19151455C2211yescharacteristic, complemented
149#19151453C2211yescharacteristic
150#19151453C2211yescharacteristic
151#19151453C2211yescharacteristic
152#19151453C2211yescharacteristic
153C4×#13083553C2211yescharacteristic, complemented
154C4×#13083553C2211yescharacteristic, complemented
155C22⋊C4×Dic89C2211yescharacteristic, complemented
156C22⋊C4×Dic89C2211yescharacteristic, complemented
157C22⋊C4×Dic89C2211yescharacteristic, complemented
158C22⋊C4×Dic89C2211yescharacteristic, complemented
159C4×#13083551C2211yescharacteristic
160C4×#13083551C2211yescharacteristic, complemented
161C4×#13083551C2211yescharacteristic, complemented
162C4×#13083551C2211yescharacteristic, complemented
163C4×C22⋊Dic89C2211yescharacteristic, complemented
164C4×C22⋊Dic89C2211yescharacteristic, complemented
165#19151445C2211yescharacteristic, complemented
166#19151445C2211yescharacteristic, complemented
167#19151445C2211yescharacteristic, complemented
168#19151444C2211yescharacteristic, complemented
169#19151443C2211yescharacteristic, complemented
170C2×#15667919C2211yescharacteristic, complemented
171C2×#15667919C2211yescharacteristic, complemented
172C2×#15667919C2211yescharacteristic, complemented
173C2×#121×C89C2211yescharacteristic
174C2×C4×D4×C89C2211yescharacteristic
175C2×C4×D4×C89C2211yescharacteristic, complemented
176C2×C4×D4×C89C2211yescharacteristic, complemented
177C22×C42×C89C2211yescharacteristic, complemented
178#390×C89C2211yescharacteristic, complemented
179#389×C89C2211yescharacteristic, complemented
180#388×C89C2211yescharacteristic, complemented
181#388×C89C2211yescharacteristic, complemented
182#386×C89C2211yescharacteristic
183#386×C89C2211yescharacteristic, complemented
184#380×C89C2211yescharacteristic, complemented
185C4×C4⋊C4×C89C2211yescharacteristic, complemented
186C4×C22⋊C4×C89C2211yescharacteristic, complemented
187C4×C22⋊C4×C89C2211yescharacteristic, complemented
188C24×D89C2311yescharacteristic
189C24×D89C2311yescharacteristic
190C2×#13083573—42no—
191C2×#13083573—42no—
192C2×#13083573C2×C418yescomplemented
193C22×Dic178C2311yescharacteristic
194C22×D356C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C2×D4×D89—42no—
201C2×D4×D89—42no—
202C2×D4×D89C2×C418yescomplemented
203C23×Dic89C2311yescharacteristic
204C23×Dic89C2311yescharacteristic
205C23×Dic89C2311yescharacteristic
206C23×Dic89C2311yescharacteristic
207C23×Dic89C2311yescharacteristic
208C23×Dic89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214#15667998C2×C418yescomplemented
215#15667997C2×C418yescomplemented
216#15667993C2×C418yescomplemented
217#15667990C2×C418yescomplemented
218#15667985C2×C418yescomplemented
219#15667984C2×C418yescomplemented
220#15667980C2×C418yescomplemented
221#15667980C2×C418yescomplemented
222D4×Dic89—42no—
223D4×Dic89—42no—
224C4×C22⋊D89—42no—
225C4×C22⋊D89C2×C418yescomplemented
226#15667972C2×C418yescomplemented
227#15667969—42no—
228#15667968—42no—
229C2×C4⋊Dic89C2311yescharacteristic
230C2×C4⋊Dic89C2311yescharacteristic
231C2×#13083553—42no—
232C2×#13083553C2311yescharacteristic
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×C22⋊Dic89C2311yescharacteristic
246C2×C22⋊Dic89C2311yescharacteristic
247C2×C22⋊Dic89C2311yescharacteristic
248C2×C22⋊Dic89C2311yescharacteristic
249C2×C22⋊Dic89C2311yescharacteristic
250C2×C22⋊Dic89C2311yescharacteristic
251C2×C22⋊Dic89C2311yescharacteristic
252C2×C22⋊Dic89C2311yescharacteristic
253C2×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×C22⋊Dic89C2311yescharacteristic
256C2×#13083551—42no—
257C2×#13083551—42no—
258C2×#13083551—42no—
259C2×#13083551C2×C418yescomplemented
260C2×#13083551C2311yescharacteristic
261C2×#13083551C2311yescharacteristic
262C2×#13083551C2311yescharacteristic
263C2×#13083551C2311yescharacteristic
264C2×#13083551C2311yescharacteristic
265C2×#13083551C2311yescharacteristic
266C2×#13083551C2311yescharacteristic
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
289C22⋊C4×D89—42no—
290C22⋊C4×D89C2×C418yescomplemented
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
334#15667919C2311yescharacteristic
335#15667919C2311yescharacteristic
336C22×D4×C89C2311yescharacteristic
337C22×D4×C89C2311yescharacteristic
338C22×D4×C89C2311yescharacteristic
339C23×C4×C89C2311yescharacteristic
340C23×C4×C89C2311yescharacteristic
341C23×C4×C89C2311yescharacteristic
342C23×C4×C89C2311yescharacteristic
343C23×C4×C89C2311yescharacteristic
344#121×C89C2×C418yescomplemented
345C4×D4×C89—42no—
346C4×D4×C89—42no—
347C4×D4×C89—42no—
348C2×C4⋊C4×C89C2311yescharacteristic
349C2×C4⋊C4×C89C2311yescharacteristic
350C2×C4⋊C4×C89C2311yescharacteristic
351C2×C4⋊C4×C89C2311yescharacteristic
352C2×C4⋊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×C22⋊C4×C89C2311yescharacteristic
360C2×C22⋊C4×C89C2311yescharacteristic
361C2×C22⋊C4×C89C2311yescharacteristic
362C2×C22⋊C4×C89C2311yescharacteristic
363C2×C42×C89—42no—
364C2×C42×C89C2311yescharacteristic
365C2×C42×C89C2311yescharacteristic
366C2×C42×C89C2311yescharacteristic
367C2×C42×C89C2311yescharacteristic
368C2×C42×C89C2311yescharacteristic
369C2×C42×C89C2311yescharacteristic
370#95×C89C2311yescharacteristic
371#95×C89C2311yescharacteristic
372#95×C89C2311yescharacteristic
373#95×C89C2311yescharacteristic
374#95×C89C2311yescharacteristic
375#95×C89C2311yescharacteristic
376C23×D89—22no—
377C23×D89—22no—
378C23×D89—41no—
379C23×D89—41no—
380C23×D89—41no—
381C23×D89—41no—
382C23×D89—41no—
383C23×D89—41no—
384C23×D89—41no—
385C23×D89—41no—
386C23×D89—41no—
387C23×D89—41no—
388C23×D89C22×C414yes—
389C23×D89C22×C414yes—
390C23×D89C2411yescharacteristic
391C23×D89C2411yescharacteristic
392C23×D89C2411yescharacteristic
393#13083573—416no—
394C2×Dic178—41no—
395C2×Dic178—41no—
396C2×Dic178C22×C414yes—
397C2×D356—41no—
398C2×D356—41no—
399C2×D356C22×C414yes—
400C2×C22⋊D89—22no—
401C2×C22⋊D89—22no—
402C2×C22⋊D89—41no—
403C2×C22⋊D89—41no—
404C2×C22⋊D89—41no—
405C2×C22⋊D89—41no—
406C2×C22⋊D89—41no—
407C2×C22⋊D89—41no—
408C2×C22⋊D89—41no—
409C2×C22⋊D89—41no—
410C2×C22⋊D89C22×C414yes—
411C2×C22⋊D89C22×C414yes—
412C2×C22⋊D89C22×C414yes—
413C2×C22⋊D89C22×C414yes—
414C2×C22⋊D89C22×C414yes—
415D4×D89—416no—
416C22×Dic89—22no—
417C22×Dic89—22no—
418C22×Dic89—22no—
419C22×Dic89—22no—
420C22×Dic89—41no—
421C22×Dic89—41no—
422C22×Dic89—41no—
423C22×Dic89—41no—
424C22×Dic89—41no—
425C22×Dic89—41no—
426C22×Dic89—41no—
427C22×Dic89—41no—
428C22×Dic89—41no—
429C22×Dic89—41no—
430C22×Dic89—41no—
431C22×Dic89—41no—
432C22×Dic89C22×C414yes—
433C22×Dic89C22×C414yes—
434C22×Dic89C2411yescharacteristic
435C22×Dic89C2411yescharacteristic
436C22×Dic89C2411yescharacteristic
437C22×Dic89C2411yescharacteristic
438C22×Dic89C2411yescharacteristic
439C22×Dic89C2411yescharacteristic
440C22×Dic89C2411yescharacteristic
441C22×Dic89C2411yescharacteristic
442C22×Dic89C2411yescharacteristic
443C22×Dic89C2411yescharacteristic
444C22×Dic89C2411yescharacteristic
445C22×Dic89C2411yescharacteristic
446C22×Dic89C2411yescharacteristic
447C2×C4×D89—41no—
448C2×C4×D89—41no—
449C2×C4×D89—41no—
450C2×C4×D89—41no—
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×D89C22×C414yes—
460C2×C4×D89C22×C414yes—
461C2×C4×D89C22×C414yes—
462C4⋊Dic89—41no—
463C4⋊Dic89—41no—
464#13083553—22no—
465#13083553—41no—
466#13083553—41no—
467#13083553—41no—
468#13083553—41no—
469#13083553—41no—
470#13083553—41no—
471#13083553—41no—
472#13083553—41no—
473#13083553—41no—
474#13083553C22×C414yes—
475#13083553C22×C414yes—
476#13083553C22×C414yes—
477C22⋊Dic89—22no—
478C22⋊Dic89—22no—
479C22⋊Dic89—41no—
480C22⋊Dic89—41no—
481C22⋊Dic89—41no—
482C22⋊Dic89—41no—
483C22⋊Dic89—41no—
484C22⋊Dic89—41no—
485C22⋊Dic89C22×C414yes—
486C22⋊Dic89C22×C414yes—
487C22⋊Dic89C22×C414yes—
488#13083551—22no—
489#13083551—22no—
490#13083551—22no—
491#13083551—41no—
492#13083551—41no—
493#13083551—41no—
494#13083551—41no—
495#13083551—41no—
496#13083551—41no—
497#13083551—41no—
498#13083551—41no—
499#13083551—41no—
500#13083551—41no—
501#13083551—41no—
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#13083551C22×C414yes—
511#13083551C22×C414yes—
512#13083551C22×C414yes—
513#13083551C22×C414yes—
514#13083551C22×C414yes—
515#13083551C22×C414yes—
516#13083551C22×C414yes—
517C4×Dic89—41no—
518C4×Dic89—41no—
519C4×Dic89—41no—
520C4×Dic89—41no—
521C4×Dic89—41no—
522C4×Dic89—41no—
523C4×Dic89—41no—
524C4×Dic89—41no—
525C4×Dic89—41no—
526C4×Dic89—41no—
527C4×Dic89C22×C414yes—
528C24×C89C2411yescharacteristic
529C24×C89C2411yescharacteristic
530C24×C89C2411yescharacteristic
531C2×D4×C89—22no—
532C2×D4×C89—22no—
533C2×D4×C89—22no—
534C2×D4×C89—22no—
535C2×D4×C89—41no—
536C2×D4×C89—41no—
537C2×D4×C89C22×C414yes—
538C2×D4×C89C22×C414yes—
539C2×D4×C89C22×C414yes—
540C22×C4×C89—22no—
541C22×C4×C89—22no—
542C22×C4×C89—22no—
543C22×C4×C89—22no—
544C22×C4×C89—22no—
545C22×C4×C89—41no—
546C22×C4×C89—41no—
547C22×C4×C89—41no—
548C22×C4×C89—41no—
549C22×C4×C89—41no—
550C22×C4×C89—41no—
551C22×C4×C89—41no—
552C22×C4×C89—41no—
553C22×C4×C89—41no—
554C22×C4×C89C22×C414yes—
555C22×C4×C89C2411yescharacteristic
556C22×C4×C89C2411yescharacteristic
557C22×C4×C89C2411yescharacteristic
558C22×C4×C89C2411yescharacteristic
559C22×C4×C89C2411yescharacteristic
560C22×C4×C89C2411yescharacteristic
561C22×C4×C89C2411yescharacteristic
562C22×C4×C89C2411yescharacteristic
563C22×C4×C89C2411yescharacteristic
564C22×C4×C89C2411yescharacteristic
565C22×C4×C89C2411yescharacteristic
566C22×C4×C89C2411yescharacteristic
567C4⋊C4×C89—41no—
568C4⋊C4×C89—41no—
569C4⋊C4×C89—41no—
570C4⋊C4×C89—41no—
571C4⋊C4×C89C22×C414yes—
572C22⋊C4×C89—22no—
573C22⋊C4×C89—22no—
574C22⋊C4×C89—41no—
575C22⋊C4×C89—41no—
576C22⋊C4×C89—41no—
577C22⋊C4×C89—41no—
578C22⋊C4×C89—41no—
579C22⋊C4×C89—41no—
580C22⋊C4×C89C22×C414yes—
581C22⋊C4×C89C22×C414yes—
582C42×C89—22no—
583C42×C89—22no—
584C42×C89—41no—
585C42×C89—41no—
586C42×C89—41no—
587C42×C89—41no—
588C23×C89—21no—
589C23×C89—21no—
590C23×C89—21no—
591C23×C89—21no—
592C23×C89—21no—
593C23×C89—21no—
594C23×C89—21no—
595C23×C89—21no—
596C23×C89—21no—
597C23×C89—21no—
598C23×C89—21no—
599C23×C89—21no—
600C23×C89—21no—
601C23×C89—21no—
602C23×C89—21no—
603C23×C89—21no—
604C23×C89C23×C412yes—
605C23×C89C23×C412yes—
606C23×C89C23×C412yes—
607C23×C89H(5,𝔽2)12yes—
608C23×C89H(5,𝔽2)12yes—
609C23×C89C2511yescharacteristic
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×D89—21no—
628C22×D89—28no—
629C22×D89—44no—
630C22×D89—44no—
631C22×D89—44no—
632C22×D89—44no—
633C22×D89—44no—
634C22×D89—82no—
635C22×D89—82no—
636C22×D89—82no—
637C22×D89—82no—
638C22×D89—82no—
639C22×D89—82no—
640C22×D89—82no—
641C22×D89—82no—
642C22×D89C23×C412yes—
643C22×D89C23×C412yes—
644C22×D89C23×C412yes—
645D4×C89—28no—
646D4×C89—28no—
647D4×C89—44no—
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—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—44no—
680C2×C4×C89—44no—
681C2×C4×C89—44no—
682C2×C4×C89—82no—
683C2×C4×C89—82no—
684C2×C4×C89C23×C412yes—
685C2×C4×C89C23×C412yes—
686C2×C4×C89C23×C412yes—
687C2×C4×C89C23×C412yes—
688C2×C4×C89H(5,𝔽2)12yes—
689C22⋊D89—28no—
690C22⋊D89—44no—
691C22⋊D89—44no—
692C22⋊D89—44no—
693C22⋊D89—44no—
694C2×Dic89—28no—
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—21no—
713C2×Dic89—21no—
714C2×Dic89—21no—
715C2×Dic89—21no—
716C2×Dic89—21no—
717C2×Dic89—21no—
718C2×Dic89—21no—
719C2×Dic89—21no—
720C2×Dic89—21no—
721C2×Dic89—21no—
722C2×Dic89—21no—
723C2×Dic89—21no—
724C2×Dic89—21no—
725C2×Dic89—21no—
726C2×Dic89—21no—
727C2×Dic89—21no—
728C2×Dic89—21no—
729C2×Dic89—44no—
730C2×Dic89—82no—
731C2×Dic89—82no—
732C2×Dic89—82no—
733C2×Dic89—82no—
734C2×Dic89C23×C412yes—
735C2×Dic89C23×C412yes—
736C2×Dic89C23×C412yes—
737C2×Dic89C23×C412yes—
738C2×Dic89C23×C412yes—
739D356—44no—
740C4×D89—44no—
741C4×D89—44no—
742C4×D89—44no—
743C4×D89—82no—
744C4×D89—82no—
745Dic178—44no—
746C22×C89—22no—
747C22×C89—22no—
748C22×C89—22no—
749C22×C89—22no—
750C22×C89—22no—
751C22×C89—22no—
752C22×C89—22no—
753C22×C89—22no—
754C22×C89—22no—
755C22×C89—22no—
756C22×C89—22no—
757C22×C89—22no—
758C22×C89—41no—
759C22×C89—41no—
760C22×C89—41no—
761C22×C89—41no—
762C22×C89—41no—
763C22×C89—41no—
764C22×C89—41no—
765C22×C89—41no—
766C22×C89#51814yes—
767C22×C89C24×C411yescharacteristic
768C22×C89C2×H(5,𝔽2)11yescharacteristic
769C22×C89C2×H(5,𝔽2)11yescharacteristic
770C22×C89C2×H(5,𝔽2)11yescharacteristic
771C22×C89#58511yescharacteristic
772C22×C89#58511yescharacteristic
773C22×C89#58511yescharacteristic
774C2×D89—22no—
775C2×D89—22no—
776C2×D89—22no—
777C2×D89—22no—
778C2×D89—22no—
779C2×D89—22no—
780C2×D89—22no—
781C2×D89—22no—
782C2×D89—22no—
783C2×D89—41no—
784C2×D89—41no—
785C2×D89—41no—
786C2×D89—41no—
787C2×D89—41no—
788C2×D89—41no—
789C2×D89—41no—
790C2×D89—41no—
791C2×D89—41no—
792C2×D89—41no—
793C2×D89—41no—
794C2×D89—41no—
795C2×D89—88no—
796C2×D89—88no—
797C4×C89—22no—
798C4×C89—22no—
799C4×C89—22no—
800C4×C89—22no—
801C4×C89—22no—
802C4×C89—41no—
803C4×C89—41no—
804C4×C89—41no—
805C4×C89—41no—
806C4×C89—41no—
807C4×C89—41no—
808C4×C89—41no—
809Dic89—22no—
810Dic89—22no—
811Dic89—22no—
812Dic89—22no—
813Dic89—22no—
814Dic89—41no—
815Dic89—41no—
816Dic89—41no—
817Dic89—41no—
818Dic89—41no—
819Dic89—41no—
820Dic89—41no—
821Dic89—41no—
822#34492—891nomaximal, Sylow
823C2×C89—24no—
824C2×C89—42no—
825C2×C89—42no—
826C2×C89C2×#51811yescharacteristic
827C2×C89#342811yescharacteristic
828C2×C89C4×H(5,𝔽2)11yescharacteristic
829C2×C89#353411yescharacteristic
830C2×C89#354211yescharacteristic
831C2×C89#354511yescharacteristic
832C2×C89#356011yescharacteristic
833D89—42no—
834D89—42no—
835D89—42no—
836C2×#546—891no—
837#2378—891no—
838#2377—891no—
839#2376—891no—
840#2375—891no—
841#2372—891no—
842#2364—891no—
843#2363—891no—
844#2359—891no—
845#2358—891no—
846#2353—891no—
847#2353—891no—
848#2342—891no—
849#2342—891no—
850#2339—891no—
851D4×C22⋊C4—891no—
852#2337—891no—
853#2335—891no—
854#2333—891no—
855#2332—891no—
856#2325—891no—
857#2322—891no—
858#2321—891no—
859#2321—891no—
860#2319—891no—
861#2312—891no—
862#2311—891no—
863#2308—891no—
864C4×#121D8911yescharacteristic, complemented
865#2290—891no—
866C2×#388—891no—
867C89#3449211yescharacteristic, complemented, Sylow
868C22×#41—891no—
869C23×D4—891no—
870#546—8916no—
871C2×#124—891no—
872C2×#123—891no—
873C2×#123—891no—
874C2×C22⋊Q8—891no—
875C2×#121—891no—
876C2×#121—891no—
877C2×#121C2×D8911yescharacteristic
878C2×#120—891no—
879C2×#120—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×C4×D4C2×D8911yescharacteristic, complemented
887C2×C4×D4C2×D8911yescharacteristic, complemented
888C2×#117—891no—
889C2×#117—891no—
890C22×C4⋊C4—891no—
891C22×C22⋊C4—891no—
892C22×C22⋊C4—891no—
893C22×C22⋊C4—891no—
894C22×C22⋊C4—891no—
895C22×C22⋊C4—891no—
896C22×C22⋊C4—891no—
897C22×C42C2×D8911yescharacteristic, complemented
898#391—891no—
899#391—891no—
900#391—891no—
901#391—891no—
902#390—891no—
903#390—891no—
904#390—891no—
905#390—891no—
906#390—891no—
907#390—891no—
908#390—891no—
909#390C2×D8911yescharacteristic, complemented
910#389—891no—
911#389—891no—
912#389—891no—
913#389C2×D8911yescharacteristic, complemented
914#388—891no—
915#388—891no—
916#388—891no—
917#388—891no—
918#388—891no—
919#388—891no—
920#388—891no—
921#388—891no—
922#388—891no—
923#388—891no—
924#388—891no—
925#388—891no—
926#388—891no—
927#388—891no—
928#388—891no—
929#388—891no—
930#388—891no—
931#388—891no—
932#388—891no—
933#388—891no—
934#388—891no—
935#388—891no—
936#388—891no—
937#388—891no—
938#388—891no—
939#388—891no—
940#388—891no—
941#388—891no—
942#388C2×D8911yescharacteristic, complemented
943#388C2×D8911yescharacteristic, complemented
944#387—891no—
945#387—891no—
946#387—891no—
947#387—891no—
948#387—891no—
949#387—891no—
950#387—891no—
951#387—891no—
952#387—891no—
953#387—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#386—891no—
969#386—891no—
970#386—891no—
971#386—891no—
972#386—891no—
973#386—891no—
974#386C2×D8911yescharacteristic
975#386C2×D8911yescharacteristic, complemented
976#385—891no—
977#385—891no—
978#385—891no—
979#385—891no—
980#385—891no—
981#385—891no—
982#385—891no—
983#385—891no—
984#383—891no—
985#381—891no—
986#381—891no—
987#381—891no—
988#381—891no—
989#381—891no—
990#380—891no—
991#380—891no—
992#380—891no—
993#380—891no—
994#380—891no—
995#380—891no—
996#380C2×D8911yescharacteristic, complemented
997#379—891no—
998#379—891no—
999#379—891no—
1000#379—891no—
1001C4×C4⋊C4—891no—
1002C4×C4⋊C4—891no—
1003C4×C4⋊C4C2×D8911yescharacteristic, complemented
1004C4×C22⋊C4—891no—
1005C4×C22⋊C4—891no—
1006C4×C22⋊C4—891no—
1007C4×C22⋊C4—891no—
1008C4×C22⋊C4—891no—
1009C4×C22⋊C4—891no—
1010C4×C22⋊C4—891no—
1011C4×C22⋊C4—891no—
1012C4×C22⋊C4—891no—
1013C4×C22⋊C4—891no—
1014C4×C22⋊C4—891no—
1015C4×C22⋊C4—891no—
1016C4×C22⋊C4—891no—
1017C4×C22⋊C4C2×D8911yescharacteristic, complemented
1018C4×C22⋊C4C2×D8911yescharacteristic, complemented
1019#376—891no—
1020#376—891no—
1021C2×#95—891no—
1022C2×#95—891no—
1023C2×#95—891no—
1024C25—891no—
1025C25—891no—
1026C2×#41—898no—
1027C2×#41—3562no—
1028C2×#41—3562no—
1029C22×Q8—891no—
1030C22×D4—891no—
1031C22×D4—891no—
1032C22×D4—891no—
1033C22×D4—891no—
1034C22×D4—891no—
1035C22×D4—898no—
1036C22×D4—891no—
1037C22×D4—3562no—
1038C22×D4—3562no—
1039C22×D4C22×D8911yescharacteristic
1040C22×D4C22×D8911yescharacteristic
1041C22×D4C22×D8911yescharacteristic
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×C4—891no—
1053C23×C4C22×D8911yescharacteristic
1054C23×C4C22×D8911yescharacteristic
1055C23×C4C22×D8911yescharacteristic
1056C23×C4C22×D8911yescharacteristic
1057C23×C4C22×D8911yescharacteristic
1058#124—898no—
1059#123—898no—
1060#123—898no—
1061C22⋊Q8—898no—
1062#121—898no—
1063#121—898no—
1064#121C4×D8918yescomplemented
1065#120—898no—
1066#120—898no—
1067C4×D4—42no—
1068C4×D4—42no—
1069C4×D4—42no—
1070C4×D4—898no—
1071C4×D4—898no—
1072C4×D4—3562no—
1073C4×D4—3562no—
1074C4×D4—3562no—
1075#117—3562no—
1076#117—3562no—
1077C2×C4⋊C4—891no—
1078C2×C4⋊C4—891no—
1079C2×C4⋊C4—891no—
1080C2×C4⋊C4—891no—
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—3562no—
1093C2×C4⋊C4C22×D8911yescharacteristic
1094C2×C4⋊C4C22×D8911yescharacteristic
1095C2×C4⋊C4C22×D8911yescharacteristic
1096C2×C4⋊C4C22×D8911yescharacteristic
1097C2×C4⋊C4C22×D8911yescharacteristic
1098C2×C22⋊C4—891no—
1099C2×C22⋊C4—891no—
1100C2×C22⋊C4—891no—
1101C2×C22⋊C4—898no—
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—898no—
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⋊C4—891no—
1135C2×C22⋊C4—891no—
1136C2×C22⋊C4—891no—
1137C2×C22⋊C4—891no—
1138C2×C22⋊C4—891no—
1139C2×C22⋊C4—891no—
1140C2×C22⋊C4—3562no—
1141C2×C22⋊C4—3562no—
1142C2×C22⋊C4—3562no—
1143C2×C22⋊C4—3562no—
1144C2×C22⋊C4C22×D8911yescharacteristic
1145C2×C22⋊C4C22×D8911yescharacteristic
1146C2×C22⋊C4C22×D8911yescharacteristic
1147C2×C22⋊C4C22×D8911yescharacteristic
1148C2×C22⋊C4C22×D8911yescharacteristic
1149C2×C22⋊C4C22×D8911yescharacteristic
1150C2×C22⋊C4C22×D8911yescharacteristic
1151C2×C22⋊C4C22×D8911yescharacteristic
1152C2×C22⋊C4C22×D8911yescharacteristic
1153C2×C22⋊C4C22×D8911yescharacteristic
1154C2×C42—42no—
1155C2×C42—891no—
1156C2×C42—891no—
1157C2×C42—891no—
1158C2×C42—891no—
1159C2×C42—891no—
1160C2×C42—891no—
1161C2×C42—891no—
1162C2×C42—891no—
1163C2×C42—891no—
1164C2×C42—891no—
1165C2×C42—891no—
1166C2×C42C22×D8911yescharacteristic
1167C2×C42C22×D8911yescharacteristic
1168C2×C42C22×D8911yescharacteristic
1169C2×C42C22×D8911yescharacteristic
1170C2×C42C22×D8911yescharacteristic
1171C2×C42C22×D8911yescharacteristic
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#95—891no—
1191#95—891no—
1192#95—891no—
1193#95—891no—
1194#95—891no—
1195#95—891no—
1196#95—891no—
1197#95—891no—
1198#95—891no—
1199#95—891no—
1200#95—891no—
1201#95—891no—
1202#95—891no—
1203#95—891no—
1204#95—891no—
1205#95—891no—
1206#95C22×D8911yescharacteristic
1207#95C22×D8911yescharacteristic
1208#95C22×D8911yescharacteristic
1209#95C22×D8911yescharacteristic
1210#95C22×D8911yescharacteristic
1211#95C22×D8911yescharacteristic
1212C24—894no—
1213C24—894no—
1214C24—891no—
1215C24—891no—
1216C24—891no—
1217C24—3561no—
1218C24—3561no—
1219C24—3561no—
1220C24—3561no—
1221C24—3561no—
1222C24—3561no—
1223C24—3561no—
1224C24—3561no—
1225C24—3561no—
1226C24—3561no—
1227C24—1782no—
1228C24—1782no—
1229C24C23×D8911yescharacteristic
1230C24C23×D8911yescharacteristic
1231C24C23×D8911yescharacteristic
1232#41—35616no—
1233C2×Q8—894no—
1234C2×Q8—3561no—
1235C2×Q8—3561no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—41no—
1241C2×D4—41no—
1242C2×D4—894no—
1243C2×D4—894no—
1244C2×D4—894no—
1245C2×D4—894no—
1246C2×D4—894no—
1247C2×D4—894no—
1248C2×D4—3561no—
1249C2×D4—3561no—
1250C2×D4—35616no—
1251C2×D4—3561no—
1252C2×D4—3561no—
1253C2×D4—3561no—
1254C2×D4—3561no—
1255C2×D4—3561no—
1256C2×D4—3561no—
1257C2×D4—3561no—
1258C2×D4—3561no—
1259C2×D4—1782no—
1260C2×D4—1782no—
1261C2×D4C2×C4×D8914yes—
1262C2×D4C2×C4×D8914yes—
1263C2×D4C2×C4×D8914yes—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—41no—
1273C22×C4—41no—
1274C22×C4—41no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—894no—
1279C22×C4—894no—
1280C22×C4—891no—
1281C22×C4—891no—
1282C22×C4—891no—
1283C22×C4—891no—
1284C22×C4—891no—
1285C22×C4—894no—
1286C22×C4—894no—
1287C22×C4—894no—
1288C22×C4—891no—
1289C22×C4—891no—
1290C22×C4—891no—
1291C22×C4—891no—
1292C22×C4—891no—
1293C22×C4—891no—
1294C22×C4—891no—
1295C22×C4—891no—
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—3561no—
1318C22×C4—3561no—
1319C22×C4—3561no—
1320C22×C4—1782no—
1321C22×C4—1782no—
1322C22×C4—1782no—
1323C22×C4—1782no—
1324C22×C4C2×C4×D8914yes—
1325C22×C4C23×D8911yescharacteristic
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
1337C4⋊C4—41no—
1338C4⋊C4—41no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—894no—
1342C4⋊C4—894no—
1343C4⋊C4—894no—
1344C4⋊C4—3561no—
1345C4⋊C4—3561no—
1346C4⋊C4—3561no—
1347C4⋊C4—3561no—
1348C4⋊C4—3561no—
1349C4⋊C4—3561no—
1350C4⋊C4—3561no—
1351C4⋊C4—3561no—
1352C4⋊C4—3561no—
1353C4⋊C4—3561no—
1354C4⋊C4—3561no—
1355C4⋊C4—1782no—
1356C4⋊C4C2×C4×D8914yes—
1357C22⋊C4—22no—
1358C22⋊C4—22no—
1359C22⋊C4—41no—
1360C22⋊C4—41no—
1361C22⋊C4—41no—
1362C22⋊C4—41no—
1363C22⋊C4—41no—
1364C22⋊C4—41no—
1365C22⋊C4—894no—
1366C22⋊C4—894no—
1367C22⋊C4—894no—
1368C22⋊C4—894no—
1369C22⋊C4—894no—
1370C22⋊C4—894no—
1371C22⋊C4—894no—
1372C22⋊C4—894no—
1373C22⋊C4—894no—
1374C22⋊C4—894no—
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—3561no—
1395C22⋊C4—3561no—
1396C22⋊C4—3561no—
1397C22⋊C4—3561no—
1398C22⋊C4—3561no—
1399C22⋊C4—3561no—
1400C22⋊C4—1782no—
1401C22⋊C4—1782no—
1402C22⋊C4—1782no—
1403C22⋊C4—1782no—
1404C22⋊C4—1782no—
1405C22⋊C4C2×C4×D8914yes—
1406C22⋊C4C2×C4×D8914yes—
1407C42—22no—
1408C42—22no—
1409C42—41no—
1410C42—41no—
1411C42—41no—
1412C42—41no—
1413C42—894no—
1414C42—3561no—
1415C42—3561no—
1416C42—3561no—
1417C42—3561no—
1418C42—3561no—
1419C42—3561no—
1420C42—3561no—
1421C42—3561no—
1422C42—3561no—
1423C42—3561no—
1424C23—21no—
1425C23—21no—
1426C23—21no—
1427C23—21no—
1428C23—21no—
1429C23—21no—
1430C23—21no—
1431C23—21no—
1432C23—21no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—892no—
1441C23—892no—
1442C23—892no—
1443C23—3564no—
1444C23—3564no—
1445C23—3564no—
1446C23—3564no—
1447C23—3564no—
1448C23—1781no—
1449C23—1781no—
1450C23—1781no—
1451C23—1781no—
1452C23—1781no—
1453C23—1781no—
1454C23—1781no—
1455C23—1781no—
1456C23—1781no—
1457C23—1781no—
1458C23—1781no—
1459C23—1781no—
1460C23—1781no—
1461C23—1781no—
1462C23—1781no—
1463C23—1781no—
1464C23—1781no—
1465C23—1781no—
1466C23—1788no—
1467C23—7122no—
1468C23—7122no—
1469C23—7122no—
1470C23—7122no—
1471C23—7122no—
1472C23—7122no—
1473C23—7122no—
1474C23—7122no—
1475C23C22×C4×D8912yes—
1476C23C22×C4×D8912yes—
1477C23C22×C4×D8912yes—
1478C23#1566805712yes—
1479C23#1566805812yes—
1480C23C24×D8911yescharacteristic
1481Q8—3564no—
1482D4—28no—
1483D4—28no—
1484D4—44no—
1485D4—3564no—
1486D4—3564no—
1487D4—3564no—
1488D4—3564no—
1489D4—3564no—
1490D4—1788no—
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—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—44no—
1523C2×C4—44no—
1524C2×C4—44no—
1525C2×C4—82no—
1526C2×C4—82no—
1527C2×C4—892no—
1528C2×C4—892no—
1529C2×C4—892no—
1530C2×C4—892no—
1531C2×C4—892no—
1532C2×C4—3564no—
1533C2×C4—3564no—
1534C2×C4—3564no—
1535C2×C4—3564no—
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—1781no—
1556C2×C4—1781no—
1557C2×C4—1781no—
1558C2×C4—1781no—
1559C2×C4—1781no—
1560C2×C4—1781no—
1561C2×C4—1781no—
1562C2×C4—1781no—
1563C2×C4—1781no—
1564C2×C4—1781no—
1565C2×C4—1781no—
1566C2×C4—1781no—
1567C2×C4—1781no—
1568C2×C4—1781no—
1569C2×C4—1781no—
1570C2×C4—1788no—
1571C2×C4—7122no—
1572C2×C4—7122no—
1573C2×C4—7122no—
1574C2×C4—7122no—
1575C2×C4—7122no—
1576C2×C4—7122no—
1577C2×C4C22×C4×D8912yes—
1578C2×C4C22×C4×D8912yes—
1579C2×C4C22×C4×D8912yes—
1580C2×C4C22×C4×D8912yes—
1581C2×C4#1566805712yes—
1582C22—22no—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—22no—
1591C22—22no—
1592C22—22no—
1593C22—22no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—3561no—
1603C22—3561no—
1604C22—3561no—
1605C22—3561no—
1606C22—3561no—
1607C22—3561no—
1608C22—3561no—
1609C22—3561no—
1610C22—3561no—
1611C22—3561no—
1612C22—3561no—
1613C22—3561no—
1614C22—1782no—
1615C22—1782no—
1616C22—1782no—
1617C22—1782no—
1618C22—1782no—
1619C22—1782no—
1620C22—1782no—
1621C22—1782no—
1622C22—1782no—
1623C22—7128no—
1624C22—7128no—
1625C22#1915207014yes—
1626C22C23×C4×D8911yescharacteristic
1627C22C2×#1566805711yescharacteristic
1628C22C2×#1566805711yescharacteristic
1629C22C2×#1566805811yescharacteristic
1630C22#1915243411yescharacteristic
1631C22#1915243411yescharacteristic
1632C22#1915243411yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—22no—
1637C4—22no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—41no—
1645C4—3561no—
1646C4—3561no—
1647C4—3561no—
1648C4—3561no—
1649C4—3561no—
1650C4—3561no—
1651C4—3561no—
1652C4—3561no—
1653C4—1782no—
1654C4—1782no—
1655C4—1782no—
1656C4—1782no—
1657C4—1782no—
1658C2—24no—
1659C2—42no—
1660C2—42no—
1661C2—3562no—
1662C2—3562no—
1663C2—3562no—
1664C2C2×#1915207011yescharacteristic
1665C2#2603345111yescharacteristic
1666C2C4×#1566805711yescharacteristic
1667C2#2603444211yescharacteristic
1668C2#2603456811yescharacteristic
1669C2#2603460411yescharacteristic
1670C2#2603480811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutatorC22×C89C24×C4
FittingC4×#121×C89C2
socle, cosocleC23×C89C25
prime radicalC2×#19152237C2
hypercenterC4×#121D89
hypocenterC89#34492
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C23 ◁ C4×#121

Complements

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

NH ≅ G/Ntype
2. #26023414C2semidirect
3. #26023403C2semidirect
4. #26023397C2semidirect
5. #26023389C2semidirect
6. #26023360C2semidirect
7. #26023304C2semidirect
8. #26023291C2semidirect
9. #26023238C2semidirect
10. #26023229C2semidirect
11. #26023194C2semidirect
12. #26023186C2semidirect
13. #26023098C2semidirect
14. #26023095C2semidirect
15. #26023077C2semidirect
16. D4×#13083551C2semidirect
17. #26023063C2semidirect
18. #26023036C2semidirect
19. #26023015C2semidirect
20. #26023003C2semidirect
21. #26022950C2semidirect
22. #26022926C2semidirect
23. #26022915C2semidirect
24. #26022906C2semidirect
25. #26022893C2semidirect
26. #26022846C2semidirect
27. #26022839C2semidirect
28. #26022826C2semidirect
29. #26022695C2semidirect
30. C2×#19151489C2semidirect
31. C4×#121×C89C2semidirect
34. #19152237C4semidirect
44. C2×D4×Dic89C22semidirect
46. C2×C4×C22⋊D89C22semidirect
48. C2×#15667969C22semidirect
49. C2×#15667968C22semidirect
50. C22×#13083553C22semidirect
57. #19151504C22semidirect
58. #19151503C22semidirect
59. #19151502C22semidirect
60. #19151502C22semidirect
65. #19151498C22semidirect
66. #19151498C22semidirect
67. #19151498C22semidirect
68. #19151495C22semidirect
69. #19151495C22semidirect
70. #19151493C22semidirect
71. #19151492C22semidirect
72. #19151491C22semidirect
73. #19151491C22semidirect
75. #19151490C22semidirect
81. #19151489C22semidirect
82. #19151489C22semidirect
83. #19151489C22semidirect
84. #19151489C22semidirect
85. #19151489C22semidirect
86. #19151489C22semidirect
90. #19151488C22semidirect
91. #19151488C22semidirect
95. #19151487C22semidirect
96. #19151486C22semidirect
97. #19151486C22semidirect
98. #19151486C22semidirect
99. #19151484C22semidirect
100. #19151484C22semidirect
101. #19151482C22semidirect
102. #19151482C22semidirect
103. #19151482C22semidirect
104. #19151480C22semidirect
105. #19151480C22semidirect
106. #19151479C22semidirect
107. #19151479C22semidirect
108. #19151479C22semidirect
110. #19151478C22semidirect
111. #19151478C22semidirect
112. #19151478C22semidirect
117. #19151477C22semidirect
124. #19151475C22semidirect
125. #19151475C22semidirect
128. #19151474C22semidirect
129. #19151471C22semidirect
130. #19151471C22semidirect
131. #19151471C22semidirect
132. #19151470C22semidirect
133. #19151470C22semidirect
134. #19151469C22semidirect
135. #19151469C22semidirect
136. #19151469C22semidirect
137. #19151465C22semidirect
140. #19151460C22semidirect
141. #19151459C22semidirect
142. #19151459C22semidirect
143. #19151457C22semidirect
144. #19151457C22semidirect
145. #19151456C22semidirect
146. #19151456C22semidirect
148. #19151455C22semidirect
153. C4×#13083553C22semidirect
154. C4×#13083553C22semidirect
155. C22⋊C4×Dic89C22semidirect
156. C22⋊C4×Dic89C22semidirect
157. C22⋊C4×Dic89C22semidirect
158. C22⋊C4×Dic89C22semidirect
160. C4×#13083551C22semidirect
161. C4×#13083551C22semidirect
162. C4×#13083551C22semidirect
163. C4×C22⋊Dic89C22semidirect
164. C4×C22⋊Dic89C22semidirect
165. #19151445C22semidirect
166. #19151445C22semidirect
167. #19151445C22semidirect
168. #19151444C22semidirect
169. #19151443C22semidirect
170. C2×#15667919C22semidirect
171. C2×#15667919C22semidirect
172. C2×#15667919C22semidirect
175. C2×C4×D4×C89C22semidirect
176. C2×C4×D4×C89C22semidirect
177. C22×C42×C89C22semidirect
178. #390×C89C22semidirect
179. #389×C89C22semidirect
180. #388×C89C22semidirect
181. #388×C89C22semidirect
183. #386×C89C22semidirect
184. #380×C89C22semidirect
185. C4×C4⋊C4×C89C22semidirect
186. C4×C22⋊C4×C89C22semidirect
187. C4×C22⋊C4×C89C22semidirect
192. C2×#13083573C2×C4semidirect
202. C2×D4×D89C2×C4semidirect
214. #15667998C2×C4semidirect
215. #15667997C2×C4semidirect
216. #15667993C2×C4semidirect
217. #15667990C2×C4semidirect
218. #15667985C2×C4semidirect
219. #15667984C2×C4semidirect
220. #15667980C2×C4semidirect
221. #15667980C2×C4semidirect
225. C4×C22⋊D89C2×C4semidirect
226. #15667972C2×C4semidirect
259. C2×#13083551C2×C4semidirect
290. C22⋊C4×D89C2×C4semidirect
344. #121×C89C2×C4semidirect
864. C4×#121D89semidirect
867. C89#34492semidirect
886. C2×C4×D4C2×D89semidirect
887. C2×C4×D4C2×D89semidirect
897. C22×C42C2×D89semidirect
909. #390C2×D89semidirect
913. #389C2×D89semidirect
942. #388C2×D89semidirect
943. #388C2×D89semidirect
975. #386C2×D89semidirect
996. #380C2×D89semidirect
1003. C4×C4⋊C4C2×D89semidirect
1017. C4×C22⋊C4C2×D89semidirect
1018. C4×C22⋊C4C2×D89semidirect
1064. #121C4×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191522372
#260234142
#260234032
#260233972
#260233892
#260233602
#260233042
#260232912
#260232382
#260232292
#260231942
#260231862
#260230982
#260230952
#260230772
D4×#130835512
#260230632
#260230362
#260230152
#260230032
#260229502
#260229262
#260229152
#260229062
#260228932
#260228462
#260228392
#260228262
#260226952
C2×#191514892
C4×#121×C892
#3449289