Finite Group Databasebeta

← #36761822

Subgroups — #36761822

Order 22784.

2782 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152183C211yesmaximal, characteristic, complemented
2C2×#19152157C211yesmaximal, characteristic, complemented
3#26028595C211yesmaximal, characteristic, complemented
4#26028549C211yesmaximal, characteristic, complemented
5#26027108C211yesmaximal, characteristic, complemented
6#26027102C211yesmaximal, characteristic, complemented
7#26027000C211yesmaximal, characteristic, complemented
8#26026994C211yesmaximal, characteristic, complemented
9#26026947C211yesmaximal, characteristic, complemented
10#26026941C211yesmaximal, characteristic, complemented
11#26026902C211yesmaximal, characteristic, complemented
12#26026896C211yesmaximal, characteristic, complemented
13#26026649C211yesmaximal, characteristic, complemented
14#26026643C211yesmaximal, characteristic, complemented
15#26026581C211yesmaximal, characteristic, complemented
16#26026579C211yesmaximal, characteristic, complemented
17#26026480C211yesmaximal, characteristic, complemented
18#26026474C211yesmaximal, characteristic, complemented
19#26026471C211yesmaximal, characteristic, complemented
20#26026469C211yesmaximal, characteristic, complemented
21#26026356C211yesmaximal, characteristic, complemented
22#26026182C211yesmaximal, characteristic, complemented
23#26025216C211yesmaximal, characteristic, complemented
24#26025210C211yesmaximal, characteristic, complemented
25#26023691C211yesmaximal, characteristic, complemented
26#26023689C211yesmaximal, characteristic, complemented
27#26023627C211yesmaximal, characteristic, complemented
28#26023626C211yesmaximal, characteristic, complemented
29#26023620C211yesmaximal, characteristic, complemented
30C2×#19151486C211yesmaximal, characteristic, complemented
31C89×#2410C211yesmaximal, characteristic, complemented
32C23×C22⋊D89C2211yescharacteristic
33#19152183—28no—
34#19152157—28no—
35C2×#15668008C2211yescharacteristic, complemented
36C2×#15668005C2211yescharacteristic, complemented
37C2×#15668005C2211yescharacteristic, complemented
38C2×#15667999C2211yescharacteristic, complemented
39C2×#15667998C2211yescharacteristic, complemented
40C2×#15667998C2211yescharacteristic, complemented
41C2×#15667995C2211yescharacteristic
42C2×#15667995C2211yescharacteristic
43C2×#15667994C2211yescharacteristic, complemented
44C2×#15667993C2211yescharacteristic
45C2×#15667993C2211yescharacteristic
46C2×#15667993C2211yescharacteristic, complemented
47C2×#15667989C2211yescharacteristic, complemented
48C2×#15667986C2211yescharacteristic, complemented
49C2×#15667986C2211yescharacteristic, complemented
50C2×#15667985C2211yescharacteristic, complemented
51C2×#15667984C2211yescharacteristic
52C2×#15667984C2211yescharacteristic
53C2×#15667984C2211yescharacteristic
54C2×#15667984C2211yescharacteristic
55C2×#15667984C2211yescharacteristic, complemented
56C2×#15667984C2211yescharacteristic, complemented
57C2×#15667984C2211yescharacteristic, complemented
58C2×#15667984C2211yescharacteristic, complemented
59C2×#15667984C2211yescharacteristic, complemented
60C2×#15667984C2211yescharacteristic, complemented
61C2×#15667984C2211yescharacteristic, complemented
62C2×#15667983C2211yescharacteristic, complemented
63C2×#15667982C2211yescharacteristic, complemented
64C2×#15667981C2211yescharacteristic
65C2×#15667981C2211yescharacteristic
66C2×#15667981C2211yescharacteristic
67C2×#15667981C2211yescharacteristic, complemented
68C2×#15667980C2211yescharacteristic
69C2×#15667980C2211yescharacteristic
70C2×#15667980C2211yescharacteristic, complemented
71C2×D4×Dic89C2211yescharacteristic, complemented
72C2×#15667972C2211yescharacteristic, complemented
73C22×#13083553C2211yescharacteristic, complemented
74C22×C22⋊Dic89C2211yescharacteristic
75C22×C22⋊Dic89C2211yescharacteristic
76C22×C4×Dic89C2211yescharacteristic, complemented
77#19151540C2211yescharacteristic, complemented
78#19151539C2211yescharacteristic, complemented
79#19151534C2211yescharacteristic, complemented
80#19151534C2211yescharacteristic, complemented
81#19151533C2211yescharacteristic, complemented
82#19151533C2211yescharacteristic, complemented
83#19151532C2211yescharacteristic, complemented
84#19151531C2211yescharacteristic, complemented
85#19151527C2211yescharacteristic, complemented
86#19151527C2211yescharacteristic, complemented
87#19151526C2211yescharacteristic, complemented
88#19151526C2211yescharacteristic, complemented
89#19151522C2211yescharacteristic, complemented
90#19151521C2211yescharacteristic, complemented
91#19151521C2211yescharacteristic, complemented
92#19151520C2211yescharacteristic, complemented
93#19151516C2211yescharacteristic, complemented
94#19151514C2211yescharacteristic
95#19151514C2211yescharacteristic
96#19151514C2211yescharacteristic, complemented
97#19151514C2211yescharacteristic, complemented
98#19151513C2211yescharacteristic
99#19151513C2211yescharacteristic
100#19151513C2211yescharacteristic, complemented
101#19151513C2211yescharacteristic, complemented
102#19151513C2211yescharacteristic, complemented
103#19151513C2211yescharacteristic, complemented
104#19151512C2211yescharacteristic
105#19151512C2211yescharacteristic
106#19151512C2211yescharacteristic, complemented
107#19151511C2211yescharacteristic, complemented
108#19151510C2211yescharacteristic, complemented
109#19151507C2211yescharacteristic
110#19151507C2211yescharacteristic
111#19151507C2211yescharacteristic, complemented
112#19151507C2211yescharacteristic, complemented
113#19151507C2211yescharacteristic, complemented
114#19151506C2211yescharacteristic
115#19151506C2211yescharacteristic
116#19151506C2211yescharacteristic
117#19151506C2211yescharacteristic
118#19151506C2211yescharacteristic, complemented
119#19151506C2211yescharacteristic, complemented
120#19151506C2211yescharacteristic, complemented
121#19151502C2211yescharacteristic, complemented
122#19151501C2211yescharacteristic, complemented
123#19151499C2211yescharacteristic, complemented
124#19151498C2211yescharacteristic, complemented
125#19151498C2211yescharacteristic, complemented
126#19151498C2211yescharacteristic, complemented
127#19151498C2211yescharacteristic, complemented
128#19151498C2211yescharacteristic, complemented
129#19151498C2211yescharacteristic, complemented
130#19151498C2211yescharacteristic, complemented
131#19151495C2211yescharacteristic, complemented
132#19151493C2211yescharacteristic, complemented
133#19151492C2211yescharacteristic, complemented
134#19151491C2211yescharacteristic, complemented
135#19151491C2211yescharacteristic, complemented
136#19151490C2211yescharacteristic, complemented
137#19151488C2211yescharacteristic, complemented
138#19151487C2211yescharacteristic, complemented
139#19151487C2211yescharacteristic, complemented
140#19151486C2211yescharacteristic, complemented
141#19151486C2211yescharacteristic, complemented
142#19151486C2211yescharacteristic, complemented
143#19151486C2211yescharacteristic, complemented
144#19151486C2211yescharacteristic, complemented
145#19151486C2211yescharacteristic, complemented
146#19151486C2211yescharacteristic, complemented
147#19151486C2211yescharacteristic, complemented
148#19151486C2211yescharacteristic, complemented
149#19151478C2211yescharacteristic, complemented
150#19151478C2211yescharacteristic, complemented
151#19151478C2211yescharacteristic, complemented
152#19151478C2211yescharacteristic, complemented
153#19151477C2211yescharacteristic, complemented
154#19151477C2211yescharacteristic, complemented
155#19151477C2211yescharacteristic, complemented
156#19151476C2211yescharacteristic, complemented
157#19151475C2211yescharacteristic, complemented
158#19151475C2211yescharacteristic, complemented
159#19151475C2211yescharacteristic, complemented
160#19151475C2211yescharacteristic, complemented
161#19151474C2211yescharacteristic, complemented
162#19151473C2211yescharacteristic, complemented
163#19151471C2211yescharacteristic, complemented
164#19151470C2211yescharacteristic, complemented
165#19151467C2211yescharacteristic, complemented
166#19151462C2211yescharacteristic, complemented
167#19151457C2211yescharacteristic, complemented
168#19151456C2211yescharacteristic, complemented
169#19151454C2211yescharacteristic, complemented
170#19151453C2211yescharacteristic, complemented
171#19151453C2211yescharacteristic, complemented
172C2×#15667919C2211yescharacteristic, complemented
173C2×#15667919C2211yescharacteristic, complemented
174C23×D4×C89C2211yescharacteristic
175C2×#121×C89C2211yescharacteristic, complemented
176C2×#121×C89C2211yescharacteristic, complemented
177C2×#120×C89C2211yescharacteristic
178C2×#120×C89C2211yescharacteristic, complemented
179C22×C22⋊C4×C89C2211yescharacteristic
180#394×C89C2211yescharacteristic
181#394×C89C2211yescharacteristic
182#392×C89C2211yescharacteristic
183#392×C89C2211yescharacteristic
184#386×C89C2211yescharacteristic, complemented
185#386×C89C2211yescharacteristic, complemented
186#386×C89C2211yescharacteristic, complemented
187#385×C89C2211yescharacteristic, complemented
188#379×C89C2211yescharacteristic, complemented
189C24×D89C2311yescharacteristic
190C22×Dic178C2311yescharacteristic
191C22×D356C2311yescharacteristic
192C22×D356C2311yescharacteristic
193C22×C22⋊D89—24no—
194C22×C22⋊D89—42no—
195C22×C22⋊D89—42no—
196C22×C22⋊D89C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C22×C22⋊D89C2311yescharacteristic
201C22×C22⋊D89C2311yescharacteristic
202C22×C22⋊D89C2311yescharacteristic
203C22×C22⋊D89C2311yescharacteristic
204C22×C22⋊D89C2311yescharacteristic
205C22×C22⋊D89C2311yescharacteristic
206C22×C22⋊D89C2311yescharacteristic
207C22×C22⋊D89C2311yescharacteristic
208C22×C22⋊D89C2311yescharacteristic
209C22×C22⋊D89C2311yescharacteristic
210C22×C22⋊D89C2311yescharacteristic
211C22×C22⋊D89C2311yescharacteristic
212C23×Dic89C2311yescharacteristic
213C23×Dic89C2311yescharacteristic
214C23×Dic89C2311yescharacteristic
215C23×Dic89C2311yescharacteristic
216C23×Dic89C2311yescharacteristic
217C23×Dic89C2311yescharacteristic
218C22×C4×D89C2311yescharacteristic
219#15668008—42no—
220#15668005—24no—
221#15668005—24no—
222#15667999—24no—
223#15667998—24no—
224#15667998—42no—
225#15667995—24no—
226#15667995—24no—
227#15667994—24no—
228#15667993—24no—
229#15667993—24no—
230#15667993—24no—
231#15667989—24no—
232#15667986—42no—
233#15667986—42no—
234#15667985—42no—
235#15667984—24no—
236#15667984—24no—
237#15667984—24no—
238#15667984—24no—
239#15667984—24no—
240#15667984—24no—
241#15667984—42no—
242#15667984—42no—
243#15667984—42no—
244#15667984—42no—
245#15667984—42no—
246#15667983—24no—
247#15667982—42no—
248#15667981—24no—
249#15667981—24no—
250#15667981—24no—
251#15667981—42no—
252#15667980—24no—
253#15667980—24no—
254#15667980—42no—
255D4×Dic89—24no—
256#15667972—24no—
257C2×C4⋊Dic89C2311yescharacteristic
258C2×C4⋊Dic89C2311yescharacteristic
259C2×C4⋊Dic89C2311yescharacteristic
260C2×C4⋊Dic89C2311yescharacteristic
261C2×#13083553—42no—
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×C22⋊Dic89—42no—
279C2×C22⋊Dic89D418yescomplemented
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×C22⋊Dic89C2311yescharacteristic
301C2×C22⋊Dic89C2311yescharacteristic
302C2×C22⋊Dic89C2311yescharacteristic
303C2×C22⋊Dic89C2311yescharacteristic
304C2×C22⋊Dic89C2311yescharacteristic
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×#13083551C2311yescharacteristic
319C2×#13083551C2311yescharacteristic
320C2×#13083551C2311yescharacteristic
321C2×#13083551C2311yescharacteristic
322C2×#13083551C2311yescharacteristic
323C2×#13083551C2311yescharacteristic
324C2×#13083551C2311yescharacteristic
325C2×#13083551C2311yescharacteristic
326C2×#13083551C2311yescharacteristic
327C2×C4×Dic89—42no—
328C2×C4×Dic89C2311yescharacteristic
329C2×C4×Dic89C2311yescharacteristic
330C2×C4×Dic89C2311yescharacteristic
331C2×C4×Dic89C2311yescharacteristic
332C2×C4×Dic89C2311yescharacteristic
333C2×C4×Dic89C2311yescharacteristic
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
348#15667919C2311yescharacteristic
349#15667919C2311yescharacteristic
350#15667919C2311yescharacteristic
351#15667919C2311yescharacteristic
352#15667919C2311yescharacteristic
353#15667919C2311yescharacteristic
354C25×C89C2311yescharacteristic
355C25×C89C2311yescharacteristic
356C22×D4×C89—24no—
357C22×D4×C89—42no—
358C22×D4×C89—42no—
359C22×D4×C89C2311yescharacteristic
360C22×D4×C89C2311yescharacteristic
361C22×D4×C89C2311yescharacteristic
362C22×D4×C89C2311yescharacteristic
363C22×D4×C89C2311yescharacteristic
364C22×D4×C89C2311yescharacteristic
365C22×D4×C89C2311yescharacteristic
366C22×D4×C89C2311yescharacteristic
367C22×D4×C89C2311yescharacteristic
368C23×C4×C89C2311yescharacteristic
369C23×C4×C89C2311yescharacteristic
370C23×C4×C89C2311yescharacteristic
371#121×C89—42no—
372#121×C89—42no—
373#120×C89—24no—
374#120×C89—42no—
375C2×C4⋊C4×C89C2311yescharacteristic
376C2×C4⋊C4×C89C2311yescharacteristic
377C2×C22⋊C4×C89—42no—
378C2×C22⋊C4×C89C2311yescharacteristic
379C2×C22⋊C4×C89C2311yescharacteristic
380C2×C22⋊C4×C89C2311yescharacteristic
381C2×C22⋊C4×C89C2311yescharacteristic
382C2×C22⋊C4×C89C2311yescharacteristic
383C2×C22⋊C4×C89C2311yescharacteristic
384C2×C22⋊C4×C89C2311yescharacteristic
385C2×C22⋊C4×C89C2311yescharacteristic
386C2×C22⋊C4×C89C2311yescharacteristic
387C2×C22⋊C4×C89C2311yescharacteristic
388C2×C22⋊C4×C89C2311yescharacteristic
389C2×C22⋊C4×C89C2311yescharacteristic
390C2×C22⋊C4×C89C2311yescharacteristic
391C2×C22⋊C4×C89C2311yescharacteristic
392C2×C22⋊C4×C89C2311yescharacteristic
393#95×C89C2311yescharacteristic
394#95×C89C2311yescharacteristic
395#95×C89C2311yescharacteristic
396#95×C89C2311yescharacteristic
397C23×D89—22no—
398C23×D89—41no—
399C23×D89—41no—
400C23×D89—41no—
401C23×D89—41no—
402C23×D89—41no—
403C23×D89—41no—
404C23×D89C2411yescharacteristic
405C23×D89C2411yescharacteristic
406C23×D89C2411yescharacteristic
407C2×Dic178—22no—
408C2×Dic178—41no—
409C2×Dic178—41no—
410C2×D356—22no—
411C2×D356—41no—
412C2×D356—41no—
413C2×D356—41no—
414C2×D356—41no—
415C2×D356—41no—
416C2×C22⋊D89—22no—
417C2×C22⋊D89—22no—
418C2×C22⋊D89—22no—
419C2×C22⋊D89—22no—
420C2×C22⋊D89—22no—
421C2×C22⋊D89—22no—
422C2×C22⋊D89—22no—
423C2×C22⋊D89—22no—
424C2×C22⋊D89—22no—
425C2×C22⋊D89—22no—
426C2×C22⋊D89—22no—
427C2×C22⋊D89—22no—
428C2×C22⋊D89—22no—
429C2×C22⋊D89—22no—
430C2×C22⋊D89—22no—
431C2×C22⋊D89—22no—
432C2×C22⋊D89—22no—
433C2×C22⋊D89—22no—
434C2×C22⋊D89—22no—
435C2×C22⋊D89—22no—
436C2×C22⋊D89—41no—
437C2×C22⋊D89—41no—
438C2×C22⋊D89—41no—
439C2×C22⋊D89—41no—
440C2×C22⋊D89—41no—
441C2×C22⋊D89—41no—
442C2×C22⋊D89—41no—
443C2×C22⋊D89—41no—
444C2×C22⋊D89—41no—
445C2×C22⋊D89—41no—
446C2×C22⋊D89—41no—
447C2×C22⋊D89—41no—
448C2×C22⋊D89—41no—
449C2×C22⋊D89—41no—
450C2×C22⋊D89—41no—
451C2×C22⋊D89—41no—
452C2×C22⋊D89—41no—
453C2×C22⋊D89—41no—
454C2×C22⋊D89—41no—
455C2×C22⋊D89—41no—
456C2×C22⋊D89—41no—
457C2×C22⋊D89—41no—
458C2×C22⋊D89—41no—
459C2×C22⋊D89—41no—
460C2×C22⋊D89—41no—
461C2×C22⋊D89—41no—
462C2×C22⋊D89—41no—
463C2×C22⋊D89—41no—
464C2×C22⋊D89—416no—
465C22×Dic89—22no—
466C22×Dic89—22no—
467C22×Dic89—22no—
468C22×Dic89—22no—
469C22×Dic89—22no—
470C22×Dic89—41no—
471C22×Dic89—41no—
472C22×Dic89—41no—
473C22×Dic89—41no—
474C22×Dic89—41no—
475C22×Dic89—41no—
476C22×Dic89—41no—
477C22×Dic89—41no—
478C22×Dic89—41no—
479C22×Dic89—41no—
480C22×Dic89—41no—
481C22×Dic89C2×D414yes—
482C22×Dic89C2×D414yes—
483C22×Dic89C2411yescharacteristic
484C22×Dic89C2411yescharacteristic
485C22×Dic89C2411yescharacteristic
486C22×Dic89C2411yescharacteristic
487C22×Dic89C2411yescharacteristic
488C22×Dic89C2411yescharacteristic
489C22×Dic89C2411yescharacteristic
490C22×Dic89C2411yescharacteristic
491C22×Dic89C2411yescharacteristic
492C22×Dic89C2411yescharacteristic
493C22×Dic89C2411yescharacteristic
494C22×Dic89C2411yescharacteristic
495C22×Dic89C2411yescharacteristic
496C2×C4×D89—22no—
497C2×C4×D89—41no—
498C2×C4×D89—41no—
499C4⋊Dic89—22no—
500C4⋊Dic89—22no—
501C4⋊Dic89—41no—
502C4⋊Dic89—41no—
503#13083553—22no—
504#13083553—22no—
505#13083553—22no—
506#13083553—22no—
507#13083553—22no—
508#13083553—22no—
509#13083553—22no—
510#13083553—22no—
511#13083553—22no—
512#13083553—22no—
513#13083553—41no—
514#13083553—41no—
515#13083553—41no—
516#13083553—41no—
517#13083553—41no—
518#13083553—41no—
519C22⋊Dic89—22no—
520C22⋊Dic89—22no—
521C22⋊Dic89—22no—
522C22⋊Dic89—22no—
523C22⋊Dic89—22no—
524C22⋊Dic89—22no—
525C22⋊Dic89—22no—
526C22⋊Dic89—22no—
527C22⋊Dic89—22no—
528C22⋊Dic89—22no—
529C22⋊Dic89—22no—
530C22⋊Dic89—22no—
531C22⋊Dic89—41no—
532C22⋊Dic89—41no—
533C22⋊Dic89—41no—
534C22⋊Dic89—41no—
535C22⋊Dic89—41no—
536C22⋊Dic89—41no—
537C22⋊Dic89—41no—
538C22⋊Dic89—41no—
539C22⋊Dic89—41no—
540C22⋊Dic89C2×D414yes—
541C22⋊Dic89C2×D414yes—
542C22⋊Dic89C2×D414yes—
543C22⋊Dic89C2×D414yes—
544#13083551—22no—
545#13083551—22no—
546#13083551—22no—
547#13083551—22no—
548#13083551—22no—
549#13083551—22no—
550#13083551—22no—
551#13083551—22no—
552#13083551—41no—
553#13083551—41no—
554#13083551—41no—
555#13083551—41no—
556#13083551—41no—
557#13083551—41no—
558#13083551—41no—
559#13083551—41no—
560#13083551—41no—
561#13083551—41no—
562#13083551—41no—
563#13083551—41no—
564#13083551—41no—
565#13083551—41no—
566C4×Dic89—22no—
567C4×Dic89—22no—
568C4×Dic89—22no—
569C4×Dic89—22no—
570C4×Dic89—41no—
571C4×Dic89—41no—
572C24×C89—22no—
573C24×C89—22no—
574C24×C89—22no—
575C24×C89—41no—
576C24×C89—41no—
577C24×C89—41no—
578C24×C89—41no—
579C24×C89—41no—
580C24×C89—41no—
581C24×C89—41no—
582C24×C89—41no—
583C24×C89—41no—
584C24×C89—41no—
585C24×C89C2×D414yes—
586C24×C89C2411yescharacteristic
587C24×C89C2411yescharacteristic
588C24×C89C2411yescharacteristic
589C24×C89C2411yescharacteristic
590C24×C89C2411yescharacteristic
591C24×C89C2411yescharacteristic
592C2×D4×C89—22no—
593C2×D4×C89—22no—
594C2×D4×C89—22no—
595C2×D4×C89—22no—
596C2×D4×C89—22no—
597C2×D4×C89—22no—
598C2×D4×C89—22no—
599C2×D4×C89—22no—
600C2×D4×C89—22no—
601C2×D4×C89—22no—
602C2×D4×C89—22no—
603C2×D4×C89—22no—
604C2×D4×C89—22no—
605C2×D4×C89—22no—
606C2×D4×C89—41no—
607C2×D4×C89—41no—
608C2×D4×C89—41no—
609C2×D4×C89—41no—
610C2×D4×C89—41no—
611C2×D4×C89—41no—
612C2×D4×C89—41no—
613C2×D4×C89—41no—
614C2×D4×C89—41no—
615C2×D4×C89—41no—
616C2×D4×C89—41no—
617C2×D4×C89—41no—
618C2×D4×C89—41no—
619C2×D4×C89—416no—
620C22×C4×C89—22no—
621C22×C4×C89—22no—
622C22×C4×C89—22no—
623C22×C4×C89—22no—
624C22×C4×C89—41no—
625C22×C4×C89—41no—
626C22×C4×C89—41no—
627C22×C4×C89—41no—
628C22×C4×C89—41no—
629C22×C4×C89C2411yescharacteristic
630C22×C4×C89C2411yescharacteristic
631C22×C4×C89C2411yescharacteristic
632C22×C4×C89C2411yescharacteristic
633C22×C4×C89C2411yescharacteristic
634C22×C4×C89C2411yescharacteristic
635C22×C4×C89C2411yescharacteristic
636C22×C4×C89C2411yescharacteristic
637C22×C4×C89C2411yescharacteristic
638C4⋊C4×C89—41no—
639C4⋊C4×C89—41no—
640C22⋊C4×C89—22no—
641C22⋊C4×C89—22no—
642C22⋊C4×C89—22no—
643C22⋊C4×C89—22no—
644C22⋊C4×C89—22no—
645C22⋊C4×C89—22no—
646C22⋊C4×C89—41no—
647C22⋊C4×C89—41no—
648C22⋊C4×C89—41no—
649C22⋊C4×C89—41no—
650C22⋊C4×C89—41no—
651C22⋊C4×C89—41no—
652C22⋊C4×C89—41no—
653C22⋊C4×C89—41no—
654C22⋊C4×C89—41no—
655C23×C89—21no—
656C23×C89—21no—
657C23×C89—21no—
658C23×C89—21no—
659C23×C89—21no—
660C23×C89—21no—
661C23×C89—21no—
662C23×C89—21no—
663C23×C89—21no—
664C23×C89—21no—
665C23×C89—21no—
666C23×C89—21no—
667C23×C89—21no—
668C23×C89—21no—
669C23×C89—21no—
670C23×C89—21no—
671C23×C89—28no—
672C23×C89—21no—
673C23×C89—21no—
674C23×C89—21no—
675C23×C89—21no—
676C23×C89—21no—
677C23×C89—21no—
678C23×C89—21no—
679C23×C89—21no—
680C23×C89—21no—
681C23×C89—21no—
682C23×C89—21no—
683C23×C89—21no—
684C23×C89—21no—
685C23×C89—21no—
686C23×C89—21no—
687C23×C89—21no—
688C23×C89—21no—
689C23×C89—21no—
690C23×C89—21no—
691C23×C89—21no—
692C23×C89—21no—
693C23×C89—44no—
694C23×C89—44no—
695C23×C89—44no—
696C23×C89—82no—
697C23×C89—82no—
698C23×C89—82no—
699C23×C89—82no—
700C23×C89—82no—
701C23×C89—82no—
702C23×C89—82no—
703C23×C89—82no—
704C23×C89—82no—
705C23×C89—82no—
706C23×C89C22×D412yes—
707C23×C89C22×D412yes—
708C23×C89C22×D412yes—
709C23×C89H(5,𝔽2)12yes—
710C23×C89H(5,𝔽2)12yes—
711C23×C89C2511yescharacteristic
712C22×D89—21no—
713C22×D89—21no—
714C22×D89—21no—
715C22×D89—21no—
716C22×D89—21no—
717C22×D89—21no—
718C22×D89—21no—
719C22×D89—21no—
720C22×D89—21no—
721C22×D89—21no—
722C22×D89—21no—
723C22×D89—21no—
724C22×D89—21no—
725C22×D89—21no—
726C22×D89—21no—
727C22×D89—21no—
728C22×D89—21no—
729C22×D89—21no—
730C22×D89—21no—
731C22×D89—21no—
732C22×D89—21no—
733C22×D89—44no—
734C22×D89—82no—
735C22×D89—82no—
736C22×D89—82no—
737C22×D89—82no—
738C22×D89—82no—
739C22×D89—82no—
740D4×C89—44no—
741D4×C89—44no—
742D4×C89—44no—
743D4×C89—44no—
744D4×C89—44no—
745D4×C89—82no—
746D4×C89—82no—
747D4×C89—82no—
748D4×C89—82no—
749C2×C4×C89—21no—
750C2×C4×C89—21no—
751C2×C4×C89—21no—
752C2×C4×C89—21no—
753C2×C4×C89—21no—
754C2×C4×C89—21no—
755C2×C4×C89—21no—
756C2×C4×C89—21no—
757C2×C4×C89—21no—
758C2×C4×C89—21no—
759C2×C4×C89—21no—
760C2×C4×C89—21no—
761C2×C4×C89—21no—
762C2×C4×C89—21no—
763C2×C4×C89—21no—
764C2×C4×C89—21no—
765C2×C4×C89—21no—
766C2×C4×C89—21no—
767C2×C4×C89—21no—
768C2×C4×C89—21no—
769C2×C4×C89—21no—
770C2×C4×C89—21no—
771C2×C4×C89—21no—
772C2×C4×C89—21no—
773C2×C4×C89—21no—
774C2×C4×C89—21no—
775C2×C4×C89—44no—
776C2×C4×C89—44no—
777C2×C4×C89—82no—
778C2×C4×C89H(5,𝔽2)12yes—
779C22⋊D89—44no—
780C22⋊D89—44no—
781C22⋊D89—44no—
782C22⋊D89—44no—
783C22⋊D89—44no—
784C22⋊D89—82no—
785C22⋊D89—82no—
786C22⋊D89—82no—
787C22⋊D89—82no—
788C22⋊D89—82no—
789C22⋊D89—82no—
790C22⋊D89—82no—
791C22⋊D89—82no—
792C22⋊D89—82no—
793C22⋊D89—82no—
794C22⋊D89—82no—
795C2×Dic89—21no—
796C2×Dic89—21no—
797C2×Dic89—21no—
798C2×Dic89—21no—
799C2×Dic89—21no—
800C2×Dic89—21no—
801C2×Dic89—21no—
802C2×Dic89—21no—
803C2×Dic89—21no—
804C2×Dic89—21no—
805C2×Dic89—21no—
806C2×Dic89—21no—
807C2×Dic89—21no—
808C2×Dic89—21no—
809C2×Dic89—21no—
810C2×Dic89—21no—
811C2×Dic89—21no—
812C2×Dic89—21no—
813C2×Dic89—21no—
814C2×Dic89—21no—
815C2×Dic89—21no—
816C2×Dic89—21no—
817C2×Dic89—21no—
818C2×Dic89—21no—
819C2×Dic89—21no—
820C2×Dic89—21no—
821C2×Dic89—21no—
822C2×Dic89—21no—
823C2×Dic89—21no—
824C2×Dic89—21no—
825C2×Dic89—21no—
826C2×Dic89—21no—
827C2×Dic89—21no—
828C2×Dic89—21no—
829C2×Dic89—44no—
830C2×Dic89—44no—
831C2×Dic89—44no—
832C2×Dic89—44no—
833C2×Dic89—82no—
834C2×Dic89—82no—
835C2×Dic89C22×D412yes—
836C2×Dic89C22×D412yes—
837C2×Dic89C22×D412yes—
838C2×Dic89C22×D412yes—
839C2×Dic89H(5,𝔽2)12yes—
840D356—82no—
841D356—82no—
842C4×D89—82no—
843Dic178—82no—
844C22×C89—22no—
845C22×C89—22no—
846C22×C89—22no—
847C22×C89—22no—
848C22×C89—22no—
849C22×C89—22no—
850C22×C89—22no—
851C22×C89—22no—
852C22×C89—22no—
853C22×C89—22no—
854C22×C89—22no—
855C22×C89—22no—
856C22×C89—41no—
857C22×C89—41no—
858C22×C89—41no—
859C22×C89—41no—
860C22×C89—41no—
861C22×C89—41no—
862C22×C89—41no—
863C22×C89—41no—
864C22×C89—41no—
865C22×C89—41no—
866C22×C89—41no—
867C22×C89—41no—
868C22×C89—41no—
869C22×C89—41no—
870C22×C89—41no—
871C22×C89—41no—
872C22×C89—41no—
873C22×C89—41no—
874C22×C89—41no—
875C22×C89—41no—
876C22×C89—41no—
877C22×C89—41no—
878C22×C89—41no—
879C22×C89—41no—
880C22×C89—41no—
881C22×C89—41no—
882C22×C89—41no—
883C22×C89—41no—
884C22×C89—41no—
885C22×C89—88no—
886C22×C89—88no—
887C22×C89#53514yes—
888C22×C89C23×D411yescharacteristic
889C22×C89C2×H(5,𝔽2)11yescharacteristic
890C22×C89C2×H(5,𝔽2)11yescharacteristic
891C22×C89C2×H(5,𝔽2)11yescharacteristic
892C22×C89C2×H(5,𝔽2)11yescharacteristic
893C22×C89#58511yescharacteristic
894C22×C89#58511yescharacteristic
895C2×D89—41no—
896C2×D89—41no—
897C2×D89—41no—
898C2×D89—41no—
899C2×D89—41no—
900C2×D89—41no—
901C2×D89—41no—
902C2×D89—41no—
903C2×D89—41no—
904C2×D89—41no—
905C2×D89—41no—
906C2×D89—41no—
907C2×D89—41no—
908C2×D89—41no—
909C2×D89—41no—
910C2×D89—41no—
911C2×D89—41no—
912C2×D89—41no—
913C2×D89—41no—
914C2×D89—41no—
915C2×D89—41no—
916C2×D89—88no—
917C4×C89—22no—
918C4×C89—41no—
919C4×C89—41no—
920C4×C89—41no—
921C4×C89—41no—
922C4×C89—41no—
923C4×C89—41no—
924C4×C89—41no—
925C4×C89—41no—
926Dic89—22no—
927Dic89—22no—
928Dic89—22no—
929Dic89—22no—
930Dic89—22no—
931Dic89—41no—
932Dic89—41no—
933Dic89—41no—
934Dic89—41no—
935Dic89—41no—
936Dic89—41no—
937Dic89—41no—
938Dic89—41no—
939#36739—891nomaximal, Sylow
940C2×C89—24no—
941C2×C89—42no—
942C2×C89—42no—
943C2×C89—81no—
944C2×C89—81no—
945C2×C89—81no—
946C2×C89C2×#53511yescharacteristic
947C2×C89#349611yescharacteristic
948C2×C89#349611yescharacteristic
949C2×C89#353411yescharacteristic
950C2×C89#353711yescharacteristic
951C2×C89#355811yescharacteristic
952C2×C89#356011yescharacteristic
953D89—81no—
954D89—81no—
955D89—81no—
956C2×#538—891no—
957C2×#534—891no—
958#2856—891no—
959#2850—891no—
960#2718—891no—
961#2718—891no—
962#2710—891no—
963#2710—891no—
964#2706—891no—
965#2706—891no—
966#2703—891no—
967#2703—891no—
968#2685—891no—
969#2685—891no—
970#2678—891no—
971#2678—891no—
972#2670—891no—
973#2670—891no—
974#2669—891no—
975#2669—891no—
976#2656—891no—
977#2639—891no—
978#2543—891no—
979#2543—891no—
980#2416—891no—
981#2416—891no—
982#2410—891no—
983#2410—891no—
984#2410—891no—
985#2410D8911yescharacteristic, complemented
986C2×#388—891no—
987C89#3673911yescharacteristic, complemented, Sylow
988C23×D4—891no—
989C23×D4C2×D8911yescharacteristic
990#538—1788no—
991#534—1788no—
992C2×#127—891no—
993C2×#126—891no—
994C2×#126—891no—
995C2×#124—891no—
996C2×#124—891no—
997C2×#124—891no—
998C2×#123—891no—
999C2×#123—891no—
1000C2×#123—891no—
1001C2×#123—891no—
1002C2×#123—891no—
1003C2×#123—891no—
1004C2×C22⋊Q8—891no—
1005C2×#121—891no—
1006C2×#121—891no—
1007C2×#121—891no—
1008C2×#121—891no—
1009C2×#121—891no—
1010C2×#121—891no—
1011C2×#121—891no—
1012C2×#121—891no—
1013C2×#121—891no—
1014C2×#121—891no—
1015C2×#121—891no—
1016C2×#121—891no—
1017C2×#121—891no—
1018C2×#121—891no—
1019C2×#121—891no—
1020C2×#121C2×D8911yescharacteristic, complemented
1021C2×#121C2×D8911yescharacteristic, complemented
1022C2×#120—891no—
1023C2×#120—891no—
1024C2×#120—891no—
1025C2×#120—891no—
1026C2×#120—891no—
1027C2×#120—891no—
1028C2×#120—891no—
1029C2×#120—891no—
1030C2×#120C2×D8911yescharacteristic
1031C2×#120C2×D8911yescharacteristic, complemented
1032C2×C4×D4—891no—
1033C2×C4×D4—891no—
1034C22×C4⋊C4—891no—
1035C22×C22⋊C4—891no—
1036C22×C22⋊C4—891no—
1037C22×C22⋊C4C2×D8911yescharacteristic
1038C22×C42—891no—
1039#400—891no—
1040#400—891no—
1041#399—891no—
1042#399—891no—
1043#399—891no—
1044#399—891no—
1045#398—891no—
1046#398—891no—
1047#397—891no—
1048#397—891no—
1049#397—891no—
1050#397—891no—
1051#396—891no—
1052#396—891no—
1053#396—891no—
1054#396—891no—
1055#394—891no—
1056#394—891no—
1057#394—891no—
1058#394—891no—
1059#394—891no—
1060#394—891no—
1061#394—891no—
1062#394—891no—
1063#394—891no—
1064#394—891no—
1065#394—891no—
1066#394—891no—
1067#394—891no—
1068#394—891no—
1069#394C2×D8911yescharacteristic
1070#394C2×D8911yescharacteristic
1071#393—891no—
1072#393—891no—
1073#392—891no—
1074#392—891no—
1075#392—891no—
1076#392—891no—
1077#392—891no—
1078#392—891no—
1079#392—891no—
1080#392—891no—
1081#392—891no—
1082#392—891no—
1083#392—891no—
1084#392—891no—
1085#392C2×D8911yescharacteristic
1086#392C2×D8911yescharacteristic
1087#391—891no—
1088#390—891no—
1089#390—891no—
1090#390—891no—
1091#390—891no—
1092#390—891no—
1093#390—891no—
1094#390—891no—
1095#390—891no—
1096#390—891no—
1097#389—891no—
1098#389—891no—
1099#388—891no—
1100#388—891no—
1101#388—891no—
1102#388—891no—
1103#388—891no—
1104#388—891no—
1105#388—891no—
1106#388—891no—
1107#388—891no—
1108#388—891no—
1109#388—891no—
1110#388—891no—
1111#388—891no—
1112#388—891no—
1113#388—891no—
1114#388—891no—
1115#386—891no—
1116#386—891no—
1117#386—891no—
1118#386—891no—
1119#386—891no—
1120#386—891no—
1121#386—891no—
1122#386—891no—
1123#386—891no—
1124#386—891no—
1125#386—891no—
1126#386—891no—
1127#386—891no—
1128#386C2×D8911yescharacteristic, complemented
1129#386C2×D8911yescharacteristic, complemented
1130#386C2×D8911yescharacteristic, complemented
1131#385—891no—
1132#385—891no—
1133#385—891no—
1134#385C2×D8911yescharacteristic, complemented
1135#384—891no—
1136#382—891no—
1137#380—891no—
1138#380—891no—
1139#379—891no—
1140#379—891no—
1141#379—891no—
1142#379C2×D8911yescharacteristic, complemented
1143C2×#95—891no—
1144C2×#95—891no—
1145C25—891no—
1146C25C22×D8911yescharacteristic
1147C25C22×D8911yescharacteristic
1148C22×Q8—891no—
1149C22×D4—24no—
1150C22×D4—42no—
1151C22×D4—42no—
1152C22×D4—891no—
1153C22×D4—891no—
1154C22×D4—891no—
1155C22×D4—891no—
1156C22×D4—891no—
1157C22×D4—891no—
1158C22×D4—891no—
1159C22×D4—891no—
1160C22×D4—891no—
1161C22×D4—891no—
1162C22×D4—891no—
1163C22×D4—891no—
1164C22×D4—891no—
1165C22×D4—891no—
1166C22×D4—891no—
1167C22×D4—891no—
1168C22×D4—891no—
1169C22×D4—891no—
1170C22×D4—3562no—
1171C22×D4—3562no—
1172C22×D4—1784no—
1173C22×D4C22×D8911yescharacteristic
1174C22×D4C22×D8911yescharacteristic
1175C22×D4C22×D8911yescharacteristic
1176C22×D4C22×D8911yescharacteristic
1177C22×D4C22×D8911yescharacteristic
1178C22×D4C22×D8911yescharacteristic
1179C22×D4C22×D8911yescharacteristic
1180C22×D4C22×D8911yescharacteristic
1181C22×D4C22×D8911yescharacteristic
1182C23×C4—891no—
1183C23×C4—891no—
1184C23×C4—891no—
1185C23×C4—891no—
1186C23×C4—891no—
1187C23×C4—891no—
1188C23×C4—891no—
1189C23×C4C22×D8911yescharacteristic
1190C23×C4C22×D8911yescharacteristic
1191C23×C4C22×D8911yescharacteristic
1192#127—3562no—
1193#126—1784no—
1194#126—1784no—
1195#124—3562no—
1196#124—1784no—
1197#124—1784no—
1198#123—1784no—
1199#123—1784no—
1200#123—1784no—
1201#123—1784no—
1202#123—1784no—
1203#123—1784no—
1204C22⋊Q8—1784no—
1205#121—42no—
1206#121—42no—
1207#121—3562no—
1208#121—3562no—
1209#121—3562no—
1210#121—3562no—
1211#121—3562no—
1212#121—3562no—
1213#121—3562no—
1214#121—3562no—
1215#121—1784no—
1216#121—1784no—
1217#121—1784no—
1218#121—1784no—
1219#121—1784no—
1220#121—1784no—
1221#121—1784no—
1222#120—24no—
1223#120—42no—
1224#120—3562no—
1225#120—3562no—
1226#120—3562no—
1227#120—1784no—
1228#120—1784no—
1229#120—1784no—
1230#120—1784no—
1231#120—1784no—
1232C4×D4—1784no—
1233C4×D4—1784no—
1234C2×C4⋊C4—891no—
1235C2×C4⋊C4—891no—
1236C2×C4⋊C4—891no—
1237C2×C4⋊C4—891no—
1238C2×C4⋊C4—891no—
1239C2×C4⋊C4—891no—
1240C2×C4⋊C4—891no—
1241C2×C4⋊C4—891no—
1242C2×C4⋊C4—891no—
1243C2×C4⋊C4—891no—
1244C2×C4⋊C4—891no—
1245C2×C4⋊C4—891no—
1246C2×C4⋊C4—891no—
1247C2×C4⋊C4—891no—
1248C2×C4⋊C4—891no—
1249C2×C4⋊C4—891no—
1250C2×C4⋊C4—891no—
1251C2×C4⋊C4—891no—
1252C2×C4⋊C4—891no—
1253C2×C4⋊C4—891no—
1254C2×C4⋊C4—3562no—
1255C2×C4⋊C4C22×D8911yescharacteristic
1256C2×C4⋊C4C22×D8911yescharacteristic
1257C2×C22⋊C4—42no—
1258C2×C22⋊C4—898no—
1259C2×C22⋊C4—891no—
1260C2×C22⋊C4—891no—
1261C2×C22⋊C4—891no—
1262C2×C22⋊C4—891no—
1263C2×C22⋊C4—891no—
1264C2×C22⋊C4—891no—
1265C2×C22⋊C4—891no—
1266C2×C22⋊C4—891no—
1267C2×C22⋊C4—891no—
1268C2×C22⋊C4—891no—
1269C2×C22⋊C4—891no—
1270C2×C22⋊C4—891no—
1271C2×C22⋊C4—891no—
1272C2×C22⋊C4—891no—
1273C2×C22⋊C4—891no—
1274C2×C22⋊C4—891no—
1275C2×C22⋊C4—891no—
1276C2×C22⋊C4—891no—
1277C2×C22⋊C4—891no—
1278C2×C22⋊C4—891no—
1279C2×C22⋊C4—891no—
1280C2×C22⋊C4—891no—
1281C2×C22⋊C4—891no—
1282C2×C22⋊C4—891no—
1283C2×C22⋊C4—891no—
1284C2×C22⋊C4—891no—
1285C2×C22⋊C4—891no—
1286C2×C22⋊C4—891no—
1287C2×C22⋊C4—891no—
1288C2×C22⋊C4—891no—
1289C2×C22⋊C4—891no—
1290C2×C22⋊C4—891no—
1291C2×C22⋊C4—891no—
1292C2×C22⋊C4—891no—
1293C2×C22⋊C4—891no—
1294C2×C22⋊C4—891no—
1295C2×C22⋊C4—891no—
1296C2×C22⋊C4—891no—
1297C2×C22⋊C4—891no—
1298C2×C22⋊C4—891no—
1299C2×C22⋊C4—891no—
1300C2×C22⋊C4—891no—
1301C2×C22⋊C4—891no—
1302C2×C22⋊C4—891no—
1303C2×C22⋊C4—891no—
1304C2×C22⋊C4—891no—
1305C2×C22⋊C4—891no—
1306C2×C22⋊C4—3562no—
1307C2×C22⋊C4C22×D8911yescharacteristic
1308C2×C22⋊C4C22×D8911yescharacteristic
1309C2×C22⋊C4C22×D8911yescharacteristic
1310C2×C22⋊C4C22×D8911yescharacteristic
1311C2×C22⋊C4C22×D8911yescharacteristic
1312C2×C22⋊C4C22×D8911yescharacteristic
1313C2×C22⋊C4C22×D8911yescharacteristic
1314C2×C22⋊C4C22×D8911yescharacteristic
1315C2×C22⋊C4C22×D8911yescharacteristic
1316C2×C22⋊C4C22×D8911yescharacteristic
1317C2×C22⋊C4C22×D8911yescharacteristic
1318C2×C22⋊C4C22×D8911yescharacteristic
1319C2×C22⋊C4C22×D8911yescharacteristic
1320C2×C22⋊C4C22×D8911yescharacteristic
1321C2×C22⋊C4C22×D8911yescharacteristic
1322C2×C42—891no—
1323C2×C42—891no—
1324C2×C42—891no—
1325C2×C42—891no—
1326C2×C42—891no—
1327C2×C42—891no—
1328C2×C42—3562no—
1329#95—891no—
1330#95—891no—
1331#95—891no—
1332#95—891no—
1333#95—891no—
1334#95—891no—
1335#95—891no—
1336#95—891no—
1337#95—891no—
1338#95—891no—
1339#95—891no—
1340#95—891no—
1341#95—891no—
1342#95—891no—
1343#95—891no—
1344#95—891no—
1345#95—891no—
1346#95—891no—
1347#95—891no—
1348#95—891no—
1349#95C22×D8911yescharacteristic
1350#95C22×D8911yescharacteristic
1351#95C22×D8911yescharacteristic
1352#95C22×D8911yescharacteristic
1353C24—22no—
1354C24—22no—
1355C24—22no—
1356C24—41no—
1357C24—41no—
1358C24—41no—
1359C24—41no—
1360C24—41no—
1361C24—41no—
1362C24—41no—
1363C24—41no—
1364C24—41no—
1365C24—41no—
1366C24—891no—
1367C24—891no—
1368C24—891no—
1369C24—3561no—
1370C24—3561no—
1371C24—3561no—
1372C24—3561no—
1373C24—3561no—
1374C24—3561no—
1375C24—1782no—
1376C24D4×D8914yes—
1377C24C23×D8911yescharacteristic
1378C24C23×D8911yescharacteristic
1379C24C23×D8911yescharacteristic
1380C24C23×D8911yescharacteristic
1381C24C23×D8911yescharacteristic
1382C24C23×D8911yescharacteristic
1383C2×Q8—3561no—
1384C2×Q8—3561no—
1385C2×Q8—1782no—
1386C2×D4—22no—
1387C2×D4—22no—
1388C2×D4—22no—
1389C2×D4—22no—
1390C2×D4—22no—
1391C2×D4—22no—
1392C2×D4—22no—
1393C2×D4—22no—
1394C2×D4—22no—
1395C2×D4—22no—
1396C2×D4—22no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—41no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—41no—
1405C2×D4—41no—
1406C2×D4—41no—
1407C2×D4—41no—
1408C2×D4—41no—
1409C2×D4—41no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—416no—
1414C2×D4—3561no—
1415C2×D4—3561no—
1416C2×D4—3561no—
1417C2×D4—3561no—
1418C2×D4—3561no—
1419C2×D4—35616no—
1420C2×D4—3561no—
1421C2×D4—3561no—
1422C2×D4—3561no—
1423C2×D4—3561no—
1424C2×D4—3561no—
1425C2×D4—3561no—
1426C2×D4—3561no—
1427C2×D4—3561no—
1428C2×D4—3561no—
1429C2×D4—3561no—
1430C2×D4—3561no—
1431C2×D4—3561no—
1432C2×D4—3561no—
1433C2×D4—3561no—
1434C2×D4—3561no—
1435C2×D4—3561no—
1436C2×D4—3561no—
1437C2×D4—3561no—
1438C2×D4—3561no—
1439C2×D4—3561no—
1440C2×D4—3561no—
1441C2×D4—3561no—
1442C2×D4—3561no—
1443C2×D4—3561no—
1444C2×D4—3561no—
1445C2×D4—3561no—
1446C2×D4—3561no—
1447C2×D4—3561no—
1448C2×D4—1782no—
1449C2×D4—1782no—
1450C2×D4—1782no—
1451C2×D4—1782no—
1452C2×D4—1782no—
1453C2×D4—1782no—
1454C2×D4—1782no—
1455C2×D4—1782no—
1456C2×D4—1782no—
1457C2×D4—1782no—
1458C2×D4—1782no—
1459C2×D4—1782no—
1460C2×D4—1782no—
1461C2×D4—1782no—
1462C2×D4—1782no—
1463C2×D4—1782no—
1464C2×D4—1782no—
1465C2×D4—1782no—
1466C2×D4—1782no—
1467C2×D4—1782no—
1468C2×D4—1782no—
1469C22×C4—22no—
1470C22×C4—22no—
1471C22×C4—22no—
1472C22×C4—22no—
1473C22×C4—41no—
1474C22×C4—41no—
1475C22×C4—41no—
1476C22×C4—41no—
1477C22×C4—41no—
1478C22×C4—894no—
1479C22×C4—894no—
1480C22×C4—891no—
1481C22×C4—891no—
1482C22×C4—891no—
1483C22×C4—891no—
1484C22×C4—891no—
1485C22×C4—891no—
1486C22×C4—891no—
1487C22×C4—891no—
1488C22×C4—891no—
1489C22×C4—891no—
1490C22×C4—891no—
1491C22×C4—891no—
1492C22×C4—891no—
1493C22×C4—3561no—
1494C22×C4—3561no—
1495C22×C4—3561no—
1496C22×C4—3561no—
1497C22×C4—3561no—
1498C22×C4—3561no—
1499C22×C4—3561no—
1500C22×C4—3561no—
1501C22×C4—3561no—
1502C22×C4—3561no—
1503C22×C4—3561no—
1504C22×C4—3561no—
1505C22×C4—3561no—
1506C22×C4—1782no—
1507C22×C4—1782no—
1508C22×C4—1782no—
1509C22×C4—1782no—
1510C22×C4—1782no—
1511C22×C4—1782no—
1512C22×C4C23×D8911yescharacteristic
1513C22×C4C23×D8911yescharacteristic
1514C22×C4C23×D8911yescharacteristic
1515C22×C4C23×D8911yescharacteristic
1516C22×C4C23×D8911yescharacteristic
1517C22×C4C23×D8911yescharacteristic
1518C22×C4C23×D8911yescharacteristic
1519C22×C4C23×D8911yescharacteristic
1520C22×C4C23×D8911yescharacteristic
1521C4⋊C4—41no—
1522C4⋊C4—41no—
1523C4⋊C4—3561no—
1524C4⋊C4—3561no—
1525C4⋊C4—3561no—
1526C4⋊C4—3561no—
1527C4⋊C4—3561no—
1528C4⋊C4—3561no—
1529C4⋊C4—3561no—
1530C4⋊C4—3561no—
1531C4⋊C4—1782no—
1532C4⋊C4—1782no—
1533C4⋊C4—1782no—
1534C4⋊C4—1782no—
1535C4⋊C4—1782no—
1536C4⋊C4—1782no—
1537C4⋊C4—1782no—
1538C4⋊C4—1782no—
1539C4⋊C4—1782no—
1540C4⋊C4—1782no—
1541C4⋊C4—1782no—
1542C4⋊C4—1782no—
1543C22⋊C4—22no—
1544C22⋊C4—22no—
1545C22⋊C4—22no—
1546C22⋊C4—22no—
1547C22⋊C4—22no—
1548C22⋊C4—22no—
1549C22⋊C4—41no—
1550C22⋊C4—41no—
1551C22⋊C4—41no—
1552C22⋊C4—41no—
1553C22⋊C4—41no—
1554C22⋊C4—41no—
1555C22⋊C4—41no—
1556C22⋊C4—41no—
1557C22⋊C4—41no—
1558C22⋊C4—894no—
1559C22⋊C4—894no—
1560C22⋊C4—894no—
1561C22⋊C4—894no—
1562C22⋊C4—3561no—
1563C22⋊C4—3561no—
1564C22⋊C4—3561no—
1565C22⋊C4—3561no—
1566C22⋊C4—3561no—
1567C22⋊C4—3561no—
1568C22⋊C4—3561no—
1569C22⋊C4—3561no—
1570C22⋊C4—3561no—
1571C22⋊C4—3561no—
1572C22⋊C4—3561no—
1573C22⋊C4—3561no—
1574C22⋊C4—3561no—
1575C22⋊C4—3561no—
1576C22⋊C4—3561no—
1577C22⋊C4—3561no—
1578C22⋊C4—3561no—
1579C22⋊C4—3561no—
1580C22⋊C4—3561no—
1581C22⋊C4—3561no—
1582C22⋊C4—3561no—
1583C22⋊C4—3561no—
1584C22⋊C4—3561no—
1585C22⋊C4—1782no—
1586C22⋊C4—1782no—
1587C22⋊C4—1782no—
1588C22⋊C4—1782no—
1589C22⋊C4—1782no—
1590C22⋊C4—1782no—
1591C22⋊C4—1782no—
1592C22⋊C4—1782no—
1593C22⋊C4—1782no—
1594C22⋊C4—1782no—
1595C22⋊C4—1782no—
1596C22⋊C4—1782no—
1597C22⋊C4—1782no—
1598C22⋊C4—1782no—
1599C22⋊C4—1782no—
1600C22⋊C4—1782no—
1601C22⋊C4—1782no—
1602C22⋊C4—1782no—
1603C22⋊C4—1782no—
1604C22⋊C4—1782no—
1605C42—3561no—
1606C42—3561no—
1607C42—1782no—
1608C42—1782no—
1609C42—1782no—
1610C42—1782no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—21no—
1621C23—21no—
1622C23—21no—
1623C23—21no—
1624C23—21no—
1625C23—21no—
1626C23—21no—
1627C23—28no—
1628C23—21no—
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—21no—
1633C23—21no—
1634C23—21no—
1635C23—21no—
1636C23—21no—
1637C23—21no—
1638C23—21no—
1639C23—21no—
1640C23—21no—
1641C23—21no—
1642C23—21no—
1643C23—21no—
1644C23—21no—
1645C23—21no—
1646C23—21no—
1647C23—21no—
1648C23—21no—
1649C23—44no—
1650C23—44no—
1651C23—44no—
1652C23—82no—
1653C23—82no—
1654C23—82no—
1655C23—82no—
1656C23—82no—
1657C23—82no—
1658C23—82no—
1659C23—82no—
1660C23—82no—
1661C23—82no—
1662C23—3564no—
1663C23—1781no—
1664C23—1781no—
1665C23—1781no—
1666C23—1781no—
1667C23—1781no—
1668C23—1781no—
1669C23—1781no—
1670C23—1781no—
1671C23—1781no—
1672C23—1781no—
1673C23—1781no—
1674C23—1781no—
1675C23—1781no—
1676C23—1781no—
1677C23—1781no—
1678C23—1781no—
1679C23—1781no—
1680C23—1781no—
1681C23—1781no—
1682C23—1781no—
1683C23—1781no—
1684C23—7122no—
1685C23—7122no—
1686C23—7122no—
1687C23—7122no—
1688C23—7122no—
1689C23—7122no—
1690C23C2×D4×D8912yes—
1691C23C2×D4×D8912yes—
1692C23C2×D4×D8912yes—
1693C23#1566805712yes—
1694C23#1566805712yes—
1695C23C24×D8911yescharacteristic
1696Q8—7122no—
1697D4—44no—
1698D4—44no—
1699D4—44no—
1700D4—44no—
1701D4—44no—
1702D4—82no—
1703D4—82no—
1704D4—82no—
1705D4—82no—
1706D4—3564no—
1707D4—3564no—
1708D4—3564no—
1709D4—3564no—
1710D4—3564no—
1711D4—7122no—
1712D4—7122no—
1713D4—7122no—
1714D4—7122no—
1715D4—7122no—
1716D4—7122no—
1717D4—7122no—
1718D4—7122no—
1719D4—7122no—
1720D4—7122no—
1721D4—7122no—
1722D4—7122no—
1723D4—7122no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—44no—
1751C2×C4—44no—
1752C2×C4—82no—
1753C2×C4—892no—
1754C2×C4—892no—
1755C2×C4—892no—
1756C2×C4—892no—
1757C2×C4—892no—
1758C2×C4—3564no—
1759C2×C4—3564no—
1760C2×C4—3564no—
1761C2×C4—3564no—
1762C2×C4—1781no—
1763C2×C4—1781no—
1764C2×C4—1781no—
1765C2×C4—1781no—
1766C2×C4—1781no—
1767C2×C4—1781no—
1768C2×C4—1781no—
1769C2×C4—1781no—
1770C2×C4—1781no—
1771C2×C4—1781no—
1772C2×C4—1781no—
1773C2×C4—1781no—
1774C2×C4—1781no—
1775C2×C4—1781no—
1776C2×C4—1781no—
1777C2×C4—1781no—
1778C2×C4—1781no—
1779C2×C4—1781no—
1780C2×C4—1781no—
1781C2×C4—1781no—
1782C2×C4—1781no—
1783C2×C4—1781no—
1784C2×C4—1781no—
1785C2×C4—1781no—
1786C2×C4—1781no—
1787C2×C4—1781no—
1788C2×C4—1781no—
1789C2×C4—1781no—
1790C2×C4—1781no—
1791C2×C4—1781no—
1792C2×C4—1781no—
1793C2×C4—1781no—
1794C2×C4—1781no—
1795C2×C4—1781no—
1796C2×C4—7122no—
1797C2×C4—7122no—
1798C2×C4—7122no—
1799C2×C4#1566805712yes—
1800C22—22no—
1801C22—22no—
1802C22—22no—
1803C22—22no—
1804C22—22no—
1805C22—22no—
1806C22—22no—
1807C22—22no—
1808C22—22no—
1809C22—22no—
1810C22—22no—
1811C22—22no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—41no—
1817C22—41no—
1818C22—41no—
1819C22—41no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—88no—
1842C22—88no—
1843C22—3561no—
1844C22—3561no—
1845C22—3561no—
1846C22—3561no—
1847C22—3561no—
1848C22—3561no—
1849C22—3561no—
1850C22—3561no—
1851C22—3561no—
1852C22—3561no—
1853C22—3561no—
1854C22—3561no—
1855C22—3561no—
1856C22—3561no—
1857C22—3561no—
1858C22—3561no—
1859C22—3561no—
1860C22—3561no—
1861C22—3561no—
1862C22—3561no—
1863C22—3561no—
1864C22—7128no—
1865C22#1915216314yes—
1866C22C22×D4×D8911yescharacteristic
1867C22H(5,𝔽2)×D8911yescharacteristic
1868C22C2×#1566805711yescharacteristic
1869C22C2×#1566805711yescharacteristic
1870C22C2×#1566805711yescharacteristic
1871C22#1915243311yescharacteristic
1872C22#1915243411yescharacteristic
1873C4—22no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—41no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4—41no—
1882C4—3561no—
1883C4—3561no—
1884C4—3561no—
1885C4—3561no—
1886C4—3561no—
1887C4—3561no—
1888C4—3561no—
1889C4—3561no—
1890C4—1782no—
1891C4—1782no—
1892C4—1782no—
1893C4—1782no—
1894C4—1782no—
1895C2—24no—
1896C2—42no—
1897C2—42no—
1898C2—81no—
1899C2—81no—
1900C2—81no—
1901C2—7121no—
1902C2—7121no—
1903C2—7121no—
1904C2C2×#1915216311yescharacteristic
1905C2#2603400911yescharacteristic
1906C2#2603401311yescharacteristic
1907C2#2603443011yescharacteristic
1908C2#2603448311yescharacteristic
1909C2#2603476211yescharacteristic
1910C2#2603479611yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2410C2
hypercenter#2410D89
hypocenterC89#36739
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2410

Complements

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

NH ≅ G/Ntype
1. C2×#19152183C2semidirect
2. C2×#19152157C2semidirect
3. #26028595C2semidirect
4. #26028549C2semidirect
5. #26027108C2semidirect
6. #26027102C2semidirect
7. #26027000C2semidirect
8. #26026994C2semidirect
9. #26026947C2semidirect
10. #26026941C2semidirect
11. #26026902C2semidirect
12. #26026896C2semidirect
13. #26026649C2semidirect
14. #26026643C2semidirect
15. #26026581C2semidirect
16. #26026579C2semidirect
17. #26026480C2semidirect
18. #26026474C2semidirect
19. #26026471C2semidirect
20. #26026469C2semidirect
21. #26026356C2semidirect
22. #26026182C2semidirect
23. #26025216C2semidirect
24. #26025210C2semidirect
25. #26023691C2semidirect
26. #26023689C2semidirect
27. #26023627C2semidirect
28. #26023626C2semidirect
29. #26023620C2semidirect
30. C2×#19151486C2semidirect
31. C89×#2410C2semidirect
35. C2×#15668008C22semidirect
36. C2×#15668005C22semidirect
37. C2×#15668005C22semidirect
38. C2×#15667999C22semidirect
39. C2×#15667998C22semidirect
40. C2×#15667998C22semidirect
43. C2×#15667994C22semidirect
46. C2×#15667993C22semidirect
47. C2×#15667989C22semidirect
48. C2×#15667986C22semidirect
49. C2×#15667986C22semidirect
50. C2×#15667985C22semidirect
55. C2×#15667984C22semidirect
56. C2×#15667984C22semidirect
57. C2×#15667984C22semidirect
58. C2×#15667984C22semidirect
59. C2×#15667984C22semidirect
60. C2×#15667984C22semidirect
61. C2×#15667984C22semidirect
62. C2×#15667983C22semidirect
63. C2×#15667982C22semidirect
67. C2×#15667981C22semidirect
70. C2×#15667980C22semidirect
71. C2×D4×Dic89C22semidirect
72. C2×#15667972C22semidirect
73. C22×#13083553C22semidirect
76. C22×C4×Dic89C22semidirect
77. #19151540C22semidirect
78. #19151539C22semidirect
79. #19151534C22semidirect
80. #19151534C22semidirect
81. #19151533C22semidirect
82. #19151533C22semidirect
83. #19151532C22semidirect
84. #19151531C22semidirect
85. #19151527C22semidirect
86. #19151527C22semidirect
87. #19151526C22semidirect
88. #19151526C22semidirect
89. #19151522C22semidirect
90. #19151521C22semidirect
91. #19151521C22semidirect
92. #19151520C22semidirect
93. #19151516C22semidirect
96. #19151514C22semidirect
97. #19151514C22semidirect
100. #19151513C22semidirect
101. #19151513C22semidirect
102. #19151513C22semidirect
103. #19151513C22semidirect
106. #19151512C22semidirect
107. #19151511C22semidirect
108. #19151510C22semidirect
111. #19151507C22semidirect
112. #19151507C22semidirect
113. #19151507C22semidirect
118. #19151506C22semidirect
119. #19151506C22semidirect
120. #19151506C22semidirect
121. #19151502C22semidirect
122. #19151501C22semidirect
123. #19151499C22semidirect
124. #19151498C22semidirect
125. #19151498C22semidirect
126. #19151498C22semidirect
127. #19151498C22semidirect
128. #19151498C22semidirect
129. #19151498C22semidirect
130. #19151498C22semidirect
131. #19151495C22semidirect
132. #19151493C22semidirect
133. #19151492C22semidirect
134. #19151491C22semidirect
135. #19151491C22semidirect
136. #19151490C22semidirect
137. #19151488C22semidirect
138. #19151487C22semidirect
139. #19151487C22semidirect
140. #19151486C22semidirect
141. #19151486C22semidirect
142. #19151486C22semidirect
143. #19151486C22semidirect
144. #19151486C22semidirect
145. #19151486C22semidirect
146. #19151486C22semidirect
147. #19151486C22semidirect
148. #19151486C22semidirect
149. #19151478C22semidirect
150. #19151478C22semidirect
151. #19151478C22semidirect
152. #19151478C22semidirect
153. #19151477C22semidirect
154. #19151477C22semidirect
155. #19151477C22semidirect
156. #19151476C22semidirect
157. #19151475C22semidirect
158. #19151475C22semidirect
159. #19151475C22semidirect
160. #19151475C22semidirect
161. #19151474C22semidirect
162. #19151473C22semidirect
163. #19151471C22semidirect
164. #19151470C22semidirect
165. #19151467C22semidirect
166. #19151462C22semidirect
167. #19151457C22semidirect
168. #19151456C22semidirect
169. #19151454C22semidirect
170. #19151453C22semidirect
171. #19151453C22semidirect
172. C2×#15667919C22semidirect
173. C2×#15667919C22semidirect
175. C2×#121×C89C22semidirect
176. C2×#121×C89C22semidirect
178. C2×#120×C89C22semidirect
184. #386×C89C22semidirect
185. #386×C89C22semidirect
186. #386×C89C22semidirect
187. #385×C89C22semidirect
188. #379×C89C22semidirect
279. C2×C22⋊Dic89D4semidirect
985. #2410D89semidirect
987. C89#36739semidirect
1020. C2×#121C2×D89semidirect
1021. C2×#121C2×D89semidirect
1031. C2×#120C2×D89semidirect
1128. #386C2×D89semidirect
1129. #386C2×D89semidirect
1130. #386C2×D89semidirect
1134. #385C2×D89semidirect
1142. #379C2×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191521832
C2×#191521572
#260285952
#260285492
#260271082
#260271022
#260270002
#260269942
#260269472
#260269412
#260269022
#260268962
#260266492
#260266432
#260265812
#260265792
#260264802
#260264742
#260264712
#260264692
#260263562
#260261822
#260252162
#260252102
#260236912
#260236892
#260236272
#260236262
#260236202
C2×#191514862
C89×#24102
#3673989