Finite Group Databasebeta

← #36723291

Subgroups — #36723291

Order 22784.

2738 conjugacy classes of subgroups.

The subgroup lattice has 1628 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152107C211yesmaximal, characteristic
2C2×C4×#13083574C211yesmaximal, characteristic, complemented
3#26023776C211yesmaximal, characteristic, complemented
4#26023774C211yesmaximal, characteristic, complemented
5#26023765C211yesmaximal, characteristic, complemented
6#26023763C211yesmaximal, characteristic, complemented
7#26023754C211yesmaximal, characteristic, complemented
8#26023752C211yesmaximal, characteristic, complemented
9#26023743C211yesmaximal, characteristic, complemented
10#26023741C211yesmaximal, characteristic, complemented
11#26023736C211yesmaximal, characteristic, complemented
12#26023734C211yesmaximal, characteristic, complemented
13#26023728C211yesmaximal, characteristic, complemented
14#26023726C211yesmaximal, characteristic, complemented
15#26023721C211yesmaximal, characteristic, complemented
16#26023719C211yesmaximal, characteristic, complemented
17#26023713C211yesmaximal, characteristic, complemented
18#26023711C211yesmaximal, characteristic, complemented
19#26023515C211yesmaximal, characteristic, complemented
20#26023513C211yesmaximal, characteristic, complemented
21#26023512C211yesmaximal, characteristic, complemented
22#26023511C211yesmaximal, characteristic, complemented
23C4×#15667997C211yesmaximal, characteristic, complemented
24C4×#15667995C211yesmaximal, characteristic, complemented
25C4×#15667994C211yesmaximal, characteristic, complemented
26#26022738C211yesmaximal, characteristic, complemented
27#26022732C211yesmaximal, characteristic, complemented
28#26022656C211yesmaximal, characteristic, complemented
29#26022633C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D89C211yesmaximal, characteristic, complemented
31C4×#123×C89C211yesmaximal, characteristic, complemented
32C22×#13083574C2211yescharacteristic
33C23×C4×D89C2211yescharacteristic
34#19152107—28no—
35C2×#15667997C2211yescharacteristic
36C2×#15667997C2211yescharacteristic
37C2×#15667995C2211yescharacteristic
38C2×#15667994C2211yescharacteristic
39C2×#15667994C2211yescharacteristic
40C2×#15667990C2211yescharacteristic
41C2×#15667989C2211yescharacteristic
42C2×#15667985C2211yescharacteristic
43C2×#15667984C2211yescharacteristic
44C2×#15667982C2211yescharacteristic
45C2×#15667980C2211yescharacteristic
46C4×#13083574—28no—
47C2×C4×Dic178C2211yescharacteristic, complemented
48C2×C4×Dic178C2211yescharacteristic, complemented
49C2×C4×D356C2211yescharacteristic
50C2×C4×D356C2211yescharacteristic
51C2×C4×D356C2211yescharacteristic
52C2×C4×C22⋊D89C2211yescharacteristic
53C2×C4×C22⋊D89C2211yescharacteristic
54C2×C4×C22⋊D89C2211yescharacteristic
55C2×C4×C22⋊D89C2211yescharacteristic
56C2×C4×C22⋊D89C2211yescharacteristic, complemented
57C2×C4×C22⋊D89C2211yescharacteristic, complemented
58C2×#15667971C2211yescharacteristic, complemented
59C2×#15667969C2211yescharacteristic
60C2×#15667969C2211yescharacteristic
61C2×#15667969C2211yescharacteristic
62C2×#15667969C2211yescharacteristic, complemented
63C2×C22⋊C4×D89C2211yescharacteristic
64C2×C22⋊C4×D89C2211yescharacteristic
65C2×C42×D89C2211yescharacteristic
66C2×C42×D89C2211yescharacteristic
67C2×C42×D89C2211yescharacteristic, complemented
68#19151540C2211yescharacteristic, complemented
69#19151539C2211yescharacteristic, complemented
70#19151538C2211yescharacteristic, complemented
71#19151537C2211yescharacteristic, complemented
72#19151535C2211yescharacteristic
73#19151534C2211yescharacteristic
74#19151534C2211yescharacteristic
75#19151533C2211yescharacteristic
76#19151532C2211yescharacteristic, complemented
77#19151531C2211yescharacteristic, complemented
78#19151530C2211yescharacteristic, complemented
79#19151528C2211yescharacteristic, complemented
80#19151527C2211yescharacteristic
81#19151527C2211yescharacteristic, complemented
82#19151527C2211yescharacteristic, complemented
83#19151526C2211yescharacteristic
84#19151526C2211yescharacteristic, complemented
85#19151526C2211yescharacteristic, complemented
86#19151525C2211yescharacteristic
87#19151525C2211yescharacteristic, complemented
88#19151524C2211yescharacteristic, complemented
89#19151523C2211yescharacteristic
90#19151523C2211yescharacteristic, complemented
91#19151523C2211yescharacteristic, complemented
92#19151516C2211yescharacteristic
93#19151515C2211yescharacteristic
94#19151514C2211yescharacteristic
95#19151514C2211yescharacteristic
96#19151514C2211yescharacteristic
97#19151513C2211yescharacteristic
98#19151512C2211yescharacteristic
99#19151512C2211yescharacteristic
100#19151502C2211yescharacteristic, complemented
101#19151502C2211yescharacteristic, complemented
102#19151498C2211yescharacteristic, complemented
103#19151498C2211yescharacteristic, complemented
104#19151495C2211yescharacteristic, complemented
105#19151495C2211yescharacteristic, complemented
106#19151493C2211yescharacteristic, complemented
107#19151493C2211yescharacteristic, complemented
108#19151492C2211yescharacteristic
109#19151491C2211yescharacteristic
110#19151489C2211yescharacteristic
111#19151489C2211yescharacteristic
112#19151488C2211yescharacteristic
113#19151487C2211yescharacteristic
114#19151485C2211yescharacteristic, complemented
115#19151484C2211yescharacteristic, complemented
116#19151482C2211yescharacteristic, complemented
117#19151482C2211yescharacteristic, complemented
118#19151481C2211yescharacteristic, complemented
119#19151480C2211yescharacteristic, complemented
120#19151477C2211yescharacteristic
121#19151476C2211yescharacteristic
122#19151476C2211yescharacteristic
123#19151476C2211yescharacteristic
124#19151474C2211yescharacteristic
125#19151474C2211yescharacteristic
126#19151474C2211yescharacteristic
127#19151472C2211yescharacteristic
128#19151472C2211yescharacteristic
129#19151472C2211yescharacteristic, complemented
130#19151471C2211yescharacteristic, complemented
131#19151469C2211yescharacteristic
132#19151469C2211yescharacteristic
133#19151469C2211yescharacteristic, complemented
134#19151467C2211yescharacteristic, complemented
135#19151467C2211yescharacteristic, complemented
136#19151462C2211yescharacteristic, complemented
137#19151462C2211yescharacteristic, complemented
138#19151461C2211yescharacteristic, complemented
139#19151460C2211yescharacteristic
140#19151460C2211yescharacteristic
141#19151460C2211yescharacteristic, complemented
142#19151460C2211yescharacteristic, complemented
143#19151457C2211yescharacteristic
144#19151457C2211yescharacteristic
145#19151457C2211yescharacteristic
146#19151457C2211yescharacteristic
147#19151456C2211yescharacteristic
148#19151456C2211yescharacteristic
149#19151455C2211yescharacteristic
150#19151455C2211yescharacteristic
151#19151453C2211yescharacteristic
152#19151453C2211yescharacteristic
153C4×#13083553C2211yescharacteristic, complemented
154C4×#13083553C2211yescharacteristic, complemented
155C4×#13083553C2211yescharacteristic, complemented
156C4×#13083553C2211yescharacteristic, complemented
157C4×C4⋊Dic89C2211yescharacteristic, complemented
158C4×C4⋊Dic89C2211yescharacteristic, complemented
159C22⋊C4×Dic89C2211yescharacteristic
160C22⋊C4×Dic89C2211yescharacteristic
161C4×#13083551C2211yescharacteristic
162C4×#13083551C2211yescharacteristic
163C4×#13083551C2211yescharacteristic
164C4×#13083551C2211yescharacteristic
165C4×#13083551C2211yescharacteristic, complemented
166C4×#13083551C2211yescharacteristic, complemented
167C4×C22⋊Dic89C2211yescharacteristic
168C4×C22⋊Dic89C2211yescharacteristic
169C4×C22⋊Dic89C2211yescharacteristic, complemented
170#19151445C2211yescharacteristic
171#19151445C2211yescharacteristic
172#95×D89C2211yescharacteristic
173#95×D89C2211yescharacteristic
174C2×#123×C89C2211yescharacteristic
175C2×C4×D4×C89C2211yescharacteristic
176C22×C42×C89C2211yescharacteristic, complemented
177#388×C89C2211yescharacteristic
178#388×C89C2211yescharacteristic
179#387×C89C2211yescharacteristic, complemented
180#387×C89C2211yescharacteristic, complemented
181#386×C89C2211yescharacteristic
182#385×C89C2211yescharacteristic, complemented
183#381×C89C2211yescharacteristic, complemented
184C4×C4⋊C4×C89C2211yescharacteristic, complemented
185C4×C4⋊C4×C89C2211yescharacteristic, complemented
186C4×C22⋊C4×C89C2211yescharacteristic
187C4×C22⋊C4×C89C2211yescharacteristic
188C4×C22⋊C4×C89C2211yescharacteristic, complemented
189C24×D89C2311yescharacteristic
190C2×#13083574—24no—
191C2×#13083574—24no—
192C2×#13083574D418yes—
193C22×Dic178C2311yescharacteristic
194C22×D356C2311yescharacteristic
195C22×D356C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201C22×C4×D89—24no—
202C22×C4×D89—24no—
203C22×C4×D89—24no—
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213C22×C4×D89C2311yescharacteristic
214C22×C4×D89C2311yescharacteristic
215#15667997—24no—
216#15667997—24no—
217#15667995—24no—
218#15667994—24no—
219#15667994—24no—
220#15667990—24no—
221#15667989—24no—
222#15667985—24no—
223#15667984—24no—
224#15667982—24no—
225#15667980—24no—
226C4×Dic178—24no—
227C4×Dic178—24no—
228C4×D356—24no—
229C4×D356—24no—
230C4×D356—24no—
231C4×C22⋊D89—24no—
232C4×C22⋊D89—24no—
233C4×C22⋊D89—24no—
234C4×C22⋊D89—24no—
235C4×C22⋊D89—24no—
236C4×C22⋊D89—24no—
237#15667971—24no—
238#15667969—24no—
239#15667969—24no—
240#15667969—24no—
241#15667969—24no—
242C2×C4⋊Dic89C2311yescharacteristic
243C2×C4⋊Dic89C2311yescharacteristic
244C2×C4⋊Dic89C2311yescharacteristic
245C2×C4⋊Dic89C2311yescharacteristic
246C2×C4⋊Dic89C2311yescharacteristic
247C2×C4⋊Dic89C2311yescharacteristic
248C2×C4⋊Dic89C2311yescharacteristic
249C2×#13083553C2311yescharacteristic
250C2×#13083553C2311yescharacteristic
251C2×#13083553C2311yescharacteristic
252C2×#13083553C2311yescharacteristic
253C2×#13083553C2311yescharacteristic
254C2×#13083553C2311yescharacteristic
255C2×#13083553C2311yescharacteristic
256C2×#13083553C2311yescharacteristic
257C2×#13083553C2311yescharacteristic
258C2×#13083553C2311yescharacteristic
259C2×#13083553C2311yescharacteristic
260C2×#13083553C2311yescharacteristic
261C2×#13083553C2311yescharacteristic
262C2×#13083553C2311yescharacteristic
263C2×#13083553C2311yescharacteristic
264C2×#13083553C2311yescharacteristic
265C2×#13083553C2311yescharacteristic
266C2×#13083553C2311yescharacteristic
267C2×C22⋊Dic89C2311yescharacteristic
268C2×C22⋊Dic89C2311yescharacteristic
269C2×C22⋊Dic89C2311yescharacteristic
270C2×C22⋊Dic89C2311yescharacteristic
271C2×C22⋊Dic89C2311yescharacteristic
272C2×C22⋊Dic89C2311yescharacteristic
273C2×C22⋊Dic89C2311yescharacteristic
274C2×C22⋊Dic89C2311yescharacteristic
275C2×C22⋊Dic89C2311yescharacteristic
276C2×C22⋊Dic89C2311yescharacteristic
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×#13083551C2311yescharacteristic
296C2×#13083551C2311yescharacteristic
297C2×#13083551C2311yescharacteristic
298C2×#13083551C2311yescharacteristic
299C2×#13083551C2311yescharacteristic
300C2×#13083551C2311yescharacteristic
301C22⋊C4×D89—24no—
302C22⋊C4×D89—24no—
303C2×C4×Dic89C2311yescharacteristic
304C2×C4×Dic89C2311yescharacteristic
305C2×C4×Dic89C2311yescharacteristic
306C2×C4×Dic89C2311yescharacteristic
307C2×C4×Dic89C2311yescharacteristic
308C2×C4×Dic89C2311yescharacteristic
309C2×C4×Dic89C2311yescharacteristic
310C2×C4×Dic89C2311yescharacteristic
311C2×C4×Dic89C2311yescharacteristic
312C2×C4×Dic89C2311yescharacteristic
313C2×C4×Dic89C2311yescharacteristic
314C42×D89—24no—
315C42×D89—24no—
316C42×D89—24no—
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
340#15667919C2311yescharacteristic
341#15667919C2311yescharacteristic
342#15667919C2311yescharacteristic
343#15667919C2311yescharacteristic
344#15667919C2311yescharacteristic
345#15667919C2311yescharacteristic
346#15667919C2311yescharacteristic
347C22×D4×C89C2311yescharacteristic
348C23×C4×C89C2311yescharacteristic
349C23×C4×C89C2311yescharacteristic
350C23×C4×C89C2311yescharacteristic
351C23×C4×C89C2311yescharacteristic
352#123×C89—24no—
353C4×D4×C89—24no—
354C2×C4⋊C4×C89C2311yescharacteristic
355C2×C4⋊C4×C89C2311yescharacteristic
356C2×C4⋊C4×C89C2311yescharacteristic
357C2×C4⋊C4×C89C2311yescharacteristic
358C2×C4⋊C4×C89C2311yescharacteristic
359C2×C22⋊C4×C89C2311yescharacteristic
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×C42×C89—24no—
368C2×C42×C89C2311yescharacteristic
369C2×C42×C89C2311yescharacteristic
370C2×C42×C89C2311yescharacteristic
371C2×C42×C89C2311yescharacteristic
372C2×C42×C89C2311yescharacteristic
373C2×C42×C89C2311yescharacteristic
374C2×C42×C89C2311yescharacteristic
375#95×C89C2311yescharacteristic
376#95×C89C2311yescharacteristic
377#95×C89C2311yescharacteristic
378#95×C89C2311yescharacteristic
379#95×C89C2311yescharacteristic
380#95×C89C2311yescharacteristic
381#95×C89C2311yescharacteristic
382#95×C89C2311yescharacteristic
383#95×C89C2311yescharacteristic
384#95×C89C2311yescharacteristic
385C23×D89—22no—
386C23×D89—22no—
387C23×D89—22no—
388C23×D89—22no—
389C23×D89—22no—
390C23×D89—41no—
391C23×D89—41no—
392C23×D89C2411yescharacteristic
393C23×D89C2411yescharacteristic
394C23×D89C2411yescharacteristic
395#13083574—232no—
396C2×Dic178—22no—
397C2×Dic178—22no—
398C2×Dic178C2×D414yes—
399C2×D356—22no—
400C2×D356—22no—
401C2×D356—22no—
402C2×D356—22no—
403C2×D356—41no—
404C2×D356C2×D414yes—
405C2×C22⋊D89—22no—
406C2×C22⋊D89—22no—
407C2×C22⋊D89—22no—
408C2×C22⋊D89—22no—
409C2×C22⋊D89—22no—
410C2×C22⋊D89—22no—
411C2×C22⋊D89—22no—
412C2×C22⋊D89—22no—
413C2×C22⋊D89—41no—
414C2×C22⋊D89—41no—
415C2×C22⋊D89C2×D414yes—
416C2×C22⋊D89C2×D414yes—
417C22×Dic89—22no—
418C22×Dic89—22no—
419C22×Dic89—22no—
420C22×Dic89C2411yescharacteristic
421C22×Dic89C2411yescharacteristic
422C22×Dic89C2411yescharacteristic
423C22×Dic89C2411yescharacteristic
424C22×Dic89C2411yescharacteristic
425C22×Dic89C2411yescharacteristic
426C22×Dic89C2411yescharacteristic
427C22×Dic89C2411yescharacteristic
428C22×Dic89C2411yescharacteristic
429C22×Dic89C2411yescharacteristic
430C22×Dic89C2411yescharacteristic
431C22×Dic89C2411yescharacteristic
432C22×Dic89C2411yescharacteristic
433C2×C4×D89—22no—
434C2×C4×D89—22no—
435C2×C4×D89—22no—
436C2×C4×D89—22no—
437C2×C4×D89—22no—
438C2×C4×D89—22no—
439C2×C4×D89—22no—
440C2×C4×D89—22no—
441C2×C4×D89—22no—
442C2×C4×D89—22no—
443C2×C4×D89—22no—
444C2×C4×D89—22no—
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—22no—
452C2×C4×D89—22no—
453C2×C4×D89—22no—
454C2×C4×D89—22no—
455C2×C4×D89—22no—
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—416no—
463C2×C4×D89C2×D414yes—
464C2×C4×D89C2×D414yes—
465C2×C4×D89#4114yes—
466C2×C4×D89#4114yes—
467C4⋊Dic89—22no—
468C4⋊Dic89—22no—
469C4⋊Dic89—22no—
470C4⋊Dic89—22no—
471C4⋊Dic89—41no—
472C4⋊Dic89—41no—
473C4⋊Dic89—41no—
474#13083553—22no—
475#13083553—22no—
476#13083553—22no—
477#13083553—22no—
478#13083553—22no—
479#13083553—22no—
480#13083553—22no—
481#13083553—22no—
482#13083553—22no—
483#13083553—22no—
484#13083553—22no—
485#13083553—22no—
486#13083553—22no—
487#13083553—22no—
488#13083553—41no—
489#13083553—41no—
490#13083553—41no—
491#13083553—41no—
492C22⋊Dic89—22no—
493C22⋊Dic89—22no—
494C22⋊Dic89—22no—
495C22⋊Dic89—22no—
496C22⋊Dic89—22no—
497C22⋊Dic89—22no—
498C22⋊Dic89—22no—
499C22⋊Dic89—22no—
500C22⋊Dic89—41no—
501C22⋊Dic89—41no—
502#13083551—22no—
503#13083551—22no—
504#13083551—22no—
505#13083551—22no—
506#13083551—22no—
507#13083551—22no—
508#13083551—22no—
509#13083551—22no—
510#13083551—22no—
511#13083551—22no—
512#13083551—22no—
513#13083551—22no—
514#13083551—22no—
515#13083551—22no—
516#13083551—22no—
517#13083551—22no—
518#13083551—22no—
519#13083551—22no—
520#13083551—22no—
521#13083551—41no—
522#13083551—41no—
523#13083551—41no—
524#13083551—41no—
525#13083551#4114yescomplemented
526C4×Dic89—22no—
527C4×Dic89—22no—
528C4×Dic89—22no—
529C4×Dic89—22no—
530C4×Dic89—22no—
531C4×Dic89—22no—
532C4×Dic89—22no—
533C4×Dic89—22no—
534C4×Dic89—22no—
535C4×Dic89—22no—
536C4×Dic89—22no—
537C24×C89C2411yescharacteristic
538C24×C89C2411yescharacteristic
539C2×D4×C89—22no—
540C2×D4×C89—22no—
541C2×D4×C89—41no—
542C22×C4×C89—22no—
543C22×C4×C89—22no—
544C22×C4×C89—22no—
545C22×C4×C89—22no—
546C22×C4×C89—22no—
547C22×C4×C89—22no—
548C22×C4×C89—22no—
549C22×C4×C89—22no—
550C22×C4×C89—22no—
551C22×C4×C89—41no—
552C22×C4×C89—41no—
553C22×C4×C89C2×D414yes—
554C22×C4×C89C2411yescharacteristic
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—22no—
568C4⋊C4×C89—22no—
569C4⋊C4×C89—22no—
570C4⋊C4×C89—22no—
571C4⋊C4×C89—41no—
572C22⋊C4×C89—22no—
573C22⋊C4×C89—22no—
574C22⋊C4×C89—22no—
575C22⋊C4×C89—22no—
576C22⋊C4×C89—22no—
577C22⋊C4×C89—41no—
578C22⋊C4×C89—41no—
579C22⋊C4×C89#4114yescomplemented
580C42×C89—22no—
581C42×C89—22no—
582C42×C89—22no—
583C42×C89—22no—
584C42×C89—22no—
585C42×C89—22no—
586C42×C89—22no—
587C23×C89—21no—
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×C89C22×D412yes—
600C23×C89C2×#4112yes—
601C23×C89C2511yescharacteristic
602C22×D89—21no—
603C22×D89—21no—
604C22×D89—21no—
605C22×D89—21no—
606C22×D89—28no—
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—44no—
620C22×D89—44no—
621C22×D89—44no—
622C22×D89—44no—
623C22×D89—44no—
624C22×D89—44no—
625C22×D89C22×D412yes—
626C22×D89C22×D412yes—
627C22×D89C2×#4112yes—
628C22×D89C2×#4112yes—
629C22×D89C2×#4112yes—
630D4×C89—44no—
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—28no—
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—44no—
665C2×C4×C89—44no—
666C2×C4×C89—44no—
667C2×C4×C89C22×D412yes—
668C2×C4×C89C22×D412yes—
669C2×C4×C89C2×#4112yes—
670C2×C4×C89C2×#4112yes—
671C2×C4×C89C2×#4112yes—
672C2×C4×C89C2×#4112yes—
673C2×C4×C89C2×#4112yes—
674C22⋊D89—28no—
675C22⋊D89—28no—
676C22⋊D89—44no—
677C22⋊D89—44no—
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×Dic89—21no—
709C2×Dic89—21no—
710C2×Dic89—21no—
711C2×Dic89—21no—
712C2×Dic89—44no—
713C2×Dic89C22×D412yes—
714C2×Dic89C22×D412yes—
715C2×Dic89C2×#4112yes—
716C2×Dic89C2×#4112yes—
717C2×Dic89C2×#4112yes—
718D356—28no—
719D356—44no—
720C4×D89—28no—
721C4×D89—44no—
722C4×D89—44no—
723C4×D89—44no—
724C4×D89—44no—
725C4×D89—44no—
726C4×D89—44no—
727C4×D89—44no—
728C4×D89—44no—
729C4×D89—44no—
730C4×D89#123116yescomplemented
731Dic178—28no—
732C22×C89—22no—
733C22×C89—22no—
734C22×C89—22no—
735C22×C89—22no—
736C22×C89—22no—
737C22×C89—22no—
738C22×C89—41no—
739C22×C89—41no—
740C22×C89—41no—
741C22×C89—41no—
742C22×C89—41no—
743C22×C89—41no—
744C22×C89—41no—
745C22×C89—41no—
746C22×C89C23×D411yescharacteristic
747C22×C89C22×#4111yescharacteristic
748C22×C89C22×#4111yescharacteristic
749C22×C89C22×#4111yescharacteristic
750C22×C89C22×#4111yescharacteristic
751C22×C89#58511yescharacteristic
752C22×C89#58511yescharacteristic
753C2×D89—22no—
754C2×D89—22no—
755C2×D89—22no—
756C2×D89—22no—
757C2×D89—22no—
758C2×D89—22no—
759C2×D89—22no—
760C2×D89—22no—
761C2×D89—22no—
762C2×D89—22no—
763C2×D89—22no—
764C2×D89—22no—
765C2×D89—416no—
766C2×D89—41no—
767C2×D89—41no—
768C2×D89—41no—
769C2×D89—41no—
770C2×D89—41no—
771C2×D89—41no—
772C2×D89—41no—
773C2×D89—41no—
774C2×D89C2×#12314yes—
775C4×C89—22no—
776C4×C89—22no—
777C4×C89—22no—
778C4×C89—22no—
779C4×C89—41no—
780C4×C89—41no—
781C4×C89—41no—
782C4×C89—41no—
783C4×C89—41no—
784C4×C89—41no—
785C4×C89—41no—
786C4×C89—41no—
787C4×C89C2×#12314yes—
788Dic89—22no—
789Dic89—22no—
790Dic89—41no—
791Dic89—41no—
792Dic89—41no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797Dic89—41no—
798Dic89—41no—
799Dic89—41no—
800Dic89C2×#12314yes—
801#34742—891nomaximal, Sylow
802C2×C89—42no—
803C2×C89—42no—
804C2×C89C22×#12311yescharacteristic
805C2×C89#344411yescharacteristic
806C2×C89#345511yescharacteristic
807C2×C89D4×#4111yescharacteristic
808C2×C89D4×#4111yescharacteristic
809C2×C89#347511yescharacteristic
810C2×C89#347511yescharacteristic
811D89—24no—
812D89—42no—
813D89—42no—
814C2×#525—891no—
815C2×C4×#41—891no—
816#2423—891no—
817#2423—891no—
818#2422—891no—
819#2422—891no—
820#2421—891no—
821#2421—891no—
822#2420—891no—
823#2420—891no—
824#2419—891no—
825#2419—891no—
826#2419—891no—
827#2419—891no—
828#2418—891no—
829#2418—891no—
830#2418—891no—
831#2418—891no—
832#2395—891no—
833#2395—891no—
834#2395—891no—
835#2395—891no—
836C4×#123—891no—
837C4×#123—891no—
838C4×#123—891no—
839C4×#123D8911yescharacteristic, complemented
840#2297—891no—
841#2296—891no—
842#2285—891no—
843#2280—891no—
844C2×C4×C22⋊C4—891no—
845C89#3474211yescharacteristic, complemented, Sylow
846C22×#41—891no—
847C24×C4—891no—
848#525—1788no—
849C2×#123—891no—
850C2×#123—891no—
851C2×#123—891no—
852C2×#123—891no—
853C2×#123—891no—
854C2×#123C2×D8911yescharacteristic
855C2×C22⋊Q8—891no—
856C2×C22⋊Q8—891no—
857C2×#121—891no—
858C2×#121—891no—
859C2×#120—891no—
860C2×#120—891no—
861C4×#41—1788no—
862C2×C4×Q8—891no—
863C2×C4×Q8—891no—
864C2×C4×D4—891no—
865C2×C4×D4—891no—
866C2×C4×D4—891no—
867C2×C4×D4—891no—
868C2×C4×D4—891no—
869C2×C4×D4—891no—
870C2×C4×D4—891no—
871C2×C4×D4—891no—
872C2×C4×D4—891no—
873C2×C4×D4C2×D8911yescharacteristic
874C2×#117—891no—
875C2×#117—891no—
876C2×#117—891no—
877C2×#117—891no—
878C2×#117—891no—
879C22×C22⋊C4—891no—
880C22×C22⋊C4—891no—
881C22×C42—891no—
882C22×C42—891no—
883C22×C42—891no—
884C22×C42C2×D8911yescharacteristic, complemented
885#400—891no—
886#400—891no—
887#400—891no—
888#400—891no—
889#399—891no—
890#399—891no—
891#399—891no—
892#399—891no—
893#398—891no—
894#398—891no—
895#398—891no—
896#398—891no—
897#397—891no—
898#397—891no—
899#397—891no—
900#397—891no—
901#397—891no—
902#397—891no—
903#397—891no—
904#397—891no—
905#397—891no—
906#397—891no—
907#397—891no—
908#397—891no—
909#394—891no—
910#394—891no—
911#394—891no—
912#394—891no—
913#394—891no—
914#394—891no—
915#394—891no—
916#394—891no—
917#391—891no—
918#391—891no—
919#390—891no—
920#390—891no—
921#389—891no—
922#389—891no—
923#389—891no—
924#389—891no—
925#388—891no—
926#388—891no—
927#388—891no—
928#388—891no—
929#388—891no—
930#388—891no—
931#388C2×D8911yescharacteristic
932#388C2×D8911yescharacteristic
933#387—891no—
934#387—891no—
935#387—891no—
936#387—891no—
937#387—891no—
938#387—891no—
939#387C2×D8911yescharacteristic, complemented
940#387C2×D8911yescharacteristic, complemented
941#386—891no—
942#386—891no—
943#386—891no—
944#386—891no—
945#386—891no—
946#386—891no—
947#386—891no—
948#386C2×D8911yescharacteristic
949#385—891no—
950#385—891no—
951#385—891no—
952#385—891no—
953#385—891no—
954#385—891no—
955#385—891no—
956#385C2×D8911yescharacteristic, complemented
957#384—891no—
958#384—891no—
959#382—891no—
960#382—891no—
961#381—891no—
962#381—891no—
963#381—891no—
964#381—891no—
965#381—891no—
966#381C2×D8911yescharacteristic, complemented
967#380—891no—
968#380—891no—
969#380—891no—
970#380—891no—
971#380—891no—
972#380—891no—
973#380—891no—
974#380—891no—
975#379—891no—
976#379—891no—
977C4×C4⋊C4—891no—
978C4×C4⋊C4—891no—
979C4×C4⋊C4—891no—
980C4×C4⋊C4—891no—
981C4×C4⋊C4—891no—
982C4×C4⋊C4—891no—
983C4×C4⋊C4C2×D8911yescharacteristic, complemented
984C4×C4⋊C4C2×D8911yescharacteristic, complemented
985C4×C22⋊C4—891no—
986C4×C22⋊C4—891no—
987C4×C22⋊C4—891no—
988C4×C22⋊C4—891no—
989C4×C22⋊C4—891no—
990C4×C22⋊C4—891no—
991C4×C22⋊C4—891no—
992C4×C22⋊C4—891no—
993C4×C22⋊C4—891no—
994C4×C22⋊C4—891no—
995C4×C22⋊C4—891no—
996C4×C22⋊C4—891no—
997C4×C22⋊C4—891no—
998C4×C22⋊C4C2×D8911yescharacteristic
999C4×C22⋊C4C2×D8911yescharacteristic
1000C4×C22⋊C4C2×D8911yescharacteristic, complemented
1001C2×#95—891no—
1002C2×#95—891no—
1003C25—891no—
1004C2×#41—898no—
1005C2×#41—1784no—
1006C2×#41—1784no—
1007C22×Q8—891no—
1008C22×D4—891no—
1009C22×D4—891no—
1010C22×D4—891no—
1011C22×D4—891no—
1012C22×D4—891no—
1013C22×D4—891no—
1014C22×D4C22×D8911yescharacteristic
1015C23×C4—891no—
1016C23×C4—891no—
1017C23×C4—891no—
1018C23×C4—891no—
1019C23×C4—891no—
1020C23×C4—891no—
1021C23×C4—891no—
1022C23×C4—891no—
1023C23×C4—891no—
1024C23×C4—891no—
1025C23×C4—891no—
1026C23×C4—891no—
1027C23×C4—1784no—
1028C23×C4—1784no—
1029C23×C4—1784no—
1030C23×C4C22×D8911yescharacteristic
1031C23×C4C22×D8911yescharacteristic
1032C23×C4C22×D8911yescharacteristic
1033C23×C4C22×D8911yescharacteristic
1034#123—24no—
1035#123—1784no—
1036#123—1784no—
1037#123—1784no—
1038#123—1784no—
1039#123—1784no—
1040C22⋊Q8—1784no—
1041C22⋊Q8—1784no—
1042#121—1784no—
1043#121—1784no—
1044#120—1784no—
1045#120—1784no—
1046C4×Q8—1784no—
1047C4×Q8—1784no—
1048C4×D4—24no—
1049C4×D4—1784no—
1050C4×D4—1784no—
1051C4×D4—1784no—
1052C4×D4—1784no—
1053C4×D4—1784no—
1054C4×D4—1784no—
1055C4×D4—1784no—
1056C4×D4—1784no—
1057C4×D4—1784no—
1058#117—1784no—
1059#117—1784no—
1060#117—1784no—
1061#117—1784no—
1062#117—1784no—
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—891no—
1070C2×C4⋊C4—891no—
1071C2×C4⋊C4—891no—
1072C2×C4⋊C4—891no—
1073C2×C4⋊C4—891no—
1074C2×C4⋊C4—891no—
1075C2×C4⋊C4—891no—
1076C2×C4⋊C4—891no—
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⋊C4C22×D8911yescharacteristic
1089C2×C4⋊C4C22×D8911yescharacteristic
1090C2×C4⋊C4C22×D8911yescharacteristic
1091C2×C4⋊C4C22×D8911yescharacteristic
1092C2×C4⋊C4C22×D8911yescharacteristic
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⋊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—1784no—
1128C2×C22⋊C4—1784no—
1129C2×C22⋊C4C22×D8911yescharacteristic
1130C2×C22⋊C4C22×D8911yescharacteristic
1131C2×C22⋊C4C22×D8911yescharacteristic
1132C2×C22⋊C4C22×D8911yescharacteristic
1133C2×C22⋊C4C22×D8911yescharacteristic
1134C2×C22⋊C4C22×D8911yescharacteristic
1135C2×C22⋊C4C22×D8911yescharacteristic
1136C2×C22⋊C4C22×D8911yescharacteristic
1137C2×C42—24no—
1138C2×C42—891no—
1139C2×C42—891no—
1140C2×C42—891no—
1141C2×C42—891no—
1142C2×C42—891no—
1143C2×C42—891no—
1144C2×C42—891no—
1145C2×C42—891no—
1146C2×C42—891no—
1147C2×C42—891no—
1148C2×C42—891no—
1149C2×C42—1784no—
1150C2×C42—1784no—
1151C2×C42—1784no—
1152C2×C42C22×D8911yescharacteristic
1153C2×C42C22×D8911yescharacteristic
1154C2×C42C22×D8911yescharacteristic
1155C2×C42C22×D8911yescharacteristic
1156C2×C42C22×D8911yescharacteristic
1157C2×C42C22×D8911yescharacteristic
1158C2×C42C22×D8911yescharacteristic
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#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#95C22×D8911yescharacteristic
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
1199C24—891no—
1200C24—891no—
1201C24—891no—
1202C24—3561no—
1203C24—3561no—
1204C24—1782no—
1205C24—1782no—
1206C24—1782no—
1207C24—1782no—
1208C24—1782no—
1209C24C23×D8911yescharacteristic
1210C24C23×D8911yescharacteristic
1211#41—17832no—
1212C2×Q8—894no—
1213C2×Q8—1782no—
1214C2×Q8—1782no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—41no—
1218C2×D4—894no—
1219C2×D4—894no—
1220C2×D4—894no—
1221C2×D4—3561no—
1222C2×D4—3561no—
1223C2×D4—3561no—
1224C2×D4—1782no—
1225C2×D4—1782no—
1226C2×D4—1782no—
1227C2×D4—1782no—
1228C2×D4—1782no—
1229C2×D4—1782no—
1230C2×D4—1782no—
1231C2×D4—1782no—
1232C2×D4—1782no—
1233C2×D4—1782no—
1234C2×D4—1782no—
1235C2×D4—1782no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—22no—
1243C22×C4—22no—
1244C22×C4—22no—
1245C22×C4—41no—
1246C22×C4—41no—
1247C22×C4—891no—
1248C22×C4—894no—
1249C22×C4—894no—
1250C22×C4—894no—
1251C22×C4—891no—
1252C22×C4—891no—
1253C22×C4—894no—
1254C22×C4—891no—
1255C22×C4—891no—
1256C22×C4—891no—
1257C22×C4—891no—
1258C22×C4—891no—
1259C22×C4—891no—
1260C22×C4—891no—
1261C22×C4—891no—
1262C22×C4—891no—
1263C22×C4—891no—
1264C22×C4—3561no—
1265C22×C4—3561no—
1266C22×C4—3561no—
1267C22×C4—3561no—
1268C22×C4—3561no—
1269C22×C4—3561no—
1270C22×C4—35616no—
1271C22×C4—1782no—
1272C22×C4—1782no—
1273C22×C4—1782no—
1274C22×C4—1782no—
1275C22×C4—1782no—
1276C22×C4—1782no—
1277C22×C4—1782no—
1278C22×C4—1782no—
1279C22×C4—1782no—
1280C22×C4—1782no—
1281C22×C4—1782no—
1282C22×C4—1782no—
1283C22×C4—1782no—
1284C22×C4—1782no—
1285C22×C4—1782no—
1286C22×C4—1782no—
1287C22×C4—1782no—
1288C22×C4—1782no—
1289C22×C4—1782no—
1290C22×C4—1782no—
1291C22×C4—1782no—
1292C22×C4—1782no—
1293C22×C4—1782no—
1294C22×C4—1782no—
1295C22×C4—1782no—
1296C22×C4—1782no—
1297C22×C4D4×D8914yes—
1298C22×C4C23×D8911yescharacteristic
1299C22×C4C23×D8911yescharacteristic
1300C22×C4C23×D8911yescharacteristic
1301C22×C4C23×D8911yescharacteristic
1302C22×C4C23×D8911yescharacteristic
1303C22×C4C23×D8911yescharacteristic
1304C22×C4C23×D8911yescharacteristic
1305C22×C4C23×D8911yescharacteristic
1306C22×C4C23×D8911yescharacteristic
1307C22×C4C23×D8911yescharacteristic
1308C22×C4C23×D8911yescharacteristic
1309C22×C4C23×D8911yescharacteristic
1310C22×C4C23×D8911yescharacteristic
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—41no—
1316C4⋊C4—3561no—
1317C4⋊C4—3561no—
1318C4⋊C4—3561no—
1319C4⋊C4—3561no—
1320C4⋊C4—3561no—
1321C4⋊C4—3561no—
1322C4⋊C4—3561no—
1323C4⋊C4—1782no—
1324C4⋊C4—1782no—
1325C4⋊C4—1782no—
1326C4⋊C4—1782no—
1327C4⋊C4—1782no—
1328C4⋊C4—1782no—
1329C4⋊C4—1782no—
1330C4⋊C4—1782no—
1331C4⋊C4—1782no—
1332C4⋊C4—1782no—
1333C4⋊C4—1782no—
1334C4⋊C4—1782no—
1335C4⋊C4—1782no—
1336C4⋊C4—1782no—
1337C4⋊C4—1782no—
1338C4⋊C4—1782no—
1339C4⋊C4—1782no—
1340C4⋊C4—1782no—
1341C22⋊C4—22no—
1342C22⋊C4—22no—
1343C22⋊C4—22no—
1344C22⋊C4—22no—
1345C22⋊C4—22no—
1346C22⋊C4—41no—
1347C22⋊C4—41no—
1348C22⋊C4—894no—
1349C22⋊C4—3561no—
1350C22⋊C4—3561no—
1351C22⋊C4—3561no—
1352C22⋊C4—3561no—
1353C22⋊C4—3561no—
1354C22⋊C4—3561no—
1355C22⋊C4—1782no—
1356C22⋊C4—1782no—
1357C22⋊C4—1782no—
1358C22⋊C4—1782no—
1359C22⋊C4—1782no—
1360C22⋊C4—1782no—
1361C22⋊C4—1782no—
1362C22⋊C4—1782no—
1363C22⋊C4—1782no—
1364C22⋊C4—1782no—
1365C22⋊C4—1782no—
1366C22⋊C4—1782no—
1367C22⋊C4—1782no—
1368C22⋊C4—1782no—
1369C22⋊C4—1782no—
1370C22⋊C4—1782no—
1371C22⋊C4—1782no—
1372C22⋊C4—1782no—
1373C22⋊C4—1782no—
1374C22⋊C4—1782no—
1375C22⋊C4—1782no—
1376C22⋊C4—1782no—
1377C22⋊C4—1782no—
1378C22⋊C4—1782no—
1379C22⋊C4—1782no—
1380C22⋊C4—1782no—
1381C22⋊C4—1782no—
1382C22⋊C4#1308357414yescomplemented
1383C42—22no—
1384C42—22no—
1385C42—22no—
1386C42—22no—
1387C42—22no—
1388C42—22no—
1389C42—22no—
1390C42—1782no—
1391C42—1782no—
1392C42—1782no—
1393C42—1782no—
1394C42—1782no—
1395C42—1782no—
1396C42—1782no—
1397C42—1782no—
1398C42—1782no—
1399C42—1782no—
1400C42—1782no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—892no—
1414C23—892no—
1415C23—892no—
1416C23—892no—
1417C23—892no—
1418C23—3564no—
1419C23—3564no—
1420C23—3564no—
1421C23—3564no—
1422C23—3564no—
1423C23—3564no—
1424C23—1788no—
1425C23—1781no—
1426C23—1781no—
1427C23—1781no—
1428C23—1781no—
1429C23—1781no—
1430C23—1781no—
1431C23—1781no—
1432C23—1781no—
1433C23—1781no—
1434C23—1781no—
1435C23—1781no—
1436C23—1781no—
1437C23—1781no—
1438C23—1781no—
1439C23—1781no—
1440C23—1781no—
1441C23C2×D4×D8912yes—
1442C23C2×#1308357412yes—
1443C23C24×D8911yescharacteristic
1444Q8—1788no—
1445D4—44no—
1446D4—3564no—
1447D4—3564no—
1448D4—3564no—
1449D4—1788no—
1450D4—1788no—
1451D4—1788no—
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—28no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
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—44no—
1486C2×C4—44no—
1487C2×C4—44no—
1488C2×C4—892no—
1489C2×C4—892no—
1490C2×C4—892no—
1491C2×C4—8916no—
1492C2×C4—892no—
1493C2×C4—892no—
1494C2×C4—3564no—
1495C2×C4—3564no—
1496C2×C4—3564no—
1497C2×C4—3564no—
1498C2×C4—3564no—
1499C2×C4—3564no—
1500C2×C4—3564no—
1501C2×C4—3564no—
1502C2×C4—3564no—
1503C2×C4—3564no—
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—1781no—
1517C2×C4—1781no—
1518C2×C4—1781no—
1519C2×C4—1781no—
1520C2×C4—1781no—
1521C2×C4—1781no—
1522C2×C4—1781no—
1523C2×C4—1781no—
1524C2×C4—1781no—
1525C2×C4—1781no—
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—1788no—
1539C2×C4C2×D4×D8912yes—
1540C2×C4C2×D4×D8912yes—
1541C2×C4#41×D8912yes—
1542C2×C4#41×D8912yes—
1543C2×C4#41×D8912yes—
1544C2×C4C2×#1308357412yes—
1545C2×C4C2×#1308357412yes—
1546C22—22no—
1547C22—22no—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—41no—
1553C22—41no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—894no—
1561C22—35616no—
1562C22—3561no—
1563C22—3561no—
1564C22—3561no—
1565C22—3561no—
1566C22—3561no—
1567C22—3561no—
1568C22—3561no—
1569C22—3561no—
1570C22—1782no—
1571C22—1782no—
1572C22—1782no—
1573C22—1782no—
1574C22—1782no—
1575C22—1782no—
1576C22—1782no—
1577C22—1782no—
1578C22—1782no—
1579C22—1782no—
1580C22—1782no—
1581C22—1782no—
1582C22C22×D4×D8911yescharacteristic
1583C22C2×#41×D8911yescharacteristic
1584C22C2×#41×D8911yescharacteristic
1585C22C2×#41×D8911yescharacteristic
1586C22C22×#1308357411yescharacteristic
1587C22#1915243411yescharacteristic
1588C22#1915243411yescharacteristic
1589C4—22no—
1590C4—22no—
1591C4—22no—
1592C4—22no—
1593C4—41no—
1594C4—41no—
1595C4—41no—
1596C4—41no—
1597C4—41no—
1598C4—41no—
1599C4—41no—
1600C4—41no—
1601C4—894no—
1602C4—3561no—
1603C4—3561no—
1604C4—3561no—
1605C4—3561no—
1606C4—3561no—
1607C4—3561no—
1608C4—3561no—
1609C4—3561no—
1610C4—3561no—
1611C4—3561no—
1612C4—1782no—
1613C4—1782no—
1614C4#123×D8914yes—
1615C2—42no—
1616C2—42no—
1617C2—3562no—
1618C2—3562no—
1619C2—1784no—
1620C2C2×#123×D8911yescharacteristic
1621C2#2603354511yescharacteristic
1622C2#2603363511yescharacteristic
1623C2#2603373511yescharacteristic
1624C2D4×#1308357411yescharacteristic
1625C2#2603380811yescharacteristic
1626C2#2603381411yescharacteristic
subgroupG/H
centerC22×C4C23×D89
commutator, socle, cosocleC23×C89C25
FrattiniC23C24×D89
FittingC4×#123×C89C2
prime radicalC2×#19152107C2
hypercenterC4×#123D89
hypocenterC89#34742
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C22×C4 ◁ C4×#123

Complements

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

NH ≅ G/Ntype
2. C2×C4×#13083574C2semidirect
3. #26023776C2semidirect
4. #26023774C2semidirect
5. #26023765C2semidirect
6. #26023763C2semidirect
7. #26023754C2semidirect
8. #26023752C2semidirect
9. #26023743C2semidirect
10. #26023741C2semidirect
11. #26023736C2semidirect
12. #26023734C2semidirect
13. #26023728C2semidirect
14. #26023726C2semidirect
15. #26023721C2semidirect
16. #26023719C2semidirect
17. #26023713C2semidirect
18. #26023711C2semidirect
19. #26023515C2semidirect
20. #26023513C2semidirect
21. #26023512C2semidirect
22. #26023511C2semidirect
23. C4×#15667997C2semidirect
24. C4×#15667995C2semidirect
25. C4×#15667994C2semidirect
26. #26022738C2semidirect
27. #26022732C2semidirect
28. #26022656C2semidirect
29. #26022633C2semidirect
30. C4×C22⋊C4×D89C2semidirect
31. C4×#123×C89C2semidirect
47. C2×C4×Dic178C22semidirect
48. C2×C4×Dic178C22semidirect
56. C2×C4×C22⋊D89C22semidirect
57. C2×C4×C22⋊D89C22semidirect
58. C2×#15667971C22semidirect
62. C2×#15667969C22semidirect
67. C2×C42×D89C22semidirect
68. #19151540C22semidirect
69. #19151539C22semidirect
70. #19151538C22semidirect
71. #19151537C22semidirect
76. #19151532C22semidirect
77. #19151531C22semidirect
78. #19151530C22semidirect
79. #19151528C22semidirect
81. #19151527C22semidirect
82. #19151527C22semidirect
84. #19151526C22semidirect
85. #19151526C22semidirect
87. #19151525C22semidirect
88. #19151524C22semidirect
90. #19151523C22semidirect
91. #19151523C22semidirect
100. #19151502C22semidirect
101. #19151502C22semidirect
102. #19151498C22semidirect
103. #19151498C22semidirect
104. #19151495C22semidirect
105. #19151495C22semidirect
106. #19151493C22semidirect
107. #19151493C22semidirect
114. #19151485C22semidirect
115. #19151484C22semidirect
116. #19151482C22semidirect
117. #19151482C22semidirect
118. #19151481C22semidirect
119. #19151480C22semidirect
129. #19151472C22semidirect
130. #19151471C22semidirect
133. #19151469C22semidirect
134. #19151467C22semidirect
135. #19151467C22semidirect
136. #19151462C22semidirect
137. #19151462C22semidirect
138. #19151461C22semidirect
141. #19151460C22semidirect
142. #19151460C22semidirect
153. C4×#13083553C22semidirect
154. C4×#13083553C22semidirect
155. C4×#13083553C22semidirect
156. C4×#13083553C22semidirect
157. C4×C4⋊Dic89C22semidirect
158. C4×C4⋊Dic89C22semidirect
165. C4×#13083551C22semidirect
166. C4×#13083551C22semidirect
169. C4×C22⋊Dic89C22semidirect
176. C22×C42×C89C22semidirect
179. #387×C89C22semidirect
180. #387×C89C22semidirect
182. #385×C89C22semidirect
183. #381×C89C22semidirect
184. C4×C4⋊C4×C89C22semidirect
185. C4×C4⋊C4×C89C22semidirect
188. C4×C22⋊C4×C89C22semidirect
525. #13083551#41semidirect
579. C22⋊C4×C89#41semidirect
730. C4×D89#123semidirect
839. C4×#123D89semidirect
845. C89#34742semidirect
884. C22×C42C2×D89semidirect
939. #387C2×D89semidirect
940. #387C2×D89semidirect
956. #385C2×D89semidirect
966. #381C2×D89semidirect
983. C4×C4⋊C4C2×D89semidirect
984. C4×C4⋊C4C2×D89semidirect
1000. C4×C22⋊C4C2×D89semidirect
1382. C22⋊C4#13083574semidirect

Maximal subgroups

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

subgroupindex
C2×#191521072
C2×C4×#130835742
#260237762
#260237742
#260237652
#260237632
#260237542
#260237522
#260237432
#260237412
#260237362
#260237342
#260237282
#260237262
#260237212
#260237192
#260237132
#260237112
#260235152
#260235132
#260235122
#260235112
C4×#156679972
C4×#156679952
C4×#156679942
#260227382
#260227322
#260226562
#260226332
C4×C22⋊C4×D892
C4×#123×C892
#3474289