Finite Group Databasebeta

← #36727227

Subgroups — #36727227

Order 22784.

2314 conjugacy classes of subgroups.

The subgroup lattice has 1638 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#26028582C211yesmaximal, characteristic, complemented
2#26028572C211yesmaximal, characteristic, complemented
3#26028566C211yesmaximal, characteristic, complemented
4#26028548C211yesmaximal, characteristic, complemented
5#26026312C211yesmaximal, characteristic, complemented
6#26026252C211yesmaximal, characteristic, complemented
7#26026237C211yesmaximal, characteristic, complemented
8#26026237C211yesmaximal, characteristic, complemented
9#26024914C211yesmaximal, characteristic, complemented
10#26024907C211yesmaximal, characteristic, complemented
11#26024814C211yesmaximal, characteristic, complemented
12#26024805C211yesmaximal, characteristic, complemented
13#26024747C211yesmaximal, characteristic, complemented
14#26024571C211yesmaximal, characteristic, complemented
15#26024492C211yesmaximal, characteristic, complemented
16#26024309C211yesmaximal, characteristic, complemented
17#26024185C211yesmaximal, characteristic, complemented
18#26023995C211yesmaximal, characteristic, complemented
19#26023915C211yesmaximal, characteristic, complemented
20#26023804C211yesmaximal, characteristic, complemented
21#26023647C211yesmaximal, characteristic, complemented
22#26023622C211yesmaximal, characteristic
23#26023577C211yesmaximal, characteristic, complemented
24#26022987C211yesmaximal, characteristic, complemented
25#26022913C211yesmaximal, characteristic, complemented
26#26022878C211yesmaximal, characteristic, complemented
27#26022848C211yesmaximal, characteristic, complemented
28#26022757C211yesmaximal, characteristic, complemented
29C2×#19151474C211yesmaximal, characteristic, complemented
30C4×C22⋊C4×D89C211yesmaximal, characteristic, complemented
31C89×#2472C211yesmaximal, characteristic, complemented
32C23×C22⋊D89C2211yescharacteristic
33C23×C4×D89C2211yescharacteristic
34C2×#15668005C2211yescharacteristic, complemented
35C2×#15667994C2211yescharacteristic
36C2×#15667994C2211yescharacteristic
37C2×#15667994C2211yescharacteristic, complemented
38C2×#15667988C2211yescharacteristic, complemented
39C2×#15667983C2211yescharacteristic
40C2×#15667983C2211yescharacteristic
41C2×#15667980C2211yescharacteristic
42C2×D4×Dic89C2211yescharacteristic
43C2×#15667972C2211yescharacteristic, complemented
44C2×#15667972C2211yescharacteristic, complemented
45C22×C22⋊Dic89C2211yescharacteristic
46C22×#13083551C2211yescharacteristic
47C2×C22⋊C4×D89C2211yescharacteristic
48C2×C22⋊C4×D89C2211yescharacteristic
49C2×C42×D89C2211yescharacteristic, complemented
50C2×C42×D89C2211yescharacteristic, complemented
51C89⋊#401C2211yescharacteristic, complemented
52#19151540C2211yescharacteristic, complemented
53#19151540C2211yescharacteristic, complemented
54#19151540C2211yescharacteristic, complemented
55#19151538C2211yescharacteristic, complemented
56#19151533C2211yescharacteristic, complemented
57#19151532C2211yescharacteristic, complemented
58#19151527C2211yescharacteristic, complemented
59#19151526C2211yescharacteristic, complemented
60#19151526C2211yescharacteristic, complemented
61#19151526C2211yescharacteristic, complemented
62#19151525C2211yescharacteristic, complemented
63#19151523C2211yescharacteristic, complemented
64#19151523C2211yescharacteristic, complemented
65#19151521C2211yescharacteristic, complemented
66#19151520C2211yescharacteristic, complemented
67#19151520C2211yescharacteristic, complemented
68#19151514C2211yescharacteristic
69#19151514C2211yescharacteristic
70#19151514C2211yescharacteristic
71#19151514C2211yescharacteristic
72#19151514C2211yescharacteristic, complemented
73#19151513C2211yescharacteristic
74#19151513C2211yescharacteristic
75#19151513C2211yescharacteristic, complemented
76#19151509C2211yescharacteristic, complemented
77#19151506C2211yescharacteristic
78#19151506C2211yescharacteristic
79#19151505C2211yescharacteristic, complemented
80#19151505C2211yescharacteristic, complemented
81#19151501C2211yescharacteristic, complemented
82#19151501C2211yescharacteristic, complemented
83#19151497C2211yescharacteristic, complemented
84#19151497C2211yescharacteristic, complemented
85#19151496C2211yescharacteristic, complemented
86#19151492C2211yescharacteristic, complemented
87#19151492C2211yescharacteristic, complemented
88#19151492C2211yescharacteristic, complemented
89#19151492C2211yescharacteristic, complemented
90#19151492C2211yescharacteristic, complemented
91#19151492C2211yescharacteristic, complemented
92#19151491C2211yescharacteristic, complemented
93#19151491C2211yescharacteristic, complemented
94#19151491C2211yescharacteristic, complemented
95#19151491C2211yescharacteristic, complemented
96#19151491C2211yescharacteristic, complemented
97#19151491C2211yescharacteristic, complemented
98#19151486C2211yescharacteristic, complemented
99#19151486C2211yescharacteristic, complemented
100#19151486C2211yescharacteristic, complemented
101#19151486C2211yescharacteristic, complemented
102#19151486C2211yescharacteristic, complemented
103#19151486C2211yescharacteristic, complemented
104#19151486C2211yescharacteristic, complemented
105#19151485C2211yescharacteristic, complemented
106#19151484C2211yescharacteristic, complemented
107#19151484C2211yescharacteristic, complemented
108#19151484C2211yescharacteristic, complemented
109#19151484C2211yescharacteristic, complemented
110#19151483C2211yescharacteristic, complemented
111#19151482C2211yescharacteristic, complemented
112#19151482C2211yescharacteristic, complemented
113#19151481C2211yescharacteristic, complemented
114#19151478C2211yescharacteristic
115#19151478C2211yescharacteristic
116#19151478C2211yescharacteristic, complemented
117#19151478C2211yescharacteristic, complemented
118#19151474C2211yescharacteristic
119#19151474C2211yescharacteristic
120#19151474C2211yescharacteristic
121#19151474C2211yescharacteristic
122#19151474C2211yescharacteristic
123#19151474C2211yescharacteristic
124#19151474C2211yescharacteristic
125#19151474C2211yescharacteristic
126#19151474C2211yescharacteristic
127#19151474C2211yescharacteristic
128#19151474C2211yescharacteristic
129#19151474C2211yescharacteristic
130#19151474C2211yescharacteristic, complemented
131#19151474C2211yescharacteristic, complemented
132#19151474C2211yescharacteristic, complemented
133#19151473C2211yescharacteristic
134#19151473C2211yescharacteristic
135#19151473C2211yescharacteristic
136#19151472C2211yescharacteristic, complemented
137#19151472C2211yescharacteristic, complemented
138#19151472C2211yescharacteristic, complemented
139#19151471C2211yescharacteristic
140#19151471C2211yescharacteristic
141#19151470C2211yescharacteristic
142#19151469C2211yescharacteristic, complemented
143#19151469C2211yescharacteristic, complemented
144#19151465C2211yescharacteristic, complemented
145#19151465C2211yescharacteristic, complemented
146#19151464C2211yescharacteristic, complemented
147#19151462C2211yescharacteristic, complemented
148#19151460C2211yescharacteristic, complemented
149#19151459C2211yescharacteristic, complemented
150#19151458C2211yescharacteristic
151#19151456C2211yescharacteristic
152#19151456C2211yescharacteristic
153#19151456C2211yescharacteristic, complemented
154#19151455C2211yescharacteristic, complemented
155#19151454C2211yescharacteristic
156#19151454C2211yescharacteristic
157#19151453C2211yescharacteristic
158C22⋊C4×Dic89C2211yescharacteristic
159C22⋊C4×Dic89C2211yescharacteristic
160C22⋊C4×Dic89C2211yescharacteristic
161C4×#13083551C2211yescharacteristic, complemented
162C4×#13083551C2211yescharacteristic, complemented
163C4×C22⋊Dic89C2211yescharacteristic
164#19151445C2211yescharacteristic, complemented
165#19151445C2211yescharacteristic, complemented
166#19151445C2211yescharacteristic, complemented
167#19151445C2211yescharacteristic, complemented
168C2×#15667919C2211yescharacteristic
169C2×#15667919C2211yescharacteristic
170#95×D89C2211yescharacteristic, complemented
171#95×D89C2211yescharacteristic, complemented
172C2×#124×C89C2211yescharacteristic, complemented
173C2×C22⋊Q8×C89C2211yescharacteristic
174C2×#120×C89C2211yescharacteristic
175C22×C22⋊C4×C89C2211yescharacteristic
176#397×C89C2211yescharacteristic, complemented
177#394×C89C2211yescharacteristic, complemented
178#394×C89C2211yescharacteristic, complemented
179#393×C89C2211yescharacteristic, complemented
180#390×C89C2211yescharacteristic, complemented
181#388×C89C2211yescharacteristic, complemented
182#388×C89C2211yescharacteristic, complemented
183#386×C89C2211yescharacteristic
184#386×C89C2211yescharacteristic
185#379×C89C2211yescharacteristic
186C4×C22⋊C4×C89C2211yescharacteristic
187C24×D89C2311yescharacteristic
188C22×C22⋊D89—24no—
189C22×C22⋊D89—42no—
190C22×C22⋊D89—42no—
191C22×C22⋊D89C2311yescharacteristic
192C22×C22⋊D89C2311yescharacteristic
193C22×C22⋊D89C2311yescharacteristic
194C22×C22⋊D89C2311yescharacteristic
195C22×C22⋊D89C2311yescharacteristic
196C22×C22⋊D89C2311yescharacteristic
197C23×Dic89C2311yescharacteristic
198C23×Dic89C2311yescharacteristic
199C23×Dic89C2311yescharacteristic
200C23×Dic89C2311yescharacteristic
201C22×C4×D89—24no—
202C22×C4×D89—42no—
203C22×C4×D89—42no—
204C22×C4×D89C2311yescharacteristic
205C22×C4×D89C2311yescharacteristic
206C22×C4×D89C2311yescharacteristic
207C22×C4×D89C2311yescharacteristic
208C22×C4×D89C2311yescharacteristic
209C22×C4×D89C2311yescharacteristic
210C22×C4×D89C2311yescharacteristic
211C22×C4×D89C2311yescharacteristic
212#15668005—42no—
213#15667994—42no—
214#15667994—42no—
215#15667994—42no—
216#15667988—42no—
217#15667983—42no—
218#15667983—42no—
219#15667980—24no—
220D4×Dic89—24no—
221#15667972—42no—
222#15667972—42no—
223C2×C4⋊Dic89C2311yescharacteristic
224C2×C4⋊Dic89C2311yescharacteristic
225C2×C4⋊Dic89C2311yescharacteristic
226C2×C4⋊Dic89C2311yescharacteristic
227C2×C4⋊Dic89C2311yescharacteristic
228C2×C4⋊Dic89C2311yescharacteristic
229C2×C4⋊Dic89C2311yescharacteristic
230C2×C4⋊Dic89C2311yescharacteristic
231C2×C4⋊Dic89C2311yescharacteristic
232C2×#13083553C2311yescharacteristic
233C2×#13083553C2311yescharacteristic
234C2×#13083553C2311yescharacteristic
235C2×#13083553C2311yescharacteristic
236C2×#13083553C2311yescharacteristic
237C2×#13083553C2311yescharacteristic
238C2×#13083553C2311yescharacteristic
239C2×#13083553C2311yescharacteristic
240C2×#13083553C2311yescharacteristic
241C2×#13083553C2311yescharacteristic
242C2×C22⋊Dic89—24no—
243C2×C22⋊Dic89C2311yescharacteristic
244C2×C22⋊Dic89C2311yescharacteristic
245C2×C22⋊Dic89C2311yescharacteristic
246C2×C22⋊Dic89C2311yescharacteristic
247C2×C22⋊Dic89C2311yescharacteristic
248C2×C22⋊Dic89C2311yescharacteristic
249C2×C22⋊Dic89C2311yescharacteristic
250C2×C22⋊Dic89C2311yescharacteristic
251C2×C22⋊Dic89C2311yescharacteristic
252C2×C22⋊Dic89C2311yescharacteristic
253C2×C22⋊Dic89C2311yescharacteristic
254C2×C22⋊Dic89C2311yescharacteristic
255C2×C22⋊Dic89C2311yescharacteristic
256C2×C22⋊Dic89C2311yescharacteristic
257C2×C22⋊Dic89C2311yescharacteristic
258C2×C22⋊Dic89C2311yescharacteristic
259C2×C22⋊Dic89C2311yescharacteristic
260C2×C22⋊Dic89C2311yescharacteristic
261C2×C22⋊Dic89C2311yescharacteristic
262C2×C22⋊Dic89C2311yescharacteristic
263C2×C22⋊Dic89C2311yescharacteristic
264C2×#13083551—42no—
265C2×#13083551C2311yescharacteristic
266C2×#13083551C2311yescharacteristic
267C2×#13083551C2311yescharacteristic
268C2×#13083551C2311yescharacteristic
269C2×#13083551C2311yescharacteristic
270C2×#13083551C2311yescharacteristic
271C2×#13083551C2311yescharacteristic
272C2×#13083551C2311yescharacteristic
273C2×#13083551C2311yescharacteristic
274C2×#13083551C2311yescharacteristic
275C2×#13083551C2311yescharacteristic
276C2×#13083551C2311yescharacteristic
277C2×#13083551C2311yescharacteristic
278C2×#13083551C2311yescharacteristic
279C22⋊C4×D89—24no—
280C22⋊C4×D89—24no—
281C2×C4×Dic89C2311yescharacteristic
282C2×C4×Dic89C2311yescharacteristic
283C2×C4×Dic89C2311yescharacteristic
284C2×C4×Dic89C2311yescharacteristic
285C2×C4×Dic89C2311yescharacteristic
286C2×C4×Dic89C2311yescharacteristic
287C2×C4×Dic89C2311yescharacteristic
288C2×C4×Dic89C2311yescharacteristic
289C2×C4×Dic89C2311yescharacteristic
290C42×D89—42no—
291C42×D89—42no—
292#15667919C2311yescharacteristic
293#15667919C2311yescharacteristic
294#15667919C2311yescharacteristic
295#15667919C2311yescharacteristic
296#15667919C2311yescharacteristic
297#15667919C2311yescharacteristic
298#15667919C2311yescharacteristic
299#15667919C2311yescharacteristic
300#15667919C2311yescharacteristic
301#15667919C2311yescharacteristic
302#15667919C2311yescharacteristic
303#15667919C2311yescharacteristic
304#15667919C2311yescharacteristic
305#15667919C2311yescharacteristic
306#15667919C2311yescharacteristic
307#15667919C2311yescharacteristic
308#15667919C2311yescharacteristic
309#15667919C2311yescharacteristic
310#15667919C2311yescharacteristic
311#15667919C2311yescharacteristic
312#15667919C2311yescharacteristic
313#15667919C2311yescharacteristic
314#15667919C2311yescharacteristic
315#15667919C2311yescharacteristic
316#15667919C2311yescharacteristic
317#15667919C2311yescharacteristic
318#15667919C2311yescharacteristic
319#15667919C2311yescharacteristic
320#15667919C2311yescharacteristic
321#15667919C2311yescharacteristic
322#15667919C2311yescharacteristic
323#15667919C2311yescharacteristic
324#15667919C2311yescharacteristic
325#15667919C2311yescharacteristic
326#15667919C2311yescharacteristic
327#15667919C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330C25×C89C2311yescharacteristic
331C22×Q8×C89C2311yescharacteristic
332C22×D4×C89C2311yescharacteristic
333C22×D4×C89C2311yescharacteristic
334C22×D4×C89C2311yescharacteristic
335C23×C4×C89C2311yescharacteristic
336C23×C4×C89C2311yescharacteristic
337#124×C89—42no—
338C22⋊Q8×C89—24no—
339#120×C89—24no—
340C2×C4⋊C4×C89C2311yescharacteristic
341C2×C4⋊C4×C89C2311yescharacteristic
342C2×C4⋊C4×C89C2311yescharacteristic
343C2×C22⋊C4×C89—42no—
344C2×C22⋊C4×C89C2311yescharacteristic
345C2×C22⋊C4×C89C2311yescharacteristic
346C2×C22⋊C4×C89C2311yescharacteristic
347C2×C22⋊C4×C89C2311yescharacteristic
348C2×C22⋊C4×C89C2311yescharacteristic
349C2×C22⋊C4×C89C2311yescharacteristic
350C2×C22⋊C4×C89C2311yescharacteristic
351C2×C22⋊C4×C89C2311yescharacteristic
352C2×C22⋊C4×C89C2311yescharacteristic
353C2×C22⋊C4×C89C2311yescharacteristic
354C2×C22⋊C4×C89C2311yescharacteristic
355C2×C22⋊C4×C89C2311yescharacteristic
356C2×C22⋊C4×C89C2311yescharacteristic
357C2×C22⋊C4×C89C2311yescharacteristic
358C2×C22⋊C4×C89C2311yescharacteristic
359C2×C22⋊C4×C89C2311yescharacteristic
360C2×C22⋊C4×C89C2311yescharacteristic
361C2×C42×C89C2311yescharacteristic
362C2×C42×C89C2311yescharacteristic
363#95×C89C2311yescharacteristic
364#95×C89C2311yescharacteristic
365#95×C89C2311yescharacteristic
366#95×C89C2311yescharacteristic
367#95×C89C2311yescharacteristic
368#95×C89C2311yescharacteristic
369C23×D89—22no—
370C23×D89—22no—
371C23×D89—22no—
372C23×D89—22no—
373C23×D89—41no—
374C23×D89—41no—
375C23×D89#4114yes—
376C23×D89C2411yescharacteristic
377C23×D89C2411yescharacteristic
378C2×C22⋊D89—22no—
379C2×C22⋊D89—22no—
380C2×C22⋊D89—22no—
381C2×C22⋊D89—22no—
382C2×C22⋊D89—22no—
383C2×C22⋊D89—22no—
384C2×C22⋊D89—22no—
385C2×C22⋊D89—22no—
386C2×C22⋊D89—22no—
387C2×C22⋊D89—22no—
388C2×C22⋊D89—22no—
389C2×C22⋊D89—22no—
390C2×C22⋊D89—41no—
391C2×C22⋊D89—41no—
392C2×C22⋊D89—41no—
393C2×C22⋊D89—41no—
394C2×C22⋊D89—41no—
395C2×C22⋊D89—41no—
396C2×C22⋊D89—416no—
397C22×Dic89—22no—
398C22×Dic89—22no—
399C22×Dic89—22no—
400C22×Dic89—41no—
401C22×Dic89—41no—
402C22×Dic89—41no—
403C22×Dic89—41no—
404C22×Dic89—41no—
405C22×Dic89—41no—
406C22×Dic89—41no—
407C22×Dic89—41no—
408C22×Dic89#4114yes—
409C22×Dic89C2411yescharacteristic
410C22×Dic89C2411yescharacteristic
411C22×Dic89C2411yescharacteristic
412C22×Dic89C2411yescharacteristic
413C22×Dic89C2411yescharacteristic
414C22×Dic89C2411yescharacteristic
415C22×Dic89C2411yescharacteristic
416C22×Dic89C2411yescharacteristic
417C22×Dic89C2411yescharacteristic
418C22×Dic89C2411yescharacteristic
419C22×Dic89C2411yescharacteristic
420C22×Dic89C2411yescharacteristic
421C22×Dic89C2411yescharacteristic
422C22×Dic89C2411yescharacteristic
423C2×C4×D89—22no—
424C2×C4×D89—22no—
425C2×C4×D89—22no—
426C2×C4×D89—22no—
427C2×C4×D89—22no—
428C2×C4×D89—22no—
429C2×C4×D89—22no—
430C2×C4×D89—22no—
431C2×C4×D89—22no—
432C2×C4×D89—22no—
433C2×C4×D89—22no—
434C2×C4×D89—22no—
435C2×C4×D89—22no—
436C2×C4×D89—22no—
437C2×C4×D89—22no—
438C2×C4×D89—22no—
439C2×C4×D89—416no—
440C2×C4×D89—41no—
441C2×C4×D89—41no—
442C2×C4×D89—41no—
443C2×C4×D89—41no—
444C2×C4×D89—41no—
445C2×C4×D89—41no—
446C2×C4×D89—41no—
447C2×C4×D89—41no—
448C4⋊Dic89—22no—
449C4⋊Dic89—41no—
450C4⋊Dic89—41no—
451C4⋊Dic89—41no—
452C4⋊Dic89—41no—
453C4⋊Dic89—41no—
454C4⋊Dic89—41no—
455C4⋊Dic89—41no—
456C4⋊Dic89—41no—
457#13083553—22no—
458#13083553—41no—
459#13083553—41no—
460#13083553—41no—
461#13083553—41no—
462#13083553—41no—
463#13083553—41no—
464#13083553—41no—
465#13083553—41no—
466#13083553—41no—
467C22⋊Dic89—22no—
468C22⋊Dic89—22no—
469C22⋊Dic89—22no—
470C22⋊Dic89—22no—
471C22⋊Dic89—22no—
472C22⋊Dic89—22no—
473C22⋊Dic89—22no—
474C22⋊Dic89—22no—
475C22⋊Dic89—22no—
476C22⋊Dic89—41no—
477C22⋊Dic89—41no—
478C22⋊Dic89—41no—
479C22⋊Dic89—41no—
480C22⋊Dic89—41no—
481C22⋊Dic89—41no—
482C22⋊Dic89—41no—
483C22⋊Dic89—41no—
484C22⋊Dic89—41no—
485C22⋊Dic89—41no—
486C22⋊Dic89—41no—
487C22⋊Dic89—41no—
488#13083551—22no—
489#13083551—22no—
490#13083551—22no—
491#13083551—22no—
492#13083551—22no—
493#13083551—22no—
494#13083551—22no—
495#13083551—22no—
496#13083551—22no—
497#13083551—22no—
498#13083551—41no—
499#13083551—41no—
500#13083551—41no—
501#13083551—41no—
502C4×Dic89—22no—
503C4×Dic89—22no—
504C4×Dic89—41no—
505C4×Dic89—41no—
506C4×Dic89—41no—
507C4×Dic89—41no—
508C4×Dic89—41no—
509C4×Dic89—41no—
510C4×Dic89—41no—
511C24×C89—22no—
512C24×C89—22no—
513C24×C89—22no—
514C24×C89—41no—
515C24×C89—41no—
516C24×C89—41no—
517C24×C89—41no—
518C24×C89C2411yescharacteristic
519C24×C89C2411yescharacteristic
520C24×C89C2411yescharacteristic
521C24×C89C2411yescharacteristic
522C2×Q8×C89—22no—
523C2×Q8×C89—41no—
524C2×Q8×C89—41no—
525C2×D4×C89—22no—
526C2×D4×C89—22no—
527C2×D4×C89—22no—
528C2×D4×C89—22no—
529C2×D4×C89—22no—
530C2×D4×C89—41no—
531C2×D4×C89—41no—
532C2×D4×C89—41no—
533C2×D4×C89—41no—
534C22×C4×C89—22no—
535C22×C4×C89—22no—
536C22×C4×C89—22no—
537C22×C4×C89—41no—
538C22×C4×C89—41no—
539C22×C4×C89—41no—
540C22×C4×C89C2411yescharacteristic
541C22×C4×C89C2411yescharacteristic
542C22×C4×C89C2411yescharacteristic
543C22×C4×C89C2411yescharacteristic
544C22×C4×C89C2411yescharacteristic
545C22×C4×C89C2411yescharacteristic
546C22×C4×C89C2411yescharacteristic
547C22×C4×C89C2411yescharacteristic
548C22×C4×C89C2411yescharacteristic
549C22×C4×C89C2411yescharacteristic
550C22×C4×C89C2411yescharacteristic
551C4⋊C4×C89—22no—
552C4⋊C4×C89—22no—
553C4⋊C4×C89—22no—
554C22⋊C4×C89—22no—
555C22⋊C4×C89—22no—
556C22⋊C4×C89—22no—
557C22⋊C4×C89—22no—
558C22⋊C4×C89—22no—
559C22⋊C4×C89—22no—
560C22⋊C4×C89—22no—
561C22⋊C4×C89—41no—
562C22⋊C4×C89—41no—
563C22⋊C4×C89—41no—
564C22⋊C4×C89—41no—
565C22⋊C4×C89—41no—
566C22⋊C4×C89—41no—
567C22⋊C4×C89—41no—
568C22⋊C4×C89—41no—
569C22⋊C4×C89—41no—
570C22⋊C4×C89#4114yes—
571C42×C89—22no—
572C42×C89—41no—
573C23×C89—21no—
574C23×C89—21no—
575C23×C89—21no—
576C23×C89—21no—
577C23×C89—21no—
578C23×C89—21no—
579C23×C89—21no—
580C23×C89—21no—
581C23×C89—21no—
582C23×C89—21no—
583C23×C89—21no—
584C23×C89—21no—
585C23×C89—21no—
586C23×C89—21no—
587C23×C89—21no—
588C23×C89—21no—
589C23×C89—21no—
590C23×C89—21no—
591C23×C89—21no—
592C23×C89—21no—
593C23×C89—21no—
594C23×C89—21no—
595C23×C89—21no—
596C23×C89—21no—
597C23×C89—21no—
598C23×C89—44no—
599C23×C89—44no—
600C23×C89—44no—
601C23×C89—82no—
602C23×C89—82no—
603C23×C89—82no—
604C23×C89—82no—
605C23×C89C2×#4112yes—
606C23×C89C2×#4112yes—
607C23×C89C2×#4112yes—
608C23×C89C2511yescharacteristic
609C22×D89—21no—
610C22×D89—21no—
611C22×D89—21no—
612C22×D89—21no—
613C22×D89—28no—
614C22×D89—21no—
615C22×D89—21no—
616C22×D89—21no—
617C22×D89—21no—
618C22×D89—21no—
619C22×D89—21no—
620C22×D89—28no—
621C22×D89—44no—
622C22×D89—44no—
623C22×D89—44no—
624C22×D89—44no—
625C22×D89—44no—
626C22×D89C2×#4112yes—
627C22×D89C2×#4112yes—
628C22×D89H(5,𝔽2)12yes—
629C22×D89H(5,𝔽2)12yes—
630Q8×C89—82no—
631D4×C89—44no—
632D4×C89—82no—
633D4×C89—82no—
634C2×C4×C89—21no—
635C2×C4×C89—21no—
636C2×C4×C89—21no—
637C2×C4×C89—21no—
638C2×C4×C89—21no—
639C2×C4×C89—21no—
640C2×C4×C89—21no—
641C2×C4×C89—21no—
642C2×C4×C89—21no—
643C2×C4×C89—21no—
644C2×C4×C89—21no—
645C2×C4×C89—21no—
646C2×C4×C89—21no—
647C2×C4×C89—21no—
648C2×C4×C89—21no—
649C2×C4×C89—21no—
650C2×C4×C89—21no—
651C2×C4×C89—21no—
652C2×C4×C89—21no—
653C2×C4×C89—21no—
654C2×C4×C89—21no—
655C2×C4×C89—21no—
656C2×C4×C89—21no—
657C2×C4×C89—21no—
658C2×C4×C89—21no—
659C2×C4×C89—21no—
660C2×C4×C89—21no—
661C2×C4×C89—21no—
662C2×C4×C89—21no—
663C2×C4×C89—21no—
664C2×C4×C89—44no—
665C2×C4×C89—82no—
666C2×C4×C89C2×#4112yes—
667C2×C4×C89C2×#4112yes—
668C2×C4×C89H(5,𝔽2)12yes—
669C22⋊D89—44no—
670C22⋊D89—44no—
671C22⋊D89—44no—
672C22⋊D89—44no—
673C22⋊D89—44no—
674C22⋊D89—44no—
675C2×Dic89—21no—
676C2×Dic89—21no—
677C2×Dic89—21no—
678C2×Dic89—21no—
679C2×Dic89—21no—
680C2×Dic89—21no—
681C2×Dic89—21no—
682C2×Dic89—21no—
683C2×Dic89—21no—
684C2×Dic89—21no—
685C2×Dic89—21no—
686C2×Dic89—21no—
687C2×Dic89—21no—
688C2×Dic89—21no—
689C2×Dic89—21no—
690C2×Dic89—21no—
691C2×Dic89—21no—
692C2×Dic89—21no—
693C2×Dic89—21no—
694C2×Dic89—21no—
695C2×Dic89—21no—
696C2×Dic89—21no—
697C2×Dic89—21no—
698C2×Dic89—21no—
699C2×Dic89—21no—
700C2×Dic89—21no—
701C2×Dic89—21no—
702C2×Dic89—21no—
703C2×Dic89—21no—
704C2×Dic89—21no—
705C2×Dic89—21no—
706C2×Dic89—21no—
707C2×Dic89—21no—
708C2×Dic89—21no—
709C2×Dic89—21no—
710C2×Dic89—21no—
711C2×Dic89—21no—
712C2×Dic89—21no—
713C2×Dic89—21no—
714C2×Dic89—21no—
715C2×Dic89—44no—
716C2×Dic89—44no—
717C2×Dic89—82no—
718C2×Dic89—82no—
719C2×Dic89C2×#4112yes—
720C2×Dic89C2×#4112yes—
721C4×D89—28no—
722C4×D89—44no—
723C4×D89—44no—
724C4×D89—44no—
725C4×D89—44no—
726C4×D89—44no—
727C4×D89—44no—
728C4×D89—44no—
729C22×C89—22no—
730C22×C89—22no—
731C22×C89—22no—
732C22×C89—22no—
733C22×C89—22no—
734C22×C89—22no—
735C22×C89—41no—
736C22×C89—41no—
737C22×C89—41no—
738C22×C89—41no—
739C22×C89—41no—
740C22×C89—41no—
741C22×C89—41no—
742C22×C89—41no—
743C22×C89—41no—
744C22×C89—41no—
745C22×C89—41no—
746C22×C89—41no—
747C22×C89—41no—
748C22×C89—41no—
749C22×C89—41no—
750C22×C89—41no—
751C22×C89—41no—
752C22×C89—41no—
753C22×C89—41no—
754C22×C89—41no—
755C22×C89—41no—
756C22×C89—88no—
757C22×C89#52914yes—
758C22×C89C22×#4111yescharacteristic
759C22×C89C22×#4111yescharacteristic
760C22×C89C22×#4111yescharacteristic
761C22×C89C2×H(5,𝔽2)11yescharacteristic
762C22×C89C2×H(5,𝔽2)11yescharacteristic
763C22×C89C2×H(5,𝔽2)11yescharacteristic
764C22×C89#58511yescharacteristic
765C2×D89—22no—
766C2×D89—22no—
767C2×D89—22no—
768C2×D89—22no—
769C2×D89—22no—
770C2×D89—22no—
771C2×D89—22no—
772C2×D89—22no—
773C2×D89—22no—
774C2×D89—416no—
775C2×D89—41no—
776C2×D89—41no—
777C2×D89—41no—
778C2×D89—41no—
779C2×D89#53814yes—
780C4×C89—22no—
781C4×C89—22no—
782C4×C89—22no—
783C4×C89—41no—
784C4×C89—41no—
785C4×C89—41no—
786C4×C89—41no—
787C4×C89—41no—
788C4×C89—41no—
789C4×C89—41no—
790C4×C89—41no—
791Dic89—22no—
792Dic89—22no—
793Dic89—41no—
794Dic89—41no—
795Dic89—41no—
796Dic89—41no—
797Dic89—41no—
798Dic89—41no—
799Dic89—41no—
800Dic89—41no—
801Dic89—41no—
802Dic89—41no—
803Dic89—41no—
804Dic89—41no—
805#34998—891nomaximal, Sylow
806C2×C89—24no—
807C2×C89—81no—
808C2×C89—81no—
809C2×C89—81no—
810C2×C89C2×#52911yescharacteristic
811C2×C89C2×#53811yescharacteristic
812C2×C89#345911yescharacteristic
813C2×C89#349011yescharacteristic
814C2×C89#349411yescharacteristic
815C2×C89#351311yescharacteristic
816C2×C89#351911yescharacteristic
817D89—24no—
818D89—42no—
819#2854—891no—
820#2853—891no—
821#2852—891no—
822#2850—891no—
823#2653—891no—
824#2649—891no—
825#2648—891no—
826#2648—891no—
827#2518—891no—
828#2518—891no—
829#2510—891no—
830#2510—891no—
831#2505—891no—
832#2488—891no—
833#2480—891no—
834#2472D8911yescharacteristic, complemented
835#2467—891no—
836#2459—891no—
837#2444—891no—
838#2437—891no—
839#2425—891no—
840#2412—891no—
841#2410—891no—
842#2405—891no—
843#2329—891no—
844#2321—891no—
845#2318—891no—
846#2312—891no—
847C4×#120—891no—
848C2×#386—891no—
849C2×C4×C22⋊C4—891no—
850C89#3499811yescharacteristic, complemented, Sylow
851C23×D4—891no—
852C24×C4—891no—
853C2×#126—891no—
854C2×#124C2×D8911yescharacteristic, complemented
855C2×#123—891no—
856C2×#123—891no—
857C2×#123—891no—
858C2×C22⋊Q8—891no—
859C2×C22⋊Q8C2×D8911yescharacteristic
860C2×#121—891no—
861C2×#121—891no—
862C2×#120—891no—
863C2×#120C2×D8911yescharacteristic
864C2×C4×D4—891no—
865C2×C4×D4—891no—
866C2×C4×D4—891no—
867C22×C22⋊C4—891no—
868C22×C22⋊C4—891no—
869C22×C22⋊C4—891no—
870C22×C22⋊C4—891no—
871C22×C22⋊C4C2×D8911yescharacteristic
872C22×C42—891no—
873C22×C42—891no—
874#401—891no—
875#400—891no—
876#400—891no—
877#400—891no—
878#400—891no—
879#399—891no—
880#398—891no—
881#397—891no—
882#397—891no—
883#397—891no—
884#397—891no—
885#397—891no—
886#397—891no—
887#397—891no—
888#397C2×D8911yescharacteristic, complemented
889#396—891no—
890#396—891no—
891#396—891no—
892#394—891no—
893#394—891no—
894#394—891no—
895#394—891no—
896#394—891no—
897#394—891no—
898#394—891no—
899#394—891no—
900#394C2×D8911yescharacteristic, complemented
901#394C2×D8911yescharacteristic, complemented
902#393—891no—
903#393C2×D8911yescharacteristic, complemented
904#392—891no—
905#392—891no—
906#391—891no—
907#391—891no—
908#390—891no—
909#390—891no—
910#390C2×D8911yescharacteristic, complemented
911#389—891no—
912#389—891no—
913#389—891no—
914#388—891no—
915#388—891no—
916#388—891no—
917#388—891no—
918#388—891no—
919#388—891no—
920#388—891no—
921#388—891no—
922#388—891no—
923#388—891no—
924#388—891no—
925#388—891no—
926#388—891no—
927#388—891no—
928#388—891no—
929#388—891no—
930#388—891no—
931#388—891no—
932#388—891no—
933#388C2×D8911yescharacteristic, complemented
934#388C2×D8911yescharacteristic, complemented
935#387—891no—
936#387—891no—
937#387—891no—
938#387—891no—
939#387—891no—
940#387—891no—
941#387—891no—
942#387—891no—
943#387—891no—
944#386—891no—
945#386—891no—
946#386—891no—
947#386—891no—
948#386—891no—
949#386—891no—
950#386—891no—
951#386—891no—
952#386—891no—
953#386—891no—
954#386—891no—
955#386—891no—
956#386—891no—
957#386—891no—
958#386—891no—
959#386—891no—
960#386—891no—
961#386—891no—
962#386—891no—
963#386C2×D8911yescharacteristic
964#386C2×D8911yescharacteristic
965#385—891no—
966#385—891no—
967#385—891no—
968#385—891no—
969#385—891no—
970#385—891no—
971#385—891no—
972#385—891no—
973#385—891no—
974#385—891no—
975#385—891no—
976#383—891no—
977#383—891no—
978#382—891no—
979#382—891no—
980#381—891no—
981#381—891no—
982#380—891no—
983#380—891no—
984#380—891no—
985#380—891no—
986#380—891no—
987#379—891no—
988#379—891no—
989#379—891no—
990#379C2×D8911yescharacteristic
991C4×C22⋊C4—891no—
992C4×C22⋊C4—891no—
993C4×C22⋊C4—891no—
994C4×C22⋊C4—891no—
995C4×C22⋊C4—891no—
996C4×C22⋊C4—891no—
997C4×C22⋊C4—891no—
998C4×C22⋊C4—891no—
999C4×C22⋊C4—891no—
1000C4×C22⋊C4—891no—
1001C4×C22⋊C4C2×D8911yescharacteristic
1002C2×#95—891no—
1003C2×#95—891no—
1004C2×#95—891no—
1005C2×#95—891no—
1006C25—891no—
1007C25C22×D8911yescharacteristic
1008C22×Q8C22×D8911yescharacteristic
1009C22×D4—891no—
1010C22×D4—891no—
1011C22×D4—891no—
1012C22×D4—891no—
1013C22×D4—891no—
1014C22×D4—891no—
1015C22×D4—3562no—
1016C22×D4—3562no—
1017C22×D4—1784no—
1018C22×D4C22×D8911yescharacteristic
1019C22×D4C22×D8911yescharacteristic
1020C22×D4C22×D8911yescharacteristic
1021C23×C4—891no—
1022C23×C4—891no—
1023C23×C4—891no—
1024C23×C4—891no—
1025C23×C4—891no—
1026C23×C4—891no—
1027C23×C4—891no—
1028C23×C4—891no—
1029C23×C4—891no—
1030C23×C4—891no—
1031C23×C4—891no—
1032C23×C4—891no—
1033C23×C4—3562no—
1034C23×C4—3562no—
1035C23×C4—1784no—
1036C23×C4C22×D8911yescharacteristic
1037C23×C4C22×D8911yescharacteristic
1038#126—3562no—
1039#124—42no—
1040#123—3562no—
1041#123—3562no—
1042#123—3562no—
1043C22⋊Q8—24no—
1044C22⋊Q8—3562no—
1045#121—3562no—
1046#121—3562no—
1047#120—24no—
1048#120—1784no—
1049C4×D4—3562no—
1050C4×D4—3562no—
1051C4×D4—1784no—
1052C2×C4⋊C4—891no—
1053C2×C4⋊C4—891no—
1054C2×C4⋊C4—891no—
1055C2×C4⋊C4—891no—
1056C2×C4⋊C4—891no—
1057C2×C4⋊C4—891no—
1058C2×C4⋊C4—891no—
1059C2×C4⋊C4—891no—
1060C2×C4⋊C4—891no—
1061C2×C4⋊C4—891no—
1062C2×C4⋊C4—891no—
1063C2×C4⋊C4—891no—
1064C2×C4⋊C4—891no—
1065C2×C4⋊C4—891no—
1066C2×C4⋊C4—891no—
1067C2×C4⋊C4—891no—
1068C2×C4⋊C4—891no—
1069C2×C4⋊C4—891no—
1070C2×C4⋊C4—891no—
1071C2×C4⋊C4C22×D8911yescharacteristic
1072C2×C4⋊C4C22×D8911yescharacteristic
1073C2×C4⋊C4C22×D8911yescharacteristic
1074C2×C22⋊C4—42no—
1075C2×C22⋊C4—891no—
1076C2×C22⋊C4—891no—
1077C2×C22⋊C4—891no—
1078C2×C22⋊C4—891no—
1079C2×C22⋊C4—891no—
1080C2×C22⋊C4—891no—
1081C2×C22⋊C4—891no—
1082C2×C22⋊C4—891no—
1083C2×C22⋊C4—891no—
1084C2×C22⋊C4—891no—
1085C2×C22⋊C4—891no—
1086C2×C22⋊C4—891no—
1087C2×C22⋊C4—891no—
1088C2×C22⋊C4—891no—
1089C2×C22⋊C4—891no—
1090C2×C22⋊C4—891no—
1091C2×C22⋊C4—891no—
1092C2×C22⋊C4—891no—
1093C2×C22⋊C4—891no—
1094C2×C22⋊C4—891no—
1095C2×C22⋊C4—891no—
1096C2×C22⋊C4—891no—
1097C2×C22⋊C4—891no—
1098C2×C22⋊C4—891no—
1099C2×C22⋊C4—891no—
1100C2×C22⋊C4—891no—
1101C2×C22⋊C4—891no—
1102C2×C22⋊C4—891no—
1103C2×C22⋊C4—891no—
1104C2×C22⋊C4—891no—
1105C2×C22⋊C4—891no—
1106C2×C22⋊C4—891no—
1107C2×C22⋊C4—891no—
1108C2×C22⋊C4—891no—
1109C2×C22⋊C4—891no—
1110C2×C22⋊C4—3562no—
1111C2×C22⋊C4—1784no—
1112C2×C22⋊C4—1784no—
1113C2×C22⋊C4—1784no—
1114C2×C22⋊C4C22×D8911yescharacteristic
1115C2×C22⋊C4C22×D8911yescharacteristic
1116C2×C22⋊C4C22×D8911yescharacteristic
1117C2×C22⋊C4C22×D8911yescharacteristic
1118C2×C22⋊C4C22×D8911yescharacteristic
1119C2×C22⋊C4C22×D8911yescharacteristic
1120C2×C22⋊C4C22×D8911yescharacteristic
1121C2×C22⋊C4C22×D8911yescharacteristic
1122C2×C22⋊C4C22×D8911yescharacteristic
1123C2×C22⋊C4C22×D8911yescharacteristic
1124C2×C22⋊C4C22×D8911yescharacteristic
1125C2×C22⋊C4C22×D8911yescharacteristic
1126C2×C22⋊C4C22×D8911yescharacteristic
1127C2×C22⋊C4C22×D8911yescharacteristic
1128C2×C22⋊C4C22×D8911yescharacteristic
1129C2×C22⋊C4C22×D8911yescharacteristic
1130C2×C22⋊C4C22×D8911yescharacteristic
1131C2×C42—891no—
1132C2×C42—891no—
1133C2×C42—891no—
1134C2×C42—891no—
1135C2×C42—891no—
1136C2×C42—891no—
1137C2×C42—891no—
1138C2×C42—891no—
1139C2×C42—891no—
1140C2×C42—3562no—
1141C2×C42—3562no—
1142C2×C42C22×D8911yescharacteristic
1143C2×C42C22×D8911yescharacteristic
1144#95—891no—
1145#95—891no—
1146#95—891no—
1147#95—891no—
1148#95—891no—
1149#95—891no—
1150#95—891no—
1151#95—891no—
1152#95—891no—
1153#95—891no—
1154#95—891no—
1155#95—891no—
1156#95—891no—
1157#95—891no—
1158#95—891no—
1159#95—891no—
1160#95—891no—
1161#95—891no—
1162#95—891no—
1163#95—891no—
1164#95—891no—
1165#95—891no—
1166#95—891no—
1167#95—891no—
1168#95—891no—
1169#95—891no—
1170#95—891no—
1171#95—891no—
1172#95—891no—
1173#95—891no—
1174#95—891no—
1175#95—891no—
1176#95—891no—
1177#95—891no—
1178#95—891no—
1179#95—891no—
1180#95—891no—
1181#95—891no—
1182#95C22×D8911yescharacteristic
1183#95C22×D8911yescharacteristic
1184#95C22×D8911yescharacteristic
1185#95C22×D8911yescharacteristic
1186#95C22×D8911yescharacteristic
1187#95C22×D8911yescharacteristic
1188C24—22no—
1189C24—22no—
1190C24—22no—
1191C24—41no—
1192C24—41no—
1193C24—41no—
1194C24—41no—
1195C24—891no—
1196C24—894no—
1197C24—891no—
1198C24—3561no—
1199C24—3561no—
1200C24—1782no—
1201C24—1782no—
1202C24—1782no—
1203C24—1782no—
1204C24C23×D8911yescharacteristic
1205C24C23×D8911yescharacteristic
1206C24C23×D8911yescharacteristic
1207C24C23×D8911yescharacteristic
1208C2×Q8—22no—
1209C2×Q8—41no—
1210C2×Q8—41no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—41no—
1217C2×D4—41no—
1218C2×D4—41no—
1219C2×D4—41no—
1220C2×D4—35616no—
1221C2×D4—3561no—
1222C2×D4—3561no—
1223C2×D4—3561no—
1224C2×D4—3561no—
1225C2×D4—3561no—
1226C2×D4—3561no—
1227C2×D4—1782no—
1228C2×D4—1782no—
1229C2×D4—1782no—
1230C2×D4—1782no—
1231C2×D4—1782no—
1232C2×D4—1782no—
1233C2×D4—1782no—
1234C2×D4—1782no—
1235C2×D4—1782no—
1236C2×D4—1782no—
1237C2×D4—1782no—
1238C2×D4—1782no—
1239C22×C4—22no—
1240C22×C4—22no—
1241C22×C4—22no—
1242C22×C4—41no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—894no—
1246C22×C4—891no—
1247C22×C4—891no—
1248C22×C4—891no—
1249C22×C4—891no—
1250C22×C4—891no—
1251C22×C4—891no—
1252C22×C4—891no—
1253C22×C4—891no—
1254C22×C4—891no—
1255C22×C4—891no—
1256C22×C4—891no—
1257C22×C4—891no—
1258C22×C4—891no—
1259C22×C4—891no—
1260C22×C4—3561no—
1261C22×C4—3561no—
1262C22×C4—3561no—
1263C22×C4—3561no—
1264C22×C4—3561no—
1265C22×C4—3561no—
1266C22×C4—3561no—
1267C22×C4—3561no—
1268C22×C4—35616no—
1269C22×C4—3561no—
1270C22×C4—3561no—
1271C22×C4—3561no—
1272C22×C4—3561no—
1273C22×C4—3561no—
1274C22×C4—3561no—
1275C22×C4—3561no—
1276C22×C4—3561no—
1277C22×C4—1782no—
1278C22×C4—1782no—
1279C22×C4—1782no—
1280C22×C4—1782no—
1281C22×C4—1782no—
1282C22×C4—1782no—
1283C22×C4—1782no—
1284C22×C4—1782no—
1285C22×C4—1782no—
1286C22×C4—1782no—
1287C22×C4—1782no—
1288C22×C4—1782no—
1289C22×C4—1782no—
1290C22×C4—1782no—
1291C22×C4—1782no—
1292C22×C4—1782no—
1293C22×C4—1782no—
1294C22×C4—1782no—
1295C22×C4—1782no—
1296C22×C4C23×D8911yescharacteristic
1297C22×C4C23×D8911yescharacteristic
1298C22×C4C23×D8911yescharacteristic
1299C22×C4C23×D8911yescharacteristic
1300C22×C4C23×D8911yescharacteristic
1301C22×C4C23×D8911yescharacteristic
1302C22×C4C23×D8911yescharacteristic
1303C22×C4C23×D8911yescharacteristic
1304C22×C4C23×D8911yescharacteristic
1305C22×C4C23×D8911yescharacteristic
1306C22×C4C23×D8911yescharacteristic
1307C4⋊C4—22no—
1308C4⋊C4—22no—
1309C4⋊C4—22no—
1310C4⋊C4—3561no—
1311C4⋊C4—3561no—
1312C4⋊C4—3561no—
1313C4⋊C4—3561no—
1314C4⋊C4—3561no—
1315C4⋊C4—3561no—
1316C4⋊C4—3561no—
1317C4⋊C4—3561no—
1318C4⋊C4—3561no—
1319C4⋊C4—3561no—
1320C4⋊C4—3561no—
1321C4⋊C4—3561no—
1322C4⋊C4—3561no—
1323C4⋊C4—3561no—
1324C4⋊C4—3561no—
1325C4⋊C4—3561no—
1326C4⋊C4—3561no—
1327C4⋊C4—1782no—
1328C4⋊C4—1782no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—41no—
1339C22⋊C4—41no—
1340C22⋊C4—41no—
1341C22⋊C4—41no—
1342C22⋊C4—41no—
1343C22⋊C4—41no—
1344C22⋊C4—41no—
1345C22⋊C4—3561no—
1346C22⋊C4—3561no—
1347C22⋊C4—3561no—
1348C22⋊C4—3561no—
1349C22⋊C4—3561no—
1350C22⋊C4—3561no—
1351C22⋊C4—3561no—
1352C22⋊C4—3561no—
1353C22⋊C4—3561no—
1354C22⋊C4—3561no—
1355C22⋊C4—3561no—
1356C22⋊C4—3561no—
1357C22⋊C4—3561no—
1358C22⋊C4—3561no—
1359C22⋊C4—3561no—
1360C22⋊C4—3561no—
1361C22⋊C4—1782no—
1362C22⋊C4—1782no—
1363C22⋊C4—1782no—
1364C22⋊C4—1782no—
1365C22⋊C4—1782no—
1366C22⋊C4—1782no—
1367C22⋊C4—1782no—
1368C22⋊C4—1782no—
1369C22⋊C4—1782no—
1370C22⋊C4—1782no—
1371C22⋊C4—1782no—
1372C22⋊C4—1782no—
1373C22⋊C4—1782no—
1374C22⋊C4—1782no—
1375C22⋊C4—1782no—
1376C22⋊C4—1782no—
1377C22⋊C4—1782no—
1378C22⋊C4—1782no—
1379C22⋊C4—1782no—
1380C22⋊C4#1308357314yes—
1381C42—22no—
1382C42—41no—
1383C42—3561no—
1384C42—3561no—
1385C42—3561no—
1386C42—3561no—
1387C42—3561no—
1388C42—3561no—
1389C42—3561no—
1390C42—1782no—
1391C42—1782no—
1392C23—21no—
1393C23—21no—
1394C23—21no—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—21no—
1409C23—21no—
1410C23—21no—
1411C23—21no—
1412C23—21no—
1413C23—21no—
1414C23—21no—
1415C23—21no—
1416C23—21no—
1417C23—44no—
1418C23—44no—
1419C23—44no—
1420C23—82no—
1421C23—82no—
1422C23—82no—
1423C23—82no—
1424C23—892no—
1425C23—892no—
1426C23—892no—
1427C23—892no—
1428C23—3564no—
1429C23—3564no—
1430C23—3564no—
1431C23—3564no—
1432C23—3564no—
1433C23—1788no—
1434C23—1781no—
1435C23—1781no—
1436C23—1781no—
1437C23—1781no—
1438C23—1781no—
1439C23—1781no—
1440C23—1788no—
1441C23—1781no—
1442C23—1781no—
1443C23—1781no—
1444C23—1781no—
1445C23#41×D8912yes—
1446C23#41×D8912yes—
1447C23C2×#1308357312yes—
1448C23C24×D8911yescharacteristic
1449Q8—82no—
1450D4—44no—
1451D4—82no—
1452D4—82no—
1453D4—3564no—
1454D4—3564no—
1455D4—3564no—
1456D4—3564no—
1457D4—3564no—
1458D4—3564no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—21no—
1480C2×C4—21no—
1481C2×C4—21no—
1482C2×C4—21no—
1483C2×C4—21no—
1484C2×C4—21no—
1485C2×C4—21no—
1486C2×C4—21no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—44no—
1490C2×C4—82no—
1491C2×C4—892no—
1492C2×C4—892no—
1493C2×C4—3564no—
1494C2×C4—3564no—
1495C2×C4—3564no—
1496C2×C4—3564no—
1497C2×C4—3564no—
1498C2×C4—3564no—
1499C2×C4—3564no—
1500C2×C4—3564no—
1501C2×C4—3564no—
1502C2×C4—1788no—
1503C2×C4—1781no—
1504C2×C4—1781no—
1505C2×C4—1781no—
1506C2×C4—1781no—
1507C2×C4—1781no—
1508C2×C4—1781no—
1509C2×C4—1781no—
1510C2×C4—1781no—
1511C2×C4—1781no—
1512C2×C4—1781no—
1513C2×C4—1781no—
1514C2×C4—1781no—
1515C2×C4—1781no—
1516C2×C4—1781no—
1517C2×C4—1781no—
1518C2×C4—1781no—
1519C2×C4—1781no—
1520C2×C4—1781no—
1521C2×C4—1781no—
1522C2×C4—1781no—
1523C2×C4—1781no—
1524C2×C4—1781no—
1525C2×C4—1781no—
1526C2×C4—1781no—
1527C2×C4—1781no—
1528C2×C4—1781no—
1529C2×C4—1781no—
1530C2×C4—1781no—
1531C2×C4—1781no—
1532C2×C4—1781no—
1533C2×C4—1781no—
1534C2×C4—1781no—
1535C2×C4—1781no—
1536C2×C4—1781no—
1537C2×C4—1781no—
1538C2×C4—1781no—
1539C2×C4—1781no—
1540C2×C4—1781no—
1541C2×C4—1781no—
1542C2×C4—1781no—
1543C2×C4—7122no—
1544C2×C4—7122no—
1545C2×C4C2×#1308357312yes—
1546C2×C4C2×#1308357312yes—
1547C2×C4#1566805712yes—
1548C22—22no—
1549C22—22no—
1550C22—22no—
1551C22—22no—
1552C22—22no—
1553C22—22no—
1554C22—41no—
1555C22—41no—
1556C22—41no—
1557C22—41no—
1558C22—41no—
1559C22—41no—
1560C22—41no—
1561C22—41no—
1562C22—41no—
1563C22—41no—
1564C22—41no—
1565C22—41no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—41no—
1571C22—41no—
1572C22—41no—
1573C22—41no—
1574C22—41no—
1575C22—88no—
1576C22—894no—
1577C22—35616no—
1578C22—3561no—
1579C22—3561no—
1580C22—3561no—
1581C22—3561no—
1582C22—1782no—
1583C22—1782no—
1584C22—1782no—
1585C22—1782no—
1586C22—1782no—
1587C22—1782no—
1588C22—1782no—
1589C22—1782no—
1590C22—1782no—
1591C22#1915212714yes—
1592C22C2×#41×D8911yescharacteristic
1593C22C2×#41×D8911yescharacteristic
1594C22C22×#1308357311yescharacteristic
1595C22H(5,𝔽2)×D8911yescharacteristic
1596C22H(5,𝔽2)×D8911yescharacteristic
1597C22C2×#1566805711yescharacteristic
1598C22#1915243411yescharacteristic
1599C4—22no—
1600C4—22no—
1601C4—22no—
1602C4—41no—
1603C4—41no—
1604C4—41no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—3561no—
1611C4—3561no—
1612C4—3561no—
1613C4—3561no—
1614C4—3561no—
1615C4—3561no—
1616C4—3561no—
1617C4—3561no—
1618C4—3561no—
1619C4—3561no—
1620C4—3561no—
1621C4—3561no—
1622C4—1782no—
1623C4—1782no—
1624C2—24no—
1625C2—81no—
1626C2—81no—
1627C2—81no—
1628C2—3562no—
1629C2—1784no—
1630C2C2×#1915212711yescharacteristic
1631C2#538×D8911yescharacteristic
1632C2#2603365911yescharacteristic
1633C2#2603393411yescharacteristic
1634C2#2603397811yescharacteristic
1635C2#2603418111yescharacteristic
1636C2#2603427511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2472C2
prime radical#26023622C2
hypercenter#2472D89
hypocenterC89#34998
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. #26028582C2semidirect
2. #26028572C2semidirect
3. #26028566C2semidirect
4. #26028548C2semidirect
5. #26026312C2semidirect
6. #26026252C2semidirect
7. #26026237C2semidirect
8. #26026237C2semidirect
9. #26024914C2semidirect
10. #26024907C2semidirect
11. #26024814C2semidirect
12. #26024805C2semidirect
13. #26024747C2semidirect
14. #26024571C2semidirect
15. #26024492C2semidirect
16. #26024309C2semidirect
17. #26024185C2semidirect
18. #26023995C2semidirect
19. #26023915C2semidirect
20. #26023804C2semidirect
21. #26023647C2semidirect
23. #26023577C2semidirect
24. #26022987C2semidirect
25. #26022913C2semidirect
26. #26022878C2semidirect
27. #26022848C2semidirect
28. #26022757C2semidirect
29. C2×#19151474C2semidirect
30. C4×C22⋊C4×D89C2semidirect
31. C89×#2472C2semidirect
34. C2×#15668005C22semidirect
37. C2×#15667994C22semidirect
38. C2×#15667988C22semidirect
43. C2×#15667972C22semidirect
44. C2×#15667972C22semidirect
49. C2×C42×D89C22semidirect
50. C2×C42×D89C22semidirect
51. C89⋊#401C22semidirect
52. #19151540C22semidirect
53. #19151540C22semidirect
54. #19151540C22semidirect
55. #19151538C22semidirect
56. #19151533C22semidirect
57. #19151532C22semidirect
58. #19151527C22semidirect
59. #19151526C22semidirect
60. #19151526C22semidirect
61. #19151526C22semidirect
62. #19151525C22semidirect
63. #19151523C22semidirect
64. #19151523C22semidirect
65. #19151521C22semidirect
66. #19151520C22semidirect
67. #19151520C22semidirect
72. #19151514C22semidirect
75. #19151513C22semidirect
76. #19151509C22semidirect
79. #19151505C22semidirect
80. #19151505C22semidirect
81. #19151501C22semidirect
82. #19151501C22semidirect
83. #19151497C22semidirect
84. #19151497C22semidirect
85. #19151496C22semidirect
86. #19151492C22semidirect
87. #19151492C22semidirect
88. #19151492C22semidirect
89. #19151492C22semidirect
90. #19151492C22semidirect
91. #19151492C22semidirect
92. #19151491C22semidirect
93. #19151491C22semidirect
94. #19151491C22semidirect
95. #19151491C22semidirect
96. #19151491C22semidirect
97. #19151491C22semidirect
98. #19151486C22semidirect
99. #19151486C22semidirect
100. #19151486C22semidirect
101. #19151486C22semidirect
102. #19151486C22semidirect
103. #19151486C22semidirect
104. #19151486C22semidirect
105. #19151485C22semidirect
106. #19151484C22semidirect
107. #19151484C22semidirect
108. #19151484C22semidirect
109. #19151484C22semidirect
110. #19151483C22semidirect
111. #19151482C22semidirect
112. #19151482C22semidirect
113. #19151481C22semidirect
116. #19151478C22semidirect
117. #19151478C22semidirect
130. #19151474C22semidirect
131. #19151474C22semidirect
132. #19151474C22semidirect
136. #19151472C22semidirect
137. #19151472C22semidirect
138. #19151472C22semidirect
142. #19151469C22semidirect
143. #19151469C22semidirect
144. #19151465C22semidirect
145. #19151465C22semidirect
146. #19151464C22semidirect
147. #19151462C22semidirect
148. #19151460C22semidirect
149. #19151459C22semidirect
153. #19151456C22semidirect
154. #19151455C22semidirect
161. C4×#13083551C22semidirect
162. C4×#13083551C22semidirect
164. #19151445C22semidirect
165. #19151445C22semidirect
166. #19151445C22semidirect
167. #19151445C22semidirect
170. #95×D89C22semidirect
171. #95×D89C22semidirect
172. C2×#124×C89C22semidirect
176. #397×C89C22semidirect
177. #394×C89C22semidirect
178. #394×C89C22semidirect
179. #393×C89C22semidirect
180. #390×C89C22semidirect
181. #388×C89C22semidirect
182. #388×C89C22semidirect
834. #2472D89semidirect
850. C89#34998semidirect
854. C2×#124C2×D89semidirect
888. #397C2×D89semidirect
900. #394C2×D89semidirect
901. #394C2×D89semidirect
903. #393C2×D89semidirect
910. #390C2×D89semidirect
933. #388C2×D89semidirect
934. #388C2×D89semidirect

Maximal subgroups

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

subgroupindex
#260285822
#260285722
#260285662
#260285482
#260263122
#260262522
#260262372
#260249142
#260249072
#260248142
#260248052
#260247472
#260245712
#260244922
#260243092
#260241852
#260239952
#260239152
#260238042
#260236472
#260236222
#260235772
#260229872
#260229132
#260228782
#260228482
#260227572
C2×#191514742
C4×C22⋊C4×D892
C89×#24722
#3499889