Finite Group Databasebeta

← #26034430

Subgroups — #26034430

Order 11392.

1166 conjugacy classes of subgroups.

The subgroup lattice has 1082 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#19152343C211yesmaximal, characteristic, complemented
2#19152343C211yesmaximal, characteristic, complemented
3#19152337C211yesmaximal, characteristic, complemented
4#19152335C211yesmaximal, characteristic, complemented
5#19152297C211yesmaximal, characteristic, complemented
6#19152291C211yesmaximal, characteristic, complemented
7#19152279C211yesmaximal, characteristic, complemented
8#19152277C211yesmaximal, characteristic, complemented
9#19152242C211yesmaximal, characteristic, complemented
10#19152242C211yesmaximal, characteristic, complemented
11#19152242C211yesmaximal, characteristic, complemented
12#19152237C211yesmaximal, characteristic, complemented
13#19152235C211yesmaximal, characteristic, complemented
14#19152235C211yesmaximal, characteristic, complemented
15D4×C22⋊D89C211yesmaximal, characteristic, complemented
16#19152202C211yesmaximal, characteristic, complemented
17#19152198C211yesmaximal, characteristic, complemented
18#19152193C211yesmaximal, characteristic, complemented
19#19152190C211yesmaximal, characteristic, complemented
20#19152190C211yesmaximal, characteristic, complemented
21#19152183C211yesmaximal, characteristic, complemented
22#19152183C211yesmaximal, characteristic, complemented
23#19152180C211yesmaximal, characteristic, complemented
24#19152175C211yesmaximal, characteristic, complemented
25#19152158C211yesmaximal, characteristic, complemented
26#19152157C211yesmaximal, characteristic, complemented
27#19152157C211yesmaximal, characteristic, complemented
28#19152104C211yesmaximal, characteristic, complemented
29C2×#15667993C211yesmaximal, characteristic, complemented
30C2×#15667984C211yesmaximal, characteristic, complemented
31D42×C89C211yesmaximal, characteristic, complemented
32C2×#13083573C2211yescharacteristic, complemented
33C2×#13083573C2211yescharacteristic, complemented
34C2×#13083573C2211yescharacteristic, complemented
35C22×C22⋊D89C2211yescharacteristic, complemented
36C22×C22⋊D89C2211yescharacteristic, complemented
37C22×C22⋊D89C2211yescharacteristic, complemented
38C2×D4×D89C2211yescharacteristic, complemented
39C23×Dic89C2211yescharacteristic, complemented
40#15668008C2211yescharacteristic, complemented
41#15668007C2211yescharacteristic, complemented
42#15668006C2211yescharacteristic, complemented
43#15668006C2211yescharacteristic, complemented
44#15668005C2211yescharacteristic, complemented
45#15668005C2211yescharacteristic, complemented
46#15668005C2211yescharacteristic, complemented
47#15668005C2211yescharacteristic, complemented
48#15668005C2211yescharacteristic, complemented
49#15668004C2211yescharacteristic, complemented
50#15668002C2211yescharacteristic, complemented
51#15668002C2211yescharacteristic, complemented
52#15668002C2211yescharacteristic, complemented
53#15667999C2211yescharacteristic, complemented
54#15667999C2211yescharacteristic, complemented
55#15667999C2211yescharacteristic, complemented
56#15667998C2211yescharacteristic, complemented
57#15667998C2211yescharacteristic, complemented
58#15667998C2211yescharacteristic, complemented
59#15667997C2211yescharacteristic, complemented
60#15667996C2211yescharacteristic, complemented
61#15667996C2211yescharacteristic, complemented
62#15667995C2211yescharacteristic, complemented
63#15667995C2211yescharacteristic, complemented
64#15667995C2211yescharacteristic, complemented
65#15667995C2211yescharacteristic, complemented
66#15667994C2211yescharacteristic, complemented
67#15667994C2211yescharacteristic, complemented
68#15667994C2211yescharacteristic, complemented
69#15667994C2211yescharacteristic, complemented
70#15667994C2211yescharacteristic, complemented
71#15667993C2211yescharacteristic, complemented
72#15667993C2211yescharacteristic, complemented
73#15667993C2211yescharacteristic, complemented
74#15667993C2211yescharacteristic, complemented
75#15667993C2211yescharacteristic, complemented
76#15667993C2211yescharacteristic, complemented
77#15667993C2211yescharacteristic, complemented
78#15667993C2211yescharacteristic, complemented
79#15667993C2211yescharacteristic, complemented
80#15667993C2211yescharacteristic, complemented
81#15667993C2211yescharacteristic, complemented
82#15667993C2211yescharacteristic, complemented
83#15667993C2211yescharacteristic, complemented
84#15667993C2211yescharacteristic, complemented
85#15667993C2211yescharacteristic, complemented
86#15667993C2211yescharacteristic, complemented
87#15667991C2211yescharacteristic, complemented
88#15667991C2211yescharacteristic, complemented
89#15667991C2211yescharacteristic, complemented
90#15667990C2211yescharacteristic, complemented
91#15667990C2211yescharacteristic, complemented
92#15667990C2211yescharacteristic, complemented
93#15667989C2211yescharacteristic, complemented
94#15667989C2211yescharacteristic, complemented
95#15667989C2211yescharacteristic, complemented
96#15667989C2211yescharacteristic, complemented
97#15667989C2211yescharacteristic, complemented
98#15667989C2211yescharacteristic, complemented
99#15667986C2211yescharacteristic, complemented
100#15667985C2211yescharacteristic, complemented
101#15667985C2211yescharacteristic, complemented
102#15667985C2211yescharacteristic, complemented
103#15667984C2211yescharacteristic
104#15667984C2211yescharacteristic
105#15667984C2211yescharacteristic, complemented
106#15667984C2211yescharacteristic, complemented
107#15667984C2211yescharacteristic, complemented
108#15667984C2211yescharacteristic, complemented
109#15667984C2211yescharacteristic, complemented
110#15667984C2211yescharacteristic, complemented
111#15667984C2211yescharacteristic, complemented
112#15667984C2211yescharacteristic, complemented
113#15667984C2211yescharacteristic, complemented
114#15667984C2211yescharacteristic, complemented
115#15667984C2211yescharacteristic, complemented
116#15667984C2211yescharacteristic, complemented
117#15667984C2211yescharacteristic, complemented
118#15667984C2211yescharacteristic, complemented
119#15667984C2211yescharacteristic, complemented
120#15667984C2211yescharacteristic, complemented
121#15667984C2211yescharacteristic, complemented
122#15667984C2211yescharacteristic, complemented
123#15667984C2211yescharacteristic, complemented
124#15667984C2211yescharacteristic, complemented
125#15667983C2211yescharacteristic, complemented
126#15667983C2211yescharacteristic, complemented
127#15667983C2211yescharacteristic, complemented
128#15667983C2211yescharacteristic, complemented
129#15667983C2211yescharacteristic, complemented
130#15667983C2211yescharacteristic, complemented
131#15667981C2211yescharacteristic, complemented
132#15667981C2211yescharacteristic, complemented
133#15667981C2211yescharacteristic, complemented
134#15667981C2211yescharacteristic, complemented
135#15667981C2211yescharacteristic, complemented
136#15667981C2211yescharacteristic, complemented
137#15667980C2211yescharacteristic
138#15667980C2211yescharacteristic, complemented
139#15667980C2211yescharacteristic, complemented
140#15667980C2211yescharacteristic, complemented
141#15667980C2211yescharacteristic, complemented
142#15667980C2211yescharacteristic, complemented
143D4×Dic89C2211yescharacteristic, complemented
144D4×Dic89C2211yescharacteristic, complemented
145D4×Dic89C2211yescharacteristic, complemented
146D4×Dic89C2211yescharacteristic, complemented
147D4×Dic89C2211yescharacteristic, complemented
148D4×Dic89C2211yescharacteristic, complemented
149C4×C22⋊D89C2211yescharacteristic, complemented
150C4×C22⋊D89C2211yescharacteristic, complemented
151C4×C22⋊D89C2211yescharacteristic, complemented
152C4×C22⋊D89C2211yescharacteristic, complemented
153#15667972C2211yescharacteristic, complemented
154#15667972C2211yescharacteristic, complemented
155#15667972C2211yescharacteristic, complemented
156#15667972C2211yescharacteristic, complemented
157#15667969C2211yescharacteristic, complemented
158#15667968C2211yescharacteristic, complemented
159#15667968C2211yescharacteristic, complemented
160C2×#13083553C2211yescharacteristic, complemented
161C2×#13083553C2211yescharacteristic, complemented
162C2×#13083553C2211yescharacteristic, complemented
163C2×C22⋊Dic89C2211yescharacteristic, complemented
164C2×C22⋊Dic89C2211yescharacteristic, complemented
165C2×C22⋊Dic89C2211yescharacteristic, complemented
166C2×C22⋊Dic89C2211yescharacteristic, complemented
167C2×C22⋊Dic89C2211yescharacteristic, complemented
168C2×C22⋊Dic89C2211yescharacteristic, complemented
169C2×#13083551C2211yescharacteristic, complemented
170C22⋊C4×D89C2211yescharacteristic, complemented
171C22⋊C4×D89C2211yescharacteristic, complemented
172C22×D4×C89C2211yescharacteristic
173C22×D4×C89C2211yescharacteristic, complemented
174C22×D4×C89C2211yescharacteristic, complemented
175C22×D4×C89C2211yescharacteristic, complemented
176#127×C89C2211yescharacteristic, complemented
177#121×C89C2211yescharacteristic
178#121×C89C2211yescharacteristic, complemented
179#121×C89C2211yescharacteristic, complemented
180#121×C89C2211yescharacteristic, complemented
181#120×C89C2211yescharacteristic
182#120×C89C2211yescharacteristic, complemented
183#120×C89C2211yescharacteristic, complemented
184#120×C89C2211yescharacteristic, complemented
185C4×D4×C89C2211yescharacteristic, complemented
186C4×D4×C89C2211yescharacteristic, complemented
187C23×D89C2311yescharacteristic
188C23×D89C2311yescharacteristic
189#13083573—42no—
190#13083573—42no—
191#13083573—42no—
192C2×Dic178C2311yescharacteristic
193C2×Dic178C2311yescharacteristic
194C2×Dic178C2311yescharacteristic
195C2×D356C2311yescharacteristic
196C2×C22⋊D89—42no—
197C2×C22⋊D89—42no—
198C2×C22⋊D89—42no—
199C2×C22⋊D89C2311yescharacteristic
200C2×C22⋊D89C2311yescharacteristic
201C2×C22⋊D89C2311yescharacteristic
202C2×C22⋊D89C2311yescharacteristic
203C2×C22⋊D89C2311yescharacteristic
204C2×C22⋊D89C2311yescharacteristic
205C2×C22⋊D89C2311yescharacteristic
206C2×C22⋊D89C2311yescharacteristic
207C2×C22⋊D89C2311yescharacteristic
208C2×C22⋊D89C2311yescharacteristic
209C2×C22⋊D89C2311yescharacteristic
210C2×C22⋊D89C2311yescharacteristic
211C2×C22⋊D89C2311yescharacteristic
212C2×C22⋊D89C2311yescharacteristic
213C2×C22⋊D89C2311yescharacteristic
214C2×C22⋊D89C2311yescharacteristic
215C2×C22⋊D89C2311yescharacteristic
216C2×C22⋊D89C2311yescharacteristic
217C2×C22⋊D89C2311yescharacteristic
218C2×C22⋊D89C2311yescharacteristic
219D4×D89—42no—
220C22×Dic89—42no—
221C22×Dic89C2311yescharacteristic
222C22×Dic89C2311yescharacteristic
223C22×Dic89C2311yescharacteristic
224C22×Dic89C2311yescharacteristic
225C22×Dic89C2311yescharacteristic
226C22×Dic89C2311yescharacteristic
227C22×Dic89C2311yescharacteristic
228C22×Dic89C2311yescharacteristic
229C22×Dic89C2311yescharacteristic
230C22×Dic89C2311yescharacteristic
231C22×Dic89C2311yescharacteristic
232C22×Dic89C2311yescharacteristic
233C22×Dic89C2311yescharacteristic
234C22×Dic89C2311yescharacteristic
235C2×C4×D89C2311yescharacteristic
236C2×C4×D89C2311yescharacteristic
237C2×C4×D89C2311yescharacteristic
238C2×C4×D89C2311yescharacteristic
239C2×C4×D89C2311yescharacteristic
240C4⋊Dic89C2311yescharacteristic
241C4⋊Dic89C2311yescharacteristic
242C4⋊Dic89C2311yescharacteristic
243C4⋊Dic89C2311yescharacteristic
244C4⋊Dic89C2311yescharacteristic
245C4⋊Dic89C2311yescharacteristic
246#13083553C2311yescharacteristic
247#13083553C2311yescharacteristic
248#13083553C2311yescharacteristic
249#13083553C2311yescharacteristic
250#13083553C2311yescharacteristic
251#13083553C2311yescharacteristic
252#13083553C2311yescharacteristic
253#13083553C2311yescharacteristic
254#13083553C2311yescharacteristic
255#13083553C2311yescharacteristic
256#13083553C2311yescharacteristic
257#13083553C2311yescharacteristic
258#13083553C2311yescharacteristic
259#13083553C2311yescharacteristic
260#13083553C2311yescharacteristic
261#13083553C2311yescharacteristic
262#13083553C2311yescharacteristic
263#13083553C2311yescharacteristic
264#13083553C2311yescharacteristic
265#13083553C2311yescharacteristic
266#13083553C2311yescharacteristic
267#13083553C2311yescharacteristic
268C22⋊Dic89C2311yescharacteristic
269C22⋊Dic89C2311yescharacteristic
270C22⋊Dic89C2311yescharacteristic
271C22⋊Dic89C2311yescharacteristic
272C22⋊Dic89C2311yescharacteristic
273C22⋊Dic89C2311yescharacteristic
274C22⋊Dic89C2311yescharacteristic
275C22⋊Dic89C2311yescharacteristic
276C22⋊Dic89C2311yescharacteristic
277C22⋊Dic89C2311yescharacteristic
278C22⋊Dic89C2311yescharacteristic
279C22⋊Dic89C2311yescharacteristic
280C22⋊Dic89C2311yescharacteristic
281C22⋊Dic89C2311yescharacteristic
282C22⋊Dic89C2311yescharacteristic
283C22⋊Dic89C2311yescharacteristic
284C22⋊Dic89C2311yescharacteristic
285C22⋊Dic89C2311yescharacteristic
286C22⋊Dic89C2311yescharacteristic
287C22⋊Dic89C2311yescharacteristic
288C22⋊Dic89C2311yescharacteristic
289C22⋊Dic89C2311yescharacteristic
290C22⋊Dic89C2311yescharacteristic
291C22⋊Dic89C2311yescharacteristic
292C22⋊Dic89C2311yescharacteristic
293C22⋊Dic89C2311yescharacteristic
294C22⋊Dic89C2311yescharacteristic
295C22⋊Dic89C2311yescharacteristic
296#13083551C2311yescharacteristic
297#13083551C2311yescharacteristic
298#13083551C2311yescharacteristic
299#13083551C2311yescharacteristic
300#13083551C2311yescharacteristic
301#13083551C2311yescharacteristic
302#13083551C2311yescharacteristic
303#13083551C2311yescharacteristic
304#13083551C2311yescharacteristic
305#13083551C2311yescharacteristic
306#13083551C2311yescharacteristic
307#13083551C2311yescharacteristic
308#13083551C2311yescharacteristic
309#13083551C2311yescharacteristic
310C4×Dic89C2311yescharacteristic
311C4×Dic89C2311yescharacteristic
312C4×Dic89C2311yescharacteristic
313C4×Dic89C2311yescharacteristic
314C4×Dic89C2311yescharacteristic
315C24×C89C2311yescharacteristic
316C24×C89C2311yescharacteristic
317C24×C89C2311yescharacteristic
318C24×C89C2311yescharacteristic
319C2×D4×C89—42no—
320C2×D4×C89—42no—
321C2×D4×C89—42no—
322C2×D4×C89—42no—
323C2×D4×C89C2311yescharacteristic
324C2×D4×C89C2311yescharacteristic
325C2×D4×C89C2311yescharacteristic
326C2×D4×C89C2311yescharacteristic
327C2×D4×C89C2311yescharacteristic
328C2×D4×C89C2311yescharacteristic
329C2×D4×C89C2311yescharacteristic
330C2×D4×C89C2311yescharacteristic
331C2×D4×C89C2311yescharacteristic
332C2×D4×C89C2311yescharacteristic
333C2×D4×C89C2311yescharacteristic
334C2×D4×C89C2311yescharacteristic
335C2×D4×C89C2311yescharacteristic
336C2×D4×C89C2311yescharacteristic
337C2×D4×C89C2311yescharacteristic
338C2×D4×C89C2311yescharacteristic
339C22×C4×C89C2311yescharacteristic
340C22×C4×C89C2311yescharacteristic
341C22×C4×C89C2311yescharacteristic
342C22×C4×C89C2311yescharacteristic
343C4⋊C4×C89C2311yescharacteristic
344C4⋊C4×C89C2311yescharacteristic
345C22⋊C4×C89C2311yescharacteristic
346C22⋊C4×C89C2311yescharacteristic
347C22⋊C4×C89C2311yescharacteristic
348C22⋊C4×C89C2311yescharacteristic
349C22⋊C4×C89C2311yescharacteristic
350C22⋊C4×C89C2311yescharacteristic
351C22⋊C4×C89C2311yescharacteristic
352C22⋊C4×C89C2311yescharacteristic
353C42×C89C2311yescharacteristic
354C23×C89—22no—
355C23×C89—22no—
356C23×C89—22no—
357C23×C89—22no—
358C23×C89—41no—
359C23×C89—41no—
360C23×C89—41no—
361C23×C89—41no—
362C23×C89—41no—
363C23×C89—41no—
364C23×C89—41no—
365C23×C89—41no—
366C23×C89C2411yescharacteristic
367C23×C89C2411yescharacteristic
368C23×C89C2411yescharacteristic
369C23×C89C2411yescharacteristic
370C23×C89C2411yescharacteristic
371C23×C89C2411yescharacteristic
372C23×C89C2411yescharacteristic
373C23×C89C2411yescharacteristic
374C22×D89—22no—
375C22×D89—41no—
376C22×D89—41no—
377C22×D89—41no—
378C22×D89—41no—
379C22×D89—41no—
380C22×D89C2411yescharacteristic
381C22×D89C2411yescharacteristic
382C22×D89C2411yescharacteristic
383D4×C89—22no—
384D4×C89—22no—
385D4×C89—22no—
386D4×C89—22no—
387D4×C89—22no—
388D4×C89—22no—
389D4×C89—41no—
390D4×C89—41no—
391D4×C89—41no—
392D4×C89—41no—
393D4×C89—41no—
394D4×C89—41no—
395D4×C89—41no—
396D4×C89—41no—
397D4×C89—41no—
398D4×C89—41no—
399C2×C4×C89—41no—
400C2×C4×C89—41no—
401C2×C4×C89—41no—
402C2×C4×C89—41no—
403C2×C4×C89C2411yescharacteristic
404C2×C4×C89C2411yescharacteristic
405C2×C4×C89C2411yescharacteristic
406C2×C4×C89C2411yescharacteristic
407C2×C4×C89C2411yescharacteristic
408C2×C4×C89C2411yescharacteristic
409C2×C4×C89C2411yescharacteristic
410C22⋊D89—22no—
411C22⋊D89—22no—
412C22⋊D89—22no—
413C22⋊D89—22no—
414C22⋊D89—41no—
415C22⋊D89—41no—
416C22⋊D89—41no—
417C22⋊D89—41no—
418C22⋊D89—41no—
419C22⋊D89—41no—
420C22⋊D89—41no—
421C22⋊D89—41no—
422C22⋊D89—41no—
423C22⋊D89—41no—
424C22⋊D89—41no—
425C22⋊D89—41no—
426C22⋊D89—41no—
427C22⋊D89—41no—
428C22⋊D89—41no—
429C22⋊D89—41no—
430C2×Dic89—22no—
431C2×Dic89—22no—
432C2×Dic89—22no—
433C2×Dic89—41no—
434C2×Dic89—41no—
435C2×Dic89—41no—
436C2×Dic89—41no—
437C2×Dic89—41no—
438C2×Dic89—41no—
439C2×Dic89—41no—
440C2×Dic89—41no—
441C2×Dic89—41no—
442C2×Dic89—41no—
443C2×Dic89—41no—
444C2×Dic89C2411yescharacteristic
445C2×Dic89C2411yescharacteristic
446C2×Dic89C2411yescharacteristic
447C2×Dic89C2411yescharacteristic
448C2×Dic89C2411yescharacteristic
449C2×Dic89C2411yescharacteristic
450C2×Dic89C2411yescharacteristic
451C2×Dic89C2411yescharacteristic
452C2×Dic89C2411yescharacteristic
453C2×Dic89C2411yescharacteristic
454C2×Dic89C2411yescharacteristic
455C2×Dic89C2411yescharacteristic
456C2×Dic89C2411yescharacteristic
457D356—41no—
458C4×D89—41no—
459C4×D89—41no—
460C4×D89—41no—
461C4×D89—41no—
462C4×D89—41no—
463Dic178—41no—
464Dic178—41no—
465Dic178—41no—
466C22×C89—21no—
467C22×C89—21no—
468C22×C89—21no—
469C22×C89—21no—
470C22×C89—21no—
471C22×C89—21no—
472C22×C89—21no—
473C22×C89—21no—
474C22×C89—21no—
475C22×C89—21no—
476C22×C89—21no—
477C22×C89—21no—
478C22×C89—21no—
479C22×C89—21no—
480C22×C89—21no—
481C22×C89—21no—
482C22×C89—21no—
483C22×C89—21no—
484C22×C89—21no—
485C22×C89—21no—
486C22×C89—21no—
487C22×C89—21no—
488C22×C89—44no—
489C22×C89—82no—
490C22×C89—82no—
491C22×C89—82no—
492C22×C89H(5,𝔽2)12yes—
493C22×C89H(5,𝔽2)12yes—
494C22×C89C2511yescharacteristic
495C2×D89—21no—
496C2×D89—21no—
497C2×D89—21no—
498C2×D89—21no—
499C2×D89—21no—
500C2×D89—21no—
501C2×D89—21no—
502C2×D89—21no—
503C2×D89—21no—
504C2×D89—82no—
505C2×D89—82no—
506C4×C89—21no—
507C4×C89—21no—
508C4×C89—21no—
509C4×C89—21no—
510C4×C89—21no—
511C4×C89—21no—
512C4×C89—21no—
513Dic89—21no—
514Dic89—21no—
515Dic89—21no—
516Dic89—21no—
517Dic89—21no—
518Dic89—21no—
519Dic89—21no—
520Dic89—21no—
521Dic89—21no—
522Dic89—21no—
523Dic89—21no—
524Dic89—21no—
525Dic89—21no—
526C2×C89—22no—
527C2×C89—22no—
528C2×C89—41no—
529C2×C89—41no—
530C2×C89—41no—
531C2×C89—41no—
532C2×C89—41no—
533C2×C89—41no—
534C2×C89C2×H(5,𝔽2)11yescharacteristic
535C2×C89C2×H(5,𝔽2)11yescharacteristic
536C2×C89#58511yescharacteristic
537D89—41no—
538D89—41no—
539D89—41no—
540#3534—891nomaximal, Sylow
541C89#353411yescharacteristic, complemented, Sylow
542#562—891no—
543#562—891no—
544#560—891no—
545#560—891no—
546#553—891no—
547#553—891no—
548#551—891no—
549#551—891no—
550#546—891no—
551#546—891no—
552#546—891no—
553#546—891no—
554#546—891no—
555#546—891no—
556D42—891no—
557D42D8911yescharacteristic, complemented
558#540—891no—
559#540—891no—
560#539—891no—
561#539—891no—
562#539—891no—
563#538—891no—
564#538—891no—
565#538—891no—
566#537—891no—
567#534—891no—
568#534—891no—
569#534—891no—
570#525—891no—
571C2×#123—891no—
572C2×#121—891no—
573C2×#41—891no—
574C2×#41—891no—
575C2×#41—891no—
576C22×D4—891no—
577C22×D4—891no—
578C22×D4—891no—
579C22×D4—891no—
580C22×D4C2×D8911yescharacteristic
581C22×D4C2×D8911yescharacteristic, complemented
582C22×D4C2×D8911yescharacteristic, complemented
583C22×D4C2×D8911yescharacteristic, complemented
584C23×C4—891no—
585#127—891no—
586#127C2×D8911yescharacteristic, complemented
587#126—891no—
588#126—891no—
589#126—891no—
590#126—891no—
591#126—891no—
592#126—891no—
593#126—891no—
594#126—891no—
595#125—891no—
596#125—891no—
597#125—891no—
598#125—891no—
599#124—891no—
600#124—891no—
601#124—891no—
602#124—891no—
603#124—891no—
604#124—891no—
605#123—891no—
606#123—891no—
607#123—891no—
608#123—891no—
609#123—891no—
610#123—891no—
611#123—891no—
612#123—891no—
613#123—891no—
614#123—891no—
615#123—891no—
616#123—891no—
617#123—891no—
618#123—891no—
619#123—891no—
620#123—891no—
621#123—891no—
622#123—891no—
623#123—891no—
624#123—891no—
625#123—891no—
626#123—891no—
627#123—891no—
628#123—891no—
629#123—891no—
630#123—891no—
631#123—891no—
632#123—891no—
633C22⋊Q8—891no—
634C22⋊Q8—891no—
635C22⋊Q8—891no—
636C22⋊Q8—891no—
637C22⋊Q8—891no—
638C22⋊Q8—891no—
639C22⋊Q8—891no—
640C22⋊Q8—891no—
641C22⋊Q8—891no—
642C22⋊Q8—891no—
643C22⋊Q8—891no—
644C22⋊Q8—891no—
645#121—891no—
646#121—891no—
647#121—891no—
648#121—891no—
649#121—891no—
650#121—891no—
651#121—891no—
652#121—891no—
653#121—891no—
654#121—891no—
655#121—891no—
656#121—891no—
657#121—891no—
658#121—891no—
659#121—891no—
660#121—891no—
661#121—891no—
662#121—891no—
663#121—891no—
664#121—891no—
665#121—891no—
666#121—891no—
667#121—891no—
668#121—891no—
669#121—891no—
670#121—891no—
671#121—891no—
672#121—891no—
673#121—891no—
674#121—891no—
675#121—891no—
676#121—891no—
677#121C2×D8911yescharacteristic
678#121C2×D8911yescharacteristic, complemented
679#121C2×D8911yescharacteristic, complemented
680#121C2×D8911yescharacteristic, complemented
681#120—891no—
682#120—891no—
683#120—891no—
684#120—891no—
685#120—891no—
686#120—891no—
687#120—891no—
688#120—891no—
689#120—891no—
690#120—891no—
691#120—891no—
692#120—891no—
693#120C2×D8911yescharacteristic
694#120C2×D8911yescharacteristic, complemented
695#120C2×D8911yescharacteristic, complemented
696#120C2×D8911yescharacteristic, complemented
697C4×D4—891no—
698C4×D4—891no—
699C4×D4—891no—
700C4×D4—891no—
701C4×D4—891no—
702C4×D4—891no—
703C4×D4—891no—
704C4×D4—891no—
705C4×D4—891no—
706C4×D4—891no—
707C4×D4—891no—
708C4×D4—891no—
709C4×D4—891no—
710C4×D4—891no—
711C4×D4C2×D8911yescharacteristic, complemented
712C4×D4C2×D8911yescharacteristic, complemented
713#117—891no—
714#117—891no—
715#117—891no—
716C2×C4⋊C4—891no—
717C2×C4⋊C4—891no—
718C2×C4⋊C4—891no—
719C2×C22⋊C4—891no—
720C2×C22⋊C4—891no—
721C2×C22⋊C4—891no—
722C2×C22⋊C4—891no—
723C2×C22⋊C4—891no—
724C2×C22⋊C4—891no—
725C2×C22⋊C4—891no—
726C2×C22⋊C4—891no—
727C2×C22⋊C4—891no—
728C24—891no—
729C24—891no—
730C24C22×D8911yescharacteristic
731C24C22×D8911yescharacteristic
732C24C22×D8911yescharacteristic
733C24C22×D8911yescharacteristic
734#41—3562no—
735#41—3562no—
736#41—3562no—
737C2×Q8—891no—
738C2×Q8—891no—
739C2×Q8—891no—
740C2×D4—42no—
741C2×D4—42no—
742C2×D4—42no—
743C2×D4—42no—
744C2×D4—891no—
745C2×D4—891no—
746C2×D4—891no—
747C2×D4—891no—
748C2×D4—891no—
749C2×D4—891no—
750C2×D4—891no—
751C2×D4—891no—
752C2×D4—891no—
753C2×D4—891no—
754C2×D4—891no—
755C2×D4—891no—
756C2×D4—891no—
757C2×D4—891no—
758C2×D4—891no—
759C2×D4—891no—
760C2×D4—891no—
761C2×D4—891no—
762C2×D4—891no—
763C2×D4—891no—
764C2×D4—891no—
765C2×D4—3562no—
766C2×D4—3562no—
767C2×D4—3562no—
768C2×D4—3562no—
769C2×D4C22×D8911yescharacteristic
770C2×D4C22×D8911yescharacteristic
771C2×D4C22×D8911yescharacteristic
772C2×D4C22×D8911yescharacteristic
773C2×D4C22×D8911yescharacteristic
774C2×D4C22×D8911yescharacteristic
775C2×D4C22×D8911yescharacteristic
776C2×D4C22×D8911yescharacteristic
777C2×D4C22×D8911yescharacteristic
778C2×D4C22×D8911yescharacteristic
779C2×D4C22×D8911yescharacteristic
780C2×D4C22×D8911yescharacteristic
781C2×D4C22×D8911yescharacteristic
782C2×D4C22×D8911yescharacteristic
783C2×D4C22×D8911yescharacteristic
784C2×D4C22×D8911yescharacteristic
785C22×C4—891no—
786C22×C4—891no—
787C22×C4—891no—
788C22×C4—891no—
789C22×C4—891no—
790C22×C4—891no—
791C22×C4—891no—
792C22×C4—891no—
793C22×C4—891no—
794C22×C4—891no—
795C22×C4—891no—
796C22×C4—891no—
797C22×C4—891no—
798C22×C4—891no—
799C22×C4—891no—
800C22×C4—891no—
801C22×C4—891no—
802C22×C4—891no—
803C22×C4—891no—
804C22×C4—3562no—
805C22×C4C22×D8911yescharacteristic
806C22×C4C22×D8911yescharacteristic
807C22×C4C22×D8911yescharacteristic
808C22×C4C22×D8911yescharacteristic
809C4⋊C4—891no—
810C4⋊C4—891no—
811C4⋊C4—891no—
812C4⋊C4—891no—
813C4⋊C4—891no—
814C4⋊C4—891no—
815C4⋊C4—891no—
816C4⋊C4—891no—
817C4⋊C4—891no—
818C4⋊C4—891no—
819C4⋊C4—891no—
820C4⋊C4—891no—
821C4⋊C4—891no—
822C4⋊C4—891no—
823C4⋊C4—891no—
824C4⋊C4—891no—
825C4⋊C4—891no—
826C4⋊C4—891no—
827C4⋊C4—891no—
828C4⋊C4—891no—
829C4⋊C4—891no—
830C4⋊C4—891no—
831C4⋊C4—891no—
832C4⋊C4—891no—
833C4⋊C4—891no—
834C4⋊C4—891no—
835C4⋊C4—891no—
836C4⋊C4—891no—
837C4⋊C4C22×D8911yescharacteristic
838C4⋊C4C22×D8911yescharacteristic
839C22⋊C4—891no—
840C22⋊C4—891no—
841C22⋊C4—891no—
842C22⋊C4—891no—
843C22⋊C4—891no—
844C22⋊C4—891no—
845C22⋊C4—891no—
846C22⋊C4—891no—
847C22⋊C4—891no—
848C22⋊C4—891no—
849C22⋊C4—891no—
850C22⋊C4—891no—
851C22⋊C4—891no—
852C22⋊C4—891no—
853C22⋊C4—891no—
854C22⋊C4—891no—
855C22⋊C4—891no—
856C22⋊C4—891no—
857C22⋊C4—891no—
858C22⋊C4—891no—
859C22⋊C4—891no—
860C22⋊C4—891no—
861C22⋊C4—891no—
862C22⋊C4—891no—
863C22⋊C4—891no—
864C22⋊C4—891no—
865C22⋊C4—891no—
866C22⋊C4—891no—
867C22⋊C4—891no—
868C22⋊C4—891no—
869C22⋊C4—891no—
870C22⋊C4—891no—
871C22⋊C4—891no—
872C22⋊C4—891no—
873C22⋊C4—891no—
874C22⋊C4—891no—
875C22⋊C4—891no—
876C22⋊C4—891no—
877C22⋊C4—891no—
878C22⋊C4—891no—
879C22⋊C4—891no—
880C22⋊C4—891no—
881C22⋊C4C22×D8911yescharacteristic
882C22⋊C4C22×D8911yescharacteristic
883C22⋊C4C22×D8911yescharacteristic
884C22⋊C4C22×D8911yescharacteristic
885C22⋊C4C22×D8911yescharacteristic
886C22⋊C4C22×D8911yescharacteristic
887C22⋊C4C22×D8911yescharacteristic
888C22⋊C4C22×D8911yescharacteristic
889C42—891no—
890C42—891no—
891C42—891no—
892C42—891no—
893C42—891no—
894C42C22×D8911yescharacteristic
895C23—22no—
896C23—22no—
897C23—22no—
898C23—22no—
899C23—41no—
900C23—41no—
901C23—41no—
902C23—41no—
903C23—41no—
904C23—41no—
905C23—41no—
906C23—41no—
907C23—891no—
908C23—891no—
909C23—891no—
910C23—3561no—
911C23—3561no—
912C23—3561no—
913C23—3561no—
914C23—3561no—
915C23—1782no—
916C23C23×D8911yescharacteristic
917C23C23×D8911yescharacteristic
918C23C23×D8911yescharacteristic
919C23C23×D8911yescharacteristic
920C23C23×D8911yescharacteristic
921C23C23×D8911yescharacteristic
922C23C23×D8911yescharacteristic
923C23C23×D8911yescharacteristic
924Q8—3561no—
925Q8—3561no—
926Q8—3561no—
927D4—22no—
928D4—22no—
929D4—22no—
930D4—22no—
931D4—22no—
932D4—22no—
933D4—41no—
934D4—41no—
935D4—41no—
936D4—41no—
937D4—41no—
938D4—41no—
939D4—41no—
940D4—41no—
941D4—41no—
942D4—41no—
943D4—3561no—
944D4—3561no—
945D4—3561no—
946D4—3561no—
947D4—3561no—
948D4—3561no—
949D4—3561no—
950D4—3561no—
951D4—3561no—
952D4—3561no—
953D4—3561no—
954D4—3561no—
955D4—3561no—
956D4—3561no—
957D4—3561no—
958D4—3561no—
959D4—3561no—
960D4—1782no—
961D4—1782no—
962D4—1782no—
963D4—1782no—
964C2×C4—41no—
965C2×C4—41no—
966C2×C4—41no—
967C2×C4—41no—
968C2×C4—891no—
969C2×C4—891no—
970C2×C4—891no—
971C2×C4—891no—
972C2×C4—891no—
973C2×C4—891no—
974C2×C4—891no—
975C2×C4—891no—
976C2×C4—891no—
977C2×C4—891no—
978C2×C4—891no—
979C2×C4—891no—
980C2×C4—891no—
981C2×C4—3561no—
982C2×C4—3561no—
983C2×C4—3561no—
984C2×C4—3561no—
985C2×C4—3561no—
986C2×C4—3561no—
987C2×C4—3561no—
988C2×C4—3561no—
989C2×C4—3561no—
990C2×C4—3561no—
991C2×C4—3561no—
992C2×C4—3561no—
993C2×C4—3561no—
994C2×C4—3561no—
995C2×C4—3561no—
996C2×C4—3561no—
997C2×C4—1782no—
998C2×C4—1782no—
999C2×C4—1782no—
1000C2×C4C23×D8911yescharacteristic
1001C2×C4C23×D8911yescharacteristic
1002C2×C4C23×D8911yescharacteristic
1003C2×C4C23×D8911yescharacteristic
1004C2×C4C23×D8911yescharacteristic
1005C2×C4C23×D8911yescharacteristic
1006C2×C4C23×D8911yescharacteristic
1007C22—21no—
1008C22—21no—
1009C22—21no—
1010C22—21no—
1011C22—21no—
1012C22—21no—
1013C22—21no—
1014C22—21no—
1015C22—21no—
1016C22—21no—
1017C22—21no—
1018C22—21no—
1019C22—21no—
1020C22—21no—
1021C22—21no—
1022C22—21no—
1023C22—21no—
1024C22—21no—
1025C22—21no—
1026C22—21no—
1027C22—21no—
1028C22—21no—
1029C22—44no—
1030C22—82no—
1031C22—82no—
1032C22—82no—
1033C22—1781no—
1034C22—1781no—
1035C22—1781no—
1036C22—1781no—
1037C22—1781no—
1038C22—1781no—
1039C22—1781no—
1040C22—1781no—
1041C22—1781no—
1042C22—7122no—
1043C22—7122no—
1044C22#1566805712yes—
1045C22#1566805712yes—
1046C22C24×D8911yescharacteristic
1047C4—21no—
1048C4—21no—
1049C4—21no—
1050C4—21no—
1051C4—21no—
1052C4—21no—
1053C4—21no—
1054C4—1781no—
1055C4—1781no—
1056C4—1781no—
1057C4—1781no—
1058C4—1781no—
1059C4—1781no—
1060C4—1781no—
1061C4—1781no—
1062C4—1781no—
1063C4—1781no—
1064C4—1781no—
1065C4—1781no—
1066C4—1781no—
1067C2—22no—
1068C2—22no—
1069C2—41no—
1070C2—41no—
1071C2—41no—
1072C2—41no—
1073C2—41no—
1074C2—41no—
1075C2—3561no—
1076C2—3561no—
1077C2—3561no—
1078C2C2×#1566805711yescharacteristic
1079C2C2×#1566805711yescharacteristic
1080C2#1915243311yescharacteristic
subgroupG/H
center, FrattiniC22C24×D89
commutator, socle, cosocleC22×C89C25
FittingD42×C89C2
hypercenterD42D89
hypocenterC89#3534
LCSG ▷ C22×C89 ▷ C89
UCSC1 ◁ C22 ◁ D42

Complements

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

NH ≅ G/Ntype
1. #19152343C2semidirect
2. #19152343C2semidirect
3. #19152337C2semidirect
4. #19152335C2semidirect
5. #19152297C2semidirect
6. #19152291C2semidirect
7. #19152279C2semidirect
8. #19152277C2semidirect
9. #19152242C2semidirect
10. #19152242C2semidirect
11. #19152242C2semidirect
12. #19152237C2semidirect
13. #19152235C2semidirect
14. #19152235C2semidirect
15. D4×C22⋊D89C2semidirect
16. #19152202C2semidirect
17. #19152198C2semidirect
18. #19152193C2semidirect
19. #19152190C2semidirect
20. #19152190C2semidirect
21. #19152183C2semidirect
22. #19152183C2semidirect
23. #19152180C2semidirect
24. #19152175C2semidirect
25. #19152158C2semidirect
26. #19152157C2semidirect
27. #19152157C2semidirect
28. #19152104C2semidirect
29. C2×#15667993C2semidirect
30. C2×#15667984C2semidirect
31. D42×C89C2semidirect
32. C2×#13083573C22semidirect
33. C2×#13083573C22semidirect
34. C2×#13083573C22semidirect
35. C22×C22⋊D89C22semidirect
36. C22×C22⋊D89C22semidirect
37. C22×C22⋊D89C22semidirect
38. C2×D4×D89C22semidirect
39. C23×Dic89C22semidirect
40. #15668008C22semidirect
41. #15668007C22semidirect
42. #15668006C22semidirect
43. #15668006C22semidirect
44. #15668005C22semidirect
45. #15668005C22semidirect
46. #15668005C22semidirect
47. #15668005C22semidirect
48. #15668005C22semidirect
49. #15668004C22semidirect
50. #15668002C22semidirect
51. #15668002C22semidirect
52. #15668002C22semidirect
53. #15667999C22semidirect
54. #15667999C22semidirect
55. #15667999C22semidirect
56. #15667998C22semidirect
57. #15667998C22semidirect
58. #15667998C22semidirect
59. #15667997C22semidirect
60. #15667996C22semidirect
61. #15667996C22semidirect
62. #15667995C22semidirect
63. #15667995C22semidirect
64. #15667995C22semidirect
65. #15667995C22semidirect
66. #15667994C22semidirect
67. #15667994C22semidirect
68. #15667994C22semidirect
69. #15667994C22semidirect
70. #15667994C22semidirect
71. #15667993C22semidirect
72. #15667993C22semidirect
73. #15667993C22semidirect
74. #15667993C22semidirect
75. #15667993C22semidirect
76. #15667993C22semidirect
77. #15667993C22semidirect
78. #15667993C22semidirect
79. #15667993C22semidirect
80. #15667993C22semidirect
81. #15667993C22semidirect
82. #15667993C22semidirect
83. #15667993C22semidirect
84. #15667993C22semidirect
85. #15667993C22semidirect
86. #15667993C22semidirect
87. #15667991C22semidirect
88. #15667991C22semidirect
89. #15667991C22semidirect
90. #15667990C22semidirect
91. #15667990C22semidirect
92. #15667990C22semidirect
93. #15667989C22semidirect
94. #15667989C22semidirect
95. #15667989C22semidirect
96. #15667989C22semidirect
97. #15667989C22semidirect
98. #15667989C22semidirect
99. #15667986C22semidirect
100. #15667985C22semidirect
101. #15667985C22semidirect
102. #15667985C22semidirect
105. #15667984C22semidirect
106. #15667984C22semidirect
107. #15667984C22semidirect
108. #15667984C22semidirect
109. #15667984C22semidirect
110. #15667984C22semidirect
111. #15667984C22semidirect
112. #15667984C22semidirect
113. #15667984C22semidirect
114. #15667984C22semidirect
115. #15667984C22semidirect
116. #15667984C22semidirect
117. #15667984C22semidirect
118. #15667984C22semidirect
119. #15667984C22semidirect
120. #15667984C22semidirect
121. #15667984C22semidirect
122. #15667984C22semidirect
123. #15667984C22semidirect
124. #15667984C22semidirect
125. #15667983C22semidirect
126. #15667983C22semidirect
127. #15667983C22semidirect
128. #15667983C22semidirect
129. #15667983C22semidirect
130. #15667983C22semidirect
131. #15667981C22semidirect
132. #15667981C22semidirect
133. #15667981C22semidirect
134. #15667981C22semidirect
135. #15667981C22semidirect
136. #15667981C22semidirect
138. #15667980C22semidirect
139. #15667980C22semidirect
140. #15667980C22semidirect
141. #15667980C22semidirect
142. #15667980C22semidirect
143. D4×Dic89C22semidirect
144. D4×Dic89C22semidirect
145. D4×Dic89C22semidirect
146. D4×Dic89C22semidirect
147. D4×Dic89C22semidirect
148. D4×Dic89C22semidirect
149. C4×C22⋊D89C22semidirect
150. C4×C22⋊D89C22semidirect
151. C4×C22⋊D89C22semidirect
152. C4×C22⋊D89C22semidirect
153. #15667972C22semidirect
154. #15667972C22semidirect
155. #15667972C22semidirect
156. #15667972C22semidirect
157. #15667969C22semidirect
158. #15667968C22semidirect
159. #15667968C22semidirect
160. C2×#13083553C22semidirect
161. C2×#13083553C22semidirect
162. C2×#13083553C22semidirect
163. C2×C22⋊Dic89C22semidirect
164. C2×C22⋊Dic89C22semidirect
165. C2×C22⋊Dic89C22semidirect
166. C2×C22⋊Dic89C22semidirect
167. C2×C22⋊Dic89C22semidirect
168. C2×C22⋊Dic89C22semidirect
169. C2×#13083551C22semidirect
170. C22⋊C4×D89C22semidirect
171. C22⋊C4×D89C22semidirect
173. C22×D4×C89C22semidirect
174. C22×D4×C89C22semidirect
175. C22×D4×C89C22semidirect
176. #127×C89C22semidirect
178. #121×C89C22semidirect
179. #121×C89C22semidirect
180. #121×C89C22semidirect
182. #120×C89C22semidirect
183. #120×C89C22semidirect
184. #120×C89C22semidirect
185. C4×D4×C89C22semidirect
186. C4×D4×C89C22semidirect
541. C89#3534semidirect
557. D42D89semidirect
581. C22×D4C2×D89semidirect
582. C22×D4C2×D89semidirect
583. C22×D4C2×D89semidirect
586. #127C2×D89semidirect
678. #121C2×D89semidirect
679. #121C2×D89semidirect
680. #121C2×D89semidirect
694. #120C2×D89semidirect
695. #120C2×D89semidirect
696. #120C2×D89semidirect
711. C4×D4C2×D89semidirect
712. C4×D4C2×D89semidirect

Maximal subgroups

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

subgroupindex
#191523432
#191523372
#191523352
#191522972
#191522912
#191522792
#191522772
#191522422
#191522372
#191522352
D4×C22⋊D892
#191522022
#191521982
#191521932
#191521902
#191521832
#191521802
#191521752
#191521582
#191521572
#191521042
C2×#156679932
C2×#156679842
D42×C892
#353489