Finite Group Databasebeta

← #36761463

Subgroups — #36761463

Order 22784.

2432 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×#19152192C211yesmaximal, characteristic, complemented
2C2×#19152108C211yesmaximal, characteristic, complemented
3#26028543C211yesmaximal, characteristic, complemented
4#26028540C211yesmaximal, characteristic, complemented
5#26026957C211yesmaximal, characteristic, complemented
6#26026934C211yesmaximal, characteristic, complemented
7#26026910C211yesmaximal, characteristic, complemented
8#26026868C211yesmaximal, characteristic, complemented
9#26026825C211yesmaximal, characteristic, complemented
10#26026816C211yesmaximal, characteristic, complemented
11#26026638C211yesmaximal, characteristic, complemented
12#26026625C211yesmaximal, characteristic, complemented
13#26026619C211yesmaximal, characteristic, complemented
14#26026603C211yesmaximal, characteristic, complemented
15#26026598C211yesmaximal, characteristic, complemented
16#26026590C211yesmaximal, characteristic, complemented
17#26026590C211yesmaximal, characteristic, complemented
18#26026570C211yesmaximal, characteristic, complemented
19#26026570C211yesmaximal, characteristic, complemented
20#26026174C211yesmaximal, characteristic, complemented
21#26026096C211yesmaximal, characteristic, complemented
22#26025953C211yesmaximal, characteristic, complemented
23#26025872C211yesmaximal, characteristic, complemented
24#26025856C211yesmaximal, characteristic, complemented
25#26025833C211yesmaximal, characteristic, complemented
26#26025596C211yesmaximal, characteristic, complemented
27#26025454C211yesmaximal, characteristic, complemented
28#26023590C211yesmaximal, characteristic, complemented
29#26023586C211yesmaximal, characteristic, complemented
30#26022893C211yesmaximal, characteristic, complemented
31C89×#2703C211yesmaximal, characteristic, complemented
32C22×#13083573C2211yescharacteristic
33C23×C4×D89C2211yescharacteristic
34#19152192—28no—
35C2×#15668007C2211yescharacteristic
36C2×#15668005C2211yescharacteristic, complemented
37C2×#15668003C2211yescharacteristic, complemented
38C2×#15668002C2211yescharacteristic, complemented
39#19152108—28no—
40C2×#15667996C2211yescharacteristic
41C2×#15667996C2211yescharacteristic
42C2×#15667995C2211yescharacteristic
43C2×#15667994C2211yescharacteristic
44C2×#15667994C2211yescharacteristic
45C2×#15667994C2211yescharacteristic
46C2×#15667994C2211yescharacteristic
47C2×#15667993C2211yescharacteristic, complemented
48C2×#15667992C2211yescharacteristic
49C2×#15667992C2211yescharacteristic
50C2×#15667992C2211yescharacteristic
51C2×#15667991C2211yescharacteristic
52C2×#15667991C2211yescharacteristic
53C2×#15667989C2211yescharacteristic, complemented
54C2×#15667989C2211yescharacteristic, complemented
55C2×#15667989C2211yescharacteristic, complemented
56C2×#15667984C2211yescharacteristic
57C2×#15667984C2211yescharacteristic
58C2×#15667983C2211yescharacteristic
59C2×#15667980C2211yescharacteristic
60C2×#15667980C2211yescharacteristic
61C2×#15667980C2211yescharacteristic
62C2×D4×Dic89C2211yescharacteristic
63C2×D4×Dic89C2211yescharacteristic
64C2×D4×Dic89C2211yescharacteristic, complemented
65C2×#15667972C2211yescharacteristic
66C2×#15667972C2211yescharacteristic
67C2×#15667970C2211yescharacteristic
68C22×C4⋊Dic89C2211yescharacteristic, complemented
69#19151533C2211yescharacteristic
70#19151532C2211yescharacteristic, complemented
71#19151530C2211yescharacteristic, complemented
72#19151530C2211yescharacteristic, complemented
73#19151530C2211yescharacteristic, complemented
74#19151529C2211yescharacteristic, complemented
75#19151528C2211yescharacteristic, complemented
76#19151528C2211yescharacteristic, complemented
77#19151527C2211yescharacteristic
78#19151525C2211yescharacteristic
79#19151525C2211yescharacteristic
80#19151525C2211yescharacteristic
81#19151523C2211yescharacteristic, complemented
82#19151523C2211yescharacteristic, complemented
83#19151522C2211yescharacteristic
84#19151521C2211yescharacteristic
85#19151521C2211yescharacteristic
86#19151521C2211yescharacteristic
87#19151521C2211yescharacteristic
88#19151521C2211yescharacteristic, complemented
89#19151521C2211yescharacteristic, complemented
90#19151521C2211yescharacteristic, complemented
91#19151521C2211yescharacteristic, complemented
92#19151521C2211yescharacteristic, complemented
93#19151519C2211yescharacteristic, complemented
94#19151519C2211yescharacteristic, complemented
95#19151519C2211yescharacteristic, complemented
96#19151514C2211yescharacteristic
97#19151514C2211yescharacteristic
98#19151514C2211yescharacteristic
99#19151514C2211yescharacteristic
100#19151513C2211yescharacteristic
101#19151513C2211yescharacteristic
102#19151513C2211yescharacteristic
103#19151513C2211yescharacteristic
104#19151512C2211yescharacteristic
105#19151512C2211yescharacteristic
106#19151512C2211yescharacteristic, complemented
107#19151512C2211yescharacteristic, complemented
108#19151510C2211yescharacteristic, complemented
109#19151506C2211yescharacteristic
110#19151506C2211yescharacteristic
111#19151502C2211yescharacteristic, complemented
112#19151501C2211yescharacteristic
113#19151501C2211yescharacteristic
114#19151501C2211yescharacteristic, complemented
115#19151498C2211yescharacteristic
116#19151498C2211yescharacteristic
117#19151498C2211yescharacteristic
118#19151498C2211yescharacteristic
119#19151495C2211yescharacteristic, complemented
120#19151495C2211yescharacteristic, complemented
121#19151495C2211yescharacteristic, complemented
122#19151493C2211yescharacteristic, complemented
123#19151493C2211yescharacteristic, complemented
124#19151492C2211yescharacteristic
125#19151492C2211yescharacteristic, complemented
126#19151491C2211yescharacteristic, complemented
127#19151489C2211yescharacteristic
128#19151489C2211yescharacteristic
129#19151487C2211yescharacteristic
130#19151487C2211yescharacteristic
131#19151487C2211yescharacteristic
132#19151486C2211yescharacteristic
133#19151486C2211yescharacteristic, complemented
134#19151485C2211yescharacteristic, complemented
135#19151485C2211yescharacteristic, complemented
136#19151485C2211yescharacteristic, complemented
137#19151485C2211yescharacteristic, complemented
138#19151478C2211yescharacteristic
139#19151478C2211yescharacteristic
140#19151478C2211yescharacteristic
141#19151478C2211yescharacteristic, complemented
142#19151477C2211yescharacteristic
143#19151474C2211yescharacteristic
144#19151474C2211yescharacteristic
145#19151473C2211yescharacteristic
146#19151473C2211yescharacteristic
147#19151473C2211yescharacteristic
148#19151473C2211yescharacteristic, complemented
149#19151473C2211yescharacteristic, complemented
150#19151473C2211yescharacteristic, complemented
151#19151473C2211yescharacteristic, complemented
152#19151473C2211yescharacteristic, complemented
153#19151472C2211yescharacteristic
154#19151472C2211yescharacteristic
155#19151472C2211yescharacteristic
156#19151472C2211yescharacteristic
157#19151472C2211yescharacteristic
158#19151472C2211yescharacteristic
159#19151471C2211yescharacteristic
160#19151471C2211yescharacteristic, complemented
161#19151468C2211yescharacteristic, complemented
162#19151463C2211yescharacteristic, complemented
163#19151460C2211yescharacteristic
164#19151460C2211yescharacteristic
165#19151459C2211yescharacteristic, complemented
166#19151456C2211yescharacteristic, complemented
167#19151455C2211yescharacteristic
168#19151455C2211yescharacteristic
169#19151453C2211yescharacteristic
170#19151453C2211yescharacteristic
171#19151453C2211yescharacteristic
172C4×#13083553C2211yescharacteristic, complemented
173#19151443C2211yescharacteristic, complemented
174C2×#123×C89C2211yescharacteristic, complemented
175C2×#121×C89C2211yescharacteristic
176#400×C89C2211yescharacteristic, complemented
177#397×C89C2211yescharacteristic, complemented
178#394×C89C2211yescharacteristic, complemented
179#392×C89C2211yescharacteristic
180#392×C89C2211yescharacteristic
181#392×C89C2211yescharacteristic, complemented
182#390×C89C2211yescharacteristic
183#388×C89C2211yescharacteristic, complemented
184#388×C89C2211yescharacteristic, complemented
185#386×C89C2211yescharacteristic
186#386×C89C2211yescharacteristic
187#386×C89C2211yescharacteristic, complemented
188#380×C89C2211yescharacteristic
189C24×D89C2311yescharacteristic
190C2×#13083573—24no—
191C2×#13083573—42no—
192C2×#13083573—42no—
193C22×Dic178C2311yescharacteristic
194C22×Dic178C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C22×C22⋊D89C2311yescharacteristic
201C23×Dic89C2311yescharacteristic
202C23×Dic89C2311yescharacteristic
203C23×Dic89C2311yescharacteristic
204C23×Dic89C2311yescharacteristic
205C23×Dic89C2311yescharacteristic
206C22×C4×D89—24no—
207C22×C4×D89—42no—
208C22×C4×D89—42no—
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212C22×C4×D89C2311yescharacteristic
213#15668007—24no—
214#15668005—24no—
215#15668003—24no—
216#15668002—24no—
217#15667996—24no—
218#15667996—42no—
219#15667995—24no—
220#15667994—24no—
221#15667994—24no—
222#15667994—24no—
223#15667994—42no—
224#15667993—42no—
225#15667992—24no—
226#15667992—24no—
227#15667992—42no—
228#15667991—24no—
229#15667991—42no—
230#15667989—24no—
231#15667989—24no—
232#15667989—42no—
233#15667984—24no—
234#15667984—42no—
235#15667983—24no—
236#15667980—24no—
237#15667980—24no—
238#15667980—42no—
239D4×Dic89—24no—
240D4×Dic89—24no—
241D4×Dic89—24no—
242#15667972—24no—
243#15667972D418yescomplemented
244#15667970—24no—
245C2×C4⋊Dic89—24no—
246C2×C4⋊Dic89C2311yescharacteristic
247C2×C4⋊Dic89C2311yescharacteristic
248C2×C4⋊Dic89C2311yescharacteristic
249C2×C4⋊Dic89C2311yescharacteristic
250C2×C4⋊Dic89C2311yescharacteristic
251C2×C4⋊Dic89C2311yescharacteristic
252C2×C4⋊Dic89C2311yescharacteristic
253C2×C4⋊Dic89C2311yescharacteristic
254C2×C4⋊Dic89C2311yescharacteristic
255C2×C4⋊Dic89C2311yescharacteristic
256C2×C4⋊Dic89C2311yescharacteristic
257C2×C4⋊Dic89C2311yescharacteristic
258C2×C4⋊Dic89C2311yescharacteristic
259C2×C4⋊Dic89C2311yescharacteristic
260C2×C4⋊Dic89C2311yescharacteristic
261C2×C4⋊Dic89C2311yescharacteristic
262C2×#13083553C2311yescharacteristic
263C2×#13083553C2311yescharacteristic
264C2×#13083553C2311yescharacteristic
265C2×#13083553C2311yescharacteristic
266C2×#13083553C2311yescharacteristic
267C2×#13083553C2311yescharacteristic
268C2×#13083553C2311yescharacteristic
269C2×#13083553C2311yescharacteristic
270C2×#13083553C2311yescharacteristic
271C2×#13083553C2311yescharacteristic
272C2×#13083553C2311yescharacteristic
273C2×#13083553C2311yescharacteristic
274C2×#13083553C2311yescharacteristic
275C2×#13083553C2311yescharacteristic
276C2×#13083553C2311yescharacteristic
277C2×#13083553C2311yescharacteristic
278C2×#13083553C2311yescharacteristic
279C2×#13083553C2311yescharacteristic
280C2×C22⋊Dic89C2311yescharacteristic
281C2×C22⋊Dic89C2311yescharacteristic
282C2×C22⋊Dic89C2311yescharacteristic
283C2×C22⋊Dic89C2311yescharacteristic
284C2×C22⋊Dic89C2311yescharacteristic
285C2×C22⋊Dic89C2311yescharacteristic
286C2×C22⋊Dic89C2311yescharacteristic
287C2×C22⋊Dic89C2311yescharacteristic
288C2×C22⋊Dic89C2311yescharacteristic
289C2×C22⋊Dic89C2311yescharacteristic
290C2×C22⋊Dic89C2311yescharacteristic
291C2×C22⋊Dic89C2311yescharacteristic
292C2×C22⋊Dic89C2311yescharacteristic
293C2×C22⋊Dic89C2311yescharacteristic
294C2×C22⋊Dic89C2311yescharacteristic
295C2×C22⋊Dic89C2311yescharacteristic
296C2×C22⋊Dic89C2311yescharacteristic
297C2×C22⋊Dic89C2311yescharacteristic
298C2×C22⋊Dic89C2311yescharacteristic
299C2×C22⋊Dic89C2311yescharacteristic
300C2×#13083551C2311yescharacteristic
301C2×#13083551C2311yescharacteristic
302C2×#13083551C2311yescharacteristic
303C2×#13083551C2311yescharacteristic
304C2×#13083551C2311yescharacteristic
305C2×#13083551C2311yescharacteristic
306C2×#13083551C2311yescharacteristic
307C2×#13083551C2311yescharacteristic
308C2×#13083551C2311yescharacteristic
309C2×#13083551C2311yescharacteristic
310C2×#13083551C2311yescharacteristic
311C2×#13083551C2311yescharacteristic
312C2×#13083551C2311yescharacteristic
313C2×#13083551C2311yescharacteristic
314C2×#13083551C2311yescharacteristic
315C2×#13083551C2311yescharacteristic
316C2×#13083551C2311yescharacteristic
317C2×#13083551C2311yescharacteristic
318C2×C4×Dic89C2311yescharacteristic
319C2×C4×Dic89C2311yescharacteristic
320C2×C4×Dic89C2311yescharacteristic
321C2×C4×Dic89C2311yescharacteristic
322C2×C4×Dic89C2311yescharacteristic
323C2×C4×Dic89C2311yescharacteristic
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
347#15667919C2311yescharacteristic
348C22×D4×C89C2311yescharacteristic
349C22×D4×C89C2311yescharacteristic
350C22×D4×C89C2311yescharacteristic
351C22×D4×C89C2311yescharacteristic
352C22×D4×C89C2311yescharacteristic
353C22×D4×C89C2311yescharacteristic
354C23×C4×C89C2311yescharacteristic
355C23×C4×C89C2311yescharacteristic
356#123×C89—24no—
357#121×C89—24no—
358C2×C4⋊C4×C89C2311yescharacteristic
359C2×C4⋊C4×C89C2311yescharacteristic
360C2×C4⋊C4×C89C2311yescharacteristic
361C2×C4⋊C4×C89C2311yescharacteristic
362C2×C22⋊C4×C89C2311yescharacteristic
363C2×C22⋊C4×C89C2311yescharacteristic
364C2×C22⋊C4×C89C2311yescharacteristic
365C2×C22⋊C4×C89C2311yescharacteristic
366C2×C22⋊C4×C89C2311yescharacteristic
367C2×C22⋊C4×C89C2311yescharacteristic
368C2×C22⋊C4×C89C2311yescharacteristic
369C2×C22⋊C4×C89C2311yescharacteristic
370C2×C22⋊C4×C89C2311yescharacteristic
371C2×C22⋊C4×C89C2311yescharacteristic
372C2×C22⋊C4×C89C2311yescharacteristic
373C2×C22⋊C4×C89C2311yescharacteristic
374C2×C22⋊C4×C89C2311yescharacteristic
375C2×C22⋊C4×C89C2311yescharacteristic
376C2×C42×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—41no—
389C23×D89—41no—
390C23×D89—41no—
391C23×D89—41no—
392C23×D89C2411yescharacteristic
393C23×D89C2411yescharacteristic
394#13083573—416no—
395C2×Dic178—22no—
396C2×Dic178—22no—
397C2×Dic178—22no—
398C2×Dic178—41no—
399C2×Dic178—41no—
400C2×Dic178—41no—
401C2×C22⋊D89—22no—
402C2×C22⋊D89—22no—
403C2×C22⋊D89—22no—
404C2×C22⋊D89—22no—
405C2×C22⋊D89—22no—
406C2×C22⋊D89—22no—
407C2×C22⋊D89—22no—
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⋊D89C2×D414yes—
419C22×Dic89—22no—
420C22×Dic89—22no—
421C22×Dic89—22no—
422C22×Dic89—22no—
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×Dic89—41no—
433C22×Dic89C2×D414yes—
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
447C22×Dic89C2411yescharacteristic
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—416no—
456C2×C4×D89—41no—
457C2×C4×D89—41no—
458C2×C4×D89—41no—
459C2×C4×D89—41no—
460C2×C4×D89C2×D414yes—
461C4⋊Dic89—22no—
462C4⋊Dic89—22no—
463C4⋊Dic89—22no—
464C4⋊Dic89—22no—
465C4⋊Dic89—22no—
466C4⋊Dic89—22no—
467C4⋊Dic89—22no—
468C4⋊Dic89—22no—
469C4⋊Dic89—22no—
470C4⋊Dic89—41no—
471C4⋊Dic89—41no—
472C4⋊Dic89—41no—
473C4⋊Dic89—41no—
474C4⋊Dic89—41no—
475C4⋊Dic89—41no—
476C4⋊Dic89—41no—
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—41no—
487#13083553—41no—
488#13083553—41no—
489#13083553—41no—
490#13083553—41no—
491#13083553—41no—
492#13083553—41no—
493#13083553—41no—
494#13083553C2×D414yes—
495C22⋊Dic89—22no—
496C22⋊Dic89—22no—
497C22⋊Dic89—22no—
498C22⋊Dic89—22no—
499C22⋊Dic89—22no—
500C22⋊Dic89—22no—
501C22⋊Dic89—22no—
502C22⋊Dic89—22no—
503C22⋊Dic89—41no—
504C22⋊Dic89—41no—
505C22⋊Dic89—41no—
506C22⋊Dic89—41no—
507C22⋊Dic89—41no—
508C22⋊Dic89—41no—
509C22⋊Dic89—41no—
510C22⋊Dic89—41no—
511C22⋊Dic89—41no—
512C22⋊Dic89—41no—
513C22⋊Dic89—41no—
514C22⋊Dic89—41no—
515#13083551—22no—
516#13083551—22no—
517#13083551—22no—
518#13083551—22no—
519#13083551—22no—
520#13083551—22no—
521#13083551—22no—
522#13083551—22no—
523#13083551—22no—
524#13083551—41no—
525#13083551—41no—
526#13083551—41no—
527#13083551—41no—
528#13083551—41no—
529#13083551—41no—
530#13083551—41no—
531#13083551—41no—
532#13083551C2×D414yes—
533C4×Dic89—22no—
534C4×Dic89—22no—
535C4×Dic89—41no—
536C4×Dic89—41no—
537C4×Dic89—41no—
538C4×Dic89C2×D414yes—
539C24×C89C2411yescharacteristic
540C24×C89C2411yescharacteristic
541C24×C89C2411yescharacteristic
542C24×C89C2411yescharacteristic
543C2×D4×C89—22no—
544C2×D4×C89—22no—
545C2×D4×C89—22no—
546C2×D4×C89—22no—
547C2×D4×C89—22no—
548C2×D4×C89—22no—
549C2×D4×C89—22no—
550C2×D4×C89—22no—
551C2×D4×C89—41no—
552C2×D4×C89—41no—
553C2×D4×C89—41no—
554C2×D4×C89—41no—
555C2×D4×C89—41no—
556C2×D4×C89—41no—
557C2×D4×C89—41no—
558C2×D4×C89—41no—
559C2×D4×C89—41no—
560C2×D4×C89—41no—
561C22×C4×C89—22no—
562C22×C4×C89—22no—
563C22×C4×C89—22no—
564C22×C4×C89—41no—
565C22×C4×C89—41no—
566C22×C4×C89—41no—
567C22×C4×C89C2411yescharacteristic
568C22×C4×C89C2411yescharacteristic
569C22×C4×C89C2411yescharacteristic
570C22×C4×C89C2411yescharacteristic
571C22×C4×C89C2411yescharacteristic
572C22×C4×C89C2411yescharacteristic
573C22×C4×C89C2411yescharacteristic
574C22×C4×C89C2411yescharacteristic
575C22×C4×C89C2411yescharacteristic
576C22×C4×C89C2411yescharacteristic
577C22×C4×C89C2411yescharacteristic
578C4⋊C4×C89—22no—
579C4⋊C4×C89—22no—
580C4⋊C4×C89—22no—
581C4⋊C4×C89—41no—
582C22⋊C4×C89—22no—
583C22⋊C4×C89—22no—
584C22⋊C4×C89—22no—
585C22⋊C4×C89—22no—
586C22⋊C4×C89—41no—
587C22⋊C4×C89—41no—
588C22⋊C4×C89—41no—
589C22⋊C4×C89—41no—
590C22⋊C4×C89—41no—
591C22⋊C4×C89—41no—
592C22⋊C4×C89—41no—
593C22⋊C4×C89—41no—
594C22⋊C4×C89—41no—
595C22⋊C4×C89C2×D414yes—
596C42×C89—41no—
597C23×C89—21no—
598C23×C89—21no—
599C23×C89—21no—
600C23×C89—21no—
601C23×C89—21no—
602C23×C89—21no—
603C23×C89—21no—
604C23×C89—21no—
605C23×C89—21no—
606C23×C89—21no—
607C23×C89—21no—
608C23×C89—21no—
609C23×C89—21no—
610C23×C89—21no—
611C23×C89—21no—
612C23×C89—21no—
613C23×C89—21no—
614C23×C89—21no—
615C23×C89—21no—
616C23×C89—21no—
617C23×C89—21no—
618C23×C89—21no—
619C23×C89—21no—
620C23×C89—21no—
621C23×C89—21no—
622C23×C89—21no—
623C23×C89C22×D412yes—
624C23×C892−1+412yes—
625C23×C89C2511yescharacteristic
626C22×D89—21no—
627C22×D89—21no—
628C22×D89—21no—
629C22×D89—21no—
630C22×D89—21no—
631C22×D89—21no—
632C22×D89—21no—
633C22×D89—21no—
634C22×D89—21no—
635C22×D89—21no—
636C22×D89—21no—
637C22×D89—21no—
638C22×D89—44no—
639C22×D89—44no—
640C22×D89—44no—
641C22×D89—44no—
642C22×D89—44no—
643C22×D89—44no—
644C22×D89—44no—
645C22×D89C22×D412yes—
646C22×D89H(5,𝔽2)12yes—
647D4×C89—44no—
648D4×C89—44no—
649D4×C89—44no—
650D4×C89—44no—
651D4×C89—82no—
652D4×C89—82no—
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—21no—
680C2×C4×C89—21no—
681C2×C4×C89—21no—
682C2×C4×C89—21no—
683C2×C4×C89—44no—
684C2×C4×C89—44no—
685C2×C4×C89C22×D412yes—
686C2×C4×C89C22×D412yes—
687C2×C4×C89H(5,𝔽2)12yes—
688C22⋊D89—44no—
689C22⋊D89—44no—
690C22⋊D89—44no—
691C22⋊D89—44no—
692C22⋊D89—82no—
693C22⋊D89—82no—
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—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—21no—
730C2×Dic89—21no—
731C2×Dic89—21no—
732C2×Dic89—21no—
733C2×Dic89—44no—
734C2×Dic89—44no—
735C2×Dic89—44no—
736C2×Dic89—82no—
737C2×Dic89—82no—
738C2×Dic89C22×D412yes—
739C2×Dic89C22×D412yes—
740C2×Dic89C22×D412yes—
741C4×D89—28no—
742C4×D89—44no—
743C4×D89—44no—
744C4×D89—44no—
745Dic178—44no—
746Dic178—82no—
747C22×C89—22no—
748C22×C89—22no—
749C22×C89—22no—
750C22×C89—22no—
751C22×C89—22no—
752C22×C89—22no—
753C22×C89—41no—
754C22×C89—41no—
755C22×C89—41no—
756C22×C89—41no—
757C22×C89—41no—
758C22×C89—41no—
759C22×C89—41no—
760C22×C89—41no—
761C22×C89—41no—
762C22×C89—41no—
763C22×C89—41no—
764C22×C89—41no—
765C22×C89—41no—
766C22×C89—41no—
767C22×C89—41no—
768C22×C89—41no—
769C22×C89—41no—
770C22×C89—41no—
771C22×C89—41no—
772C22×C89—41no—
773C22×C89—41no—
774C22×C89—41no—
775C22×C89C23×D411yescharacteristic
776C22×C89C2×H(5,𝔽2)11yescharacteristic
777C22×C89C2×H(5,𝔽2)11yescharacteristic
778C22×C89C2×2−1+411yescharacteristic
779C22×C89#58511yescharacteristic
780C22×C89#58511yescharacteristic
781C22×C89#58511yescharacteristic
782C2×D89—22no—
783C2×D89—22no—
784C2×D89—22no—
785C2×D89—22no—
786C2×D89—22no—
787C2×D89—22no—
788C2×D89—416no—
789C2×D89—41no—
790C2×D89—41no—
791C2×D89—41no—
792C2×D89—41no—
793C2×D89—41no—
794C2×D89—41no—
795C2×D89—41no—
796C2×D89—41no—
797C4×C89—22no—
798C4×C89—22no—
799C4×C89—22no—
800C4×C89—41no—
801C4×C89—41no—
802C4×C89—41no—
803C4×C89—41no—
804C4×C89—41no—
805C4×C89—41no—
806C4×C89—41no—
807C4×C89—41no—
808Dic89—22no—
809Dic89—22no—
810Dic89—22no—
811Dic89—41no—
812Dic89—41no—
813Dic89—41no—
814Dic89—41no—
815Dic89—41no—
816Dic89—41no—
817Dic89—41no—
818Dic89—41no—
819Dic89—41no—
820Dic89—41no—
821Dic89—41no—
822#36723—891nomaximal, Sylow
823C2×C89—42no—
824C2×C89—42no—
825C2×C89—81no—
826C2×C89—81no—
827C2×C89#344911yescharacteristic
828C2×C89#348411yescharacteristic
829C2×C89#348911yescharacteristic
830C2×C89#353311yescharacteristic
831C2×C89#353511yescharacteristic
832C2×C89#353911yescharacteristic
833C2×C89#354111yescharacteristic
834D89—42no—
835D89—42no—
836C2×#539—891no—
837C2×#525—891no—
838#2849—891no—
839#2848—891no—
840#2707—891no—
841#2706—891no—
842#2704—891no—
843#2703D8911yescharacteristic, complemented
844#2701—891no—
845#2698—891no—
846#2697—891no—
847#2685—891no—
848#2683—891no—
849#2682—891no—
850#2681—891no—
851#2681—891no—
852#2680—891no—
853#2680—891no—
854#2678—891no—
855#2678—891no—
856#2638—891no—
857#2630—891no—
858#2611—891no—
859#2603—891no—
860#2601—891no—
861#2600—891no—
862#2579—891no—
863#2566—891no—
864#2407—891no—
865#2406—891no—
866#2319—891no—
867C89#3672311yescharacteristic, complemented, Sylow
868C22×#41—891no—
869C24×C4—891no—
870#539—1788no—
871C2×#126—891no—
872C2×#126—891no—
873C2×#125—891no—
874C2×#125—891no—
875#525—1788no—
876C2×#123—891no—
877C2×#123—891no—
878C2×#123—891no—
879C2×#123—891no—
880C2×#123—891no—
881C2×#123—891no—
882C2×#123—891no—
883C2×#123—891no—
884C2×#123C2×D8911yescharacteristic, complemented
885C2×C22⋊Q8—891no—
886C2×C22⋊Q8—891no—
887C2×C22⋊Q8—891no—
888C2×C22⋊Q8—891no—
889C2×C22⋊Q8—891no—
890C2×C22⋊Q8—891no—
891C2×C22⋊Q8—891no—
892C2×C22⋊Q8—891no—
893C2×#121—891no—
894C2×#121—891no—
895C2×#121—891no—
896C2×#121C2×D8911yescharacteristic
897C2×#120—891no—
898C2×#120—891no—
899C2×#120—891no—
900C2×C4×D4—891no—
901C2×C4×D4—891no—
902C2×C4×D4—891no—
903C2×C4×D4—891no—
904C2×C4×D4—891no—
905C2×#117—891no—
906C22×C4⋊C4—891no—
907#400C2×D8911yescharacteristic, complemented
908#399—891no—
909#398—891no—
910#398—891no—
911#398—891no—
912#398—891no—
913#398—891no—
914#398—891no—
915#398—891no—
916#397—891no—
917#397—891no—
918#397—891no—
919#397—891no—
920#397—891no—
921#397—891no—
922#397C2×D8911yescharacteristic, complemented
923#396—891no—
924#396—891no—
925#396—891no—
926#396—891no—
927#396—891no—
928#396—891no—
929#396—891no—
930#396—891no—
931#396—891no—
932#396—891no—
933#395—891no—
934#395—891no—
935#395—891no—
936#394—891no—
937#394—891no—
938#394—891no—
939#394—891no—
940#394—891no—
941#394—891no—
942#394—891no—
943#394—891no—
944#394—891no—
945#394—891no—
946#394—891no—
947#394—891no—
948#394C2×D8911yescharacteristic, complemented
949#393—891no—
950#392—891no—
951#392—891no—
952#392C2×D8911yescharacteristic
953#392C2×D8911yescharacteristic
954#392C2×D8911yescharacteristic, complemented
955#391—891no—
956#390—891no—
957#390—891no—
958#390—891no—
959#390—891no—
960#390—891no—
961#390—891no—
962#390—891no—
963#390C2×D8911yescharacteristic
964#389—891no—
965#389—891no—
966#389—891no—
967#389—891no—
968#389—891no—
969#388—891no—
970#388—891no—
971#388—891no—
972#388—891no—
973#388—891no—
974#388—891no—
975#388—891no—
976#388—891no—
977#388—891no—
978#388—891no—
979#388C2×D8911yescharacteristic, complemented
980#388C2×D8911yescharacteristic, complemented
981#387—891no—
982#387—891no—
983#387—891no—
984#387—891no—
985#386—891no—
986#386—891no—
987#386—891no—
988#386—891no—
989#386—891no—
990#386—891no—
991#386—891no—
992#386C2×D8911yescharacteristic
993#386C2×D8911yescharacteristic
994#386C2×D8911yescharacteristic, complemented
995#385—891no—
996#385—891no—
997#385—891no—
998#385—891no—
999#385—891no—
1000#385—891no—
1001#385—891no—
1002#385—891no—
1003#385—891no—
1004#385—891no—
1005#385—891no—
1006#385—891no—
1007#385—891no—
1008#385—891no—
1009#385—891no—
1010#385—891no—
1011#384—891no—
1012#382—891no—
1013#381—891no—
1014#381—891no—
1015#381—891no—
1016#380—891no—
1017#380—891no—
1018#380—891no—
1019#380C2×D8911yescharacteristic
1020#379—891no—
1021#379—891no—
1022#379—891no—
1023C4×C4⋊C4—891no—
1024#376—891no—
1025C25—891no—
1026C2×#41—3562no—
1027C2×#41—3562no—
1028C2×#41—1784no—
1029C22×Q8—891no—
1030C22×Q8—891no—
1031C22×D4—891no—
1032C22×D4—891no—
1033C22×D4—891no—
1034C22×D4—891no—
1035C22×D4—891no—
1036C22×D4—891no—
1037C22×D4C22×D8911yescharacteristic
1038C22×D4C22×D8911yescharacteristic
1039C22×D4C22×D8911yescharacteristic
1040C22×D4C22×D8911yescharacteristic
1041C22×D4C22×D8911yescharacteristic
1042C22×D4C22×D8911yescharacteristic
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—3562no—
1053C23×C4—3562no—
1054C23×C4—1784no—
1055C23×C4C22×D8911yescharacteristic
1056C23×C4C22×D8911yescharacteristic
1057#126—1784no—
1058#126—1784no—
1059#125—1784no—
1060#125—1784no—
1061#123—24no—
1062#123—3562no—
1063#123—3562no—
1064#123—3562no—
1065#123—1784no—
1066#123—1784no—
1067#123—1784no—
1068#123—1784no—
1069#123—1784no—
1070C22⋊Q8—3562no—
1071C22⋊Q8—3562no—
1072C22⋊Q8—3562no—
1073C22⋊Q8—1784no—
1074C22⋊Q8—1784no—
1075C22⋊Q8—1784no—
1076C22⋊Q8—1784no—
1077C22⋊Q8—1784no—
1078#121—24no—
1079#121—3562no—
1080#121—1784no—
1081#121—1784no—
1082#120—3562no—
1083#120—1784no—
1084#120—1784no—
1085C4×D4—898no—
1086C4×D4—1784no—
1087C4×D4—1784no—
1088C4×D4—1784no—
1089C4×D4—1784no—
1090#117—1784no—
1091C2×C4⋊C4—891no—
1092C2×C4⋊C4—891no—
1093C2×C4⋊C4—891no—
1094C2×C4⋊C4—891no—
1095C2×C4⋊C4—891no—
1096C2×C4⋊C4—891no—
1097C2×C4⋊C4—891no—
1098C2×C4⋊C4—891no—
1099C2×C4⋊C4—891no—
1100C2×C4⋊C4—891no—
1101C2×C4⋊C4—891no—
1102C2×C4⋊C4—891no—
1103C2×C4⋊C4—891no—
1104C2×C4⋊C4—891no—
1105C2×C4⋊C4—891no—
1106C2×C4⋊C4—891no—
1107C2×C4⋊C4—891no—
1108C2×C4⋊C4—891no—
1109C2×C4⋊C4—891no—
1110C2×C4⋊C4—891no—
1111C2×C4⋊C4—891no—
1112C2×C4⋊C4—891no—
1113C2×C4⋊C4—891no—
1114C2×C4⋊C4—891no—
1115C2×C4⋊C4—891no—
1116C2×C4⋊C4—891no—
1117C2×C4⋊C4—891no—
1118C2×C4⋊C4—891no—
1119C2×C4⋊C4—891no—
1120C2×C4⋊C4—891no—
1121C2×C4⋊C4—891no—
1122C2×C4⋊C4—891no—
1123C2×C4⋊C4—891no—
1124C2×C4⋊C4—891no—
1125C2×C4⋊C4—1784no—
1126C2×C4⋊C4C22×D8911yescharacteristic
1127C2×C4⋊C4C22×D8911yescharacteristic
1128C2×C4⋊C4C22×D8911yescharacteristic
1129C2×C4⋊C4C22×D8911yescharacteristic
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—891no—
1141C2×C22⋊C4—891no—
1142C2×C22⋊C4—891no—
1143C2×C22⋊C4—891no—
1144C2×C22⋊C4—891no—
1145C2×C22⋊C4—891no—
1146C2×C22⋊C4—891no—
1147C2×C22⋊C4—891no—
1148C2×C22⋊C4—891no—
1149C2×C22⋊C4—891no—
1150C2×C22⋊C4—891no—
1151C2×C22⋊C4—891no—
1152C2×C22⋊C4—891no—
1153C2×C22⋊C4—891no—
1154C2×C22⋊C4—891no—
1155C2×C22⋊C4—891no—
1156C2×C22⋊C4—891no—
1157C2×C22⋊C4—891no—
1158C2×C22⋊C4—891no—
1159C2×C22⋊C4—891no—
1160C2×C22⋊C4—891no—
1161C2×C22⋊C4—891no—
1162C2×C22⋊C4—891no—
1163C2×C22⋊C4—891no—
1164C2×C22⋊C4—891no—
1165C2×C22⋊C4—891no—
1166C2×C22⋊C4—891no—
1167C2×C22⋊C4—891no—
1168C2×C22⋊C4C22×D8911yescharacteristic
1169C2×C22⋊C4C22×D8911yescharacteristic
1170C2×C22⋊C4C22×D8911yescharacteristic
1171C2×C22⋊C4C22×D8911yescharacteristic
1172C2×C22⋊C4C22×D8911yescharacteristic
1173C2×C22⋊C4C22×D8911yescharacteristic
1174C2×C22⋊C4C22×D8911yescharacteristic
1175C2×C22⋊C4C22×D8911yescharacteristic
1176C2×C22⋊C4C22×D8911yescharacteristic
1177C2×C22⋊C4C22×D8911yescharacteristic
1178C2×C22⋊C4C22×D8911yescharacteristic
1179C2×C22⋊C4C22×D8911yescharacteristic
1180C2×C22⋊C4C22×D8911yescharacteristic
1181C2×C22⋊C4C22×D8911yescharacteristic
1182C2×C42—891no—
1183C2×C42—891no—
1184C2×C42—891no—
1185C2×C42—891no—
1186C2×C42—891no—
1187C2×C42—891no—
1188C2×C42C22×D8911yescharacteristic
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#95—891no—
1207#95—891no—
1208#95—891no—
1209#95—891no—
1210#95—891no—
1211#95—891no—
1212#95—891no—
1213#95C22×D8911yescharacteristic
1214#95C22×D8911yescharacteristic
1215#95C22×D8911yescharacteristic
1216#95C22×D8911yescharacteristic
1217#95C22×D8911yescharacteristic
1218#95C22×D8911yescharacteristic
1219#95C22×D8911yescharacteristic
1220#95C22×D8911yescharacteristic
1221C24—891no—
1222C24—891no—
1223C24—3561no—
1224C24—3561no—
1225C24—3561no—
1226C24—3561no—
1227C24—1782no—
1228C24—1782no—
1229C24—1782no—
1230C24C23×D8911yescharacteristic
1231C24C23×D8911yescharacteristic
1232C24C23×D8911yescharacteristic
1233C24C23×D8911yescharacteristic
1234#41—35616no—
1235C2×Q8—3561no—
1236C2×Q8—3561no—
1237C2×Q8—3561no—
1238C2×Q8—1782no—
1239C2×Q8—1782no—
1240C2×Q8—1782no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—41no—
1250C2×D4—41no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—41no—
1255C2×D4—41no—
1256C2×D4—41no—
1257C2×D4—41no—
1258C2×D4—41no—
1259C2×D4—894no—
1260C2×D4—3561no—
1261C2×D4—3561no—
1262C2×D4—3561no—
1263C2×D4—3561no—
1264C2×D4—3561no—
1265C2×D4—3561no—
1266C2×D4—3561no—
1267C2×D4—3561no—
1268C2×D4—3561no—
1269C2×D4—3561no—
1270C2×D4—1782no—
1271C2×D4—1782no—
1272C2×D4—1782no—
1273C2×D4—1782no—
1274C2×D4—1782no—
1275C2×D4—1782no—
1276C2×D4—1782no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—41no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—894no—
1284C22×C4—891no—
1285C22×C4—891no—
1286C22×C4—891no—
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—891no—
1297C22×C4—891no—
1298C22×C4—891no—
1299C22×C4—3561no—
1300C22×C4—3561no—
1301C22×C4—3561no—
1302C22×C4—3561no—
1303C22×C4—35616no—
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—1782no—
1315C22×C4—1782no—
1316C22×C4—1782no—
1317C22×C4—1782no—
1318C22×C4—1782no—
1319C22×C4—1782no—
1320C22×C4—1782no—
1321C22×C4—1782no—
1322C22×C4—1782no—
1323C22×C4—1782no—
1324C22×C4—1782no—
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
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—41no—
1340C4⋊C4—894no—
1341C4⋊C4—3561no—
1342C4⋊C4—3561no—
1343C4⋊C4—3561no—
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—3561no—
1356C4⋊C4—1782no—
1357C4⋊C4—1782no—
1358C4⋊C4—1782no—
1359C4⋊C4—1782no—
1360C4⋊C4—1782no—
1361C4⋊C4—1782no—
1362C4⋊C4—1782no—
1363C4⋊C4—1782no—
1364C4⋊C4—1782no—
1365C4⋊C4—1782no—
1366C4⋊C4—1782no—
1367C4⋊C4—1782no—
1368C4⋊C4—1782no—
1369C4⋊C4—1782no—
1370C4⋊C4—1782no—
1371C4⋊C4—1782no—
1372C4⋊C4—1782no—
1373C4⋊C4—1782no—
1374C22⋊C4—22no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—41no—
1379C22⋊C4—41no—
1380C22⋊C4—41no—
1381C22⋊C4—41no—
1382C22⋊C4—41no—
1383C22⋊C4—41no—
1384C22⋊C4—41no—
1385C22⋊C4—41no—
1386C22⋊C4—41no—
1387C22⋊C4—894no—
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—3561no—
1401C22⋊C4—3561no—
1402C22⋊C4—3561no—
1403C22⋊C4—3561no—
1404C22⋊C4—3561no—
1405C22⋊C4—3561no—
1406C22⋊C4—3561no—
1407C22⋊C4—3561no—
1408C22⋊C4—1782no—
1409C22⋊C4—1782no—
1410C22⋊C4—1782no—
1411C22⋊C4—1782no—
1412C22⋊C4—1782no—
1413C22⋊C4—1782no—
1414C22⋊C4—1782no—
1415C22⋊C4—1782no—
1416C22⋊C4—1782no—
1417C22⋊C4—1782no—
1418C22⋊C4—1782no—
1419C22⋊C4—1782no—
1420C22⋊C4—1782no—
1421C22⋊C4—1782no—
1422C22⋊C4—1782no—
1423C22⋊C4—1782no—
1424C22⋊C4—1782no—
1425C22⋊C4D4×D8914yes—
1426C42—41no—
1427C42—894no—
1428C42—3561no—
1429C42—3561no—
1430C42—3561no—
1431C42—1782no—
1432C42—1782no—
1433C23—21no—
1434C23—21no—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—21no—
1447C23—21no—
1448C23—21no—
1449C23—21no—
1450C23—21no—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—21no—
1456C23—21no—
1457C23—21no—
1458C23—21no—
1459C23—892no—
1460C23—892no—
1461C23—3564no—
1462C23—3564no—
1463C23—3564no—
1464C23—3564no—
1465C23—3564no—
1466C23—3564no—
1467C23—3564no—
1468C23—1781no—
1469C23—1781no—
1470C23—1781no—
1471C23—1781no—
1472C23—1781no—
1473C23—1781no—
1474C23—1781no—
1475C23—1781no—
1476C23—1781no—
1477C23—1781no—
1478C23—1781no—
1479C23—1781no—
1480C23C2×D4×D8912yes—
1481C23#1566805912yes—
1482C23C24×D8911yescharacteristic
1483Q8—3564no—
1484Q8—7122no—
1485D4—44no—
1486D4—44no—
1487D4—44no—
1488D4—44no—
1489D4—82no—
1490D4—82no—
1491D4—3564no—
1492D4—3564no—
1493D4—3564no—
1494D4—3564no—
1495D4—7122no—
1496D4—7122no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—44no—
1528C2×C4—44no—
1529C2×C4—892no—
1530C2×C4—892no—
1531C2×C4—892no—
1532C2×C4—3564no—
1533C2×C4—3564no—
1534C2×C4—3564no—
1535C2×C4—3564no—
1536C2×C4—3564no—
1537C2×C4—3564no—
1538C2×C4—1788no—
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—1781no—
1571C2×C4—1781no—
1572C2×C4—1781no—
1573C2×C4—1781no—
1574C2×C4—1781no—
1575C2×C4—1781no—
1576C2×C4—1781no—
1577C2×C4—1781no—
1578C2×C4—7122no—
1579C2×C4—7122no—
1580C2×C4C2×D4×D8912yes—
1581C2×C4C2×D4×D8912yes—
1582C2×C4#1566805812yes—
1583C22—22no—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—41no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—41no—
1598C22—41no—
1599C22—41no—
1600C22—41no—
1601C22—41no—
1602C22—41no—
1603C22—41no—
1604C22—41no—
1605C22—41no—
1606C22—41no—
1607C22—41no—
1608C22—41no—
1609C22—41no—
1610C22—41no—
1611C22—35616no—
1612C22—3561no—
1613C22—3561no—
1614C22—3561no—
1615C22—3561no—
1616C22—3561no—
1617C22—3561no—
1618C22—3561no—
1619C22—3561no—
1620C22—1782no—
1621C22—1782no—
1622C22—1782no—
1623C22—1782no—
1624C22—1782no—
1625C22—1782no—
1626C22C22×D4×D8911yescharacteristic
1627C22H(5,𝔽2)×D8911yescharacteristic
1628C22C2×#1566805811yescharacteristic
1629C22C2×#1566805911yescharacteristic
1630C22#1915243311yescharacteristic
1631C22#1915243311yescharacteristic
1632C22#1915243311yescharacteristic
1633C4—22no—
1634C4—22no—
1635C4—22no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—41no—
1644C4—3561no—
1645C4—3561no—
1646C4—3561no—
1647C4—3561no—
1648C4—3561no—
1649C4—3561no—
1650C4—3561no—
1651C4—3561no—
1652C4—3561no—
1653C4—3561no—
1654C4—3561no—
1655C4—1782no—
1656C4—1782no—
1657C4—1782no—
1658C2—42no—
1659C2—42no—
1660C2—81no—
1661C2—81no—
1662C2—3562no—
1663C2—3562no—
1664C2#2603358311yescharacteristic
1665C2#2603388211yescharacteristic
1666C2#2603392311yescharacteristic
1667C2#2603442111yescharacteristic
1668C2#2603445011yescharacteristic
1669C2#2603451111yescharacteristic
1670C2#2603453911yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2703C2
hypercenter#2703D89
hypocenterC89#36723
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2703

Complements

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

NH ≅ G/Ntype
1. C2×#19152192C2semidirect
2. C2×#19152108C2semidirect
3. #26028543C2semidirect
4. #26028540C2semidirect
5. #26026957C2semidirect
6. #26026934C2semidirect
7. #26026910C2semidirect
8. #26026868C2semidirect
9. #26026825C2semidirect
10. #26026816C2semidirect
11. #26026638C2semidirect
12. #26026625C2semidirect
13. #26026619C2semidirect
14. #26026603C2semidirect
15. #26026598C2semidirect
16. #26026590C2semidirect
17. #26026590C2semidirect
18. #26026570C2semidirect
19. #26026570C2semidirect
20. #26026174C2semidirect
21. #26026096C2semidirect
22. #26025953C2semidirect
23. #26025872C2semidirect
24. #26025856C2semidirect
25. #26025833C2semidirect
26. #26025596C2semidirect
27. #26025454C2semidirect
28. #26023590C2semidirect
29. #26023586C2semidirect
30. #26022893C2semidirect
31. C89×#2703C2semidirect
36. C2×#15668005C22semidirect
37. C2×#15668003C22semidirect
38. C2×#15668002C22semidirect
47. C2×#15667993C22semidirect
53. C2×#15667989C22semidirect
54. C2×#15667989C22semidirect
55. C2×#15667989C22semidirect
64. C2×D4×Dic89C22semidirect
68. C22×C4⋊Dic89C22semidirect
70. #19151532C22semidirect
71. #19151530C22semidirect
72. #19151530C22semidirect
73. #19151530C22semidirect
74. #19151529C22semidirect
75. #19151528C22semidirect
76. #19151528C22semidirect
81. #19151523C22semidirect
82. #19151523C22semidirect
88. #19151521C22semidirect
89. #19151521C22semidirect
90. #19151521C22semidirect
91. #19151521C22semidirect
92. #19151521C22semidirect
93. #19151519C22semidirect
94. #19151519C22semidirect
95. #19151519C22semidirect
106. #19151512C22semidirect
107. #19151512C22semidirect
108. #19151510C22semidirect
111. #19151502C22semidirect
114. #19151501C22semidirect
119. #19151495C22semidirect
120. #19151495C22semidirect
121. #19151495C22semidirect
122. #19151493C22semidirect
123. #19151493C22semidirect
125. #19151492C22semidirect
126. #19151491C22semidirect
133. #19151486C22semidirect
134. #19151485C22semidirect
135. #19151485C22semidirect
136. #19151485C22semidirect
137. #19151485C22semidirect
141. #19151478C22semidirect
148. #19151473C22semidirect
149. #19151473C22semidirect
150. #19151473C22semidirect
151. #19151473C22semidirect
152. #19151473C22semidirect
160. #19151471C22semidirect
161. #19151468C22semidirect
162. #19151463C22semidirect
165. #19151459C22semidirect
166. #19151456C22semidirect
172. C4×#13083553C22semidirect
173. #19151443C22semidirect
174. C2×#123×C89C22semidirect
176. #400×C89C22semidirect
177. #397×C89C22semidirect
178. #394×C89C22semidirect
181. #392×C89C22semidirect
183. #388×C89C22semidirect
184. #388×C89C22semidirect
187. #386×C89C22semidirect
243. #15667972D4semidirect
843. #2703D89semidirect
867. C89#36723semidirect
884. C2×#123C2×D89semidirect
907. #400C2×D89semidirect
922. #397C2×D89semidirect
948. #394C2×D89semidirect
954. #392C2×D89semidirect
979. #388C2×D89semidirect
980. #388C2×D89semidirect
994. #386C2×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191521922
C2×#191521082
#260285432
#260285402
#260269572
#260269342
#260269102
#260268682
#260268252
#260268162
#260266382
#260266252
#260266192
#260266032
#260265982
#260265902
#260265702
#260261742
#260260962
#260259532
#260258722
#260258562
#260258332
#260255962
#260254542
#260235902
#260235862
#260228932
C89×#27032
#3672389