Finite Group Databasebeta

← #36727104

Subgroups — #36727104

Order 22784.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152182C211yesmaximal, characteristic, complemented
2C22×#15667972C211yesmaximal, characteristic, complemented
3#26028565C211yesmaximal, characteristic, complemented
4#26028555C211yesmaximal, characteristic, complemented
5#26028546C211yesmaximal, characteristic, complemented
6#26028532C211yesmaximal, characteristic, complemented
7#26026154C211yesmaximal, characteristic, complemented
8#26026138C211yesmaximal, characteristic, complemented
9#26026110C211yesmaximal, characteristic, complemented
10#26026094C211yesmaximal, characteristic, complemented
11#26024513C211yesmaximal, characteristic, complemented
12#26024307C211yesmaximal, characteristic, complemented
13#26024185C211yesmaximal, characteristic, complemented
14#26024150C211yesmaximal, characteristic, complemented
15#26024141C211yesmaximal, characteristic, complemented
16#26024069C211yesmaximal, characteristic, complemented
17#26023997C211yesmaximal, characteristic, complemented
18#26023989C211yesmaximal, characteristic, complemented
19#26023915C211yesmaximal, characteristic, complemented
20#26023789C211yesmaximal, characteristic, complemented
21#26023788C211yesmaximal, characteristic, complemented
22#26023709C211yesmaximal, characteristic, complemented
23#26023628C211yesmaximal, characteristic, complemented
24#26023625C211yesmaximal, characteristic, complemented
25#26023563C211yesmaximal, characteristic, complemented
26#26022956C211yesmaximal, characteristic, complemented
27#26022911C211yesmaximal, characteristic, complemented
28#26022882C211yesmaximal, characteristic, complemented
29C4×#15667982C211yesmaximal, characteristic, complemented
30#386×D89C211yesmaximal, characteristic, complemented
31C89×#2472C211yesmaximal, characteristic, complemented
32C23×C22⋊D89C2211yescharacteristic
33C22×D4×D89C2211yescharacteristic
34C24×Dic89C2211yescharacteristic, complemented
35C23×C4×D89C2211yescharacteristic
36#19152182—28no—
37C2×#15668006C2211yescharacteristic, complemented
38C2×#15668005C2211yescharacteristic, complemented
39C2×#15668001C2211yescharacteristic, complemented
40C2×#15667996C2211yescharacteristic, complemented
41C2×#15667996C2211yescharacteristic, complemented
42C2×#15667994C2211yescharacteristic, complemented
43C2×#15667988C2211yescharacteristic, complemented
44C2×#15667986C2211yescharacteristic
45C2×#15667985C2211yescharacteristic
46C2×#15667985C2211yescharacteristic
47C2×#15667985C2211yescharacteristic, complemented
48C2×#15667984C2211yescharacteristic
49C2×#15667984C2211yescharacteristic, complemented
50C2×#15667984C2211yescharacteristic, complemented
51C2×#15667982C2211yescharacteristic
52C2×#15667982C2211yescharacteristic, complemented
53C2×#15667981C2211yescharacteristic
54C2×#15667981C2211yescharacteristic, complemented
55C2×#15667980C2211yescharacteristic
56C2×#15667980C2211yescharacteristic
57C2×C4×D356C2211yescharacteristic, complemented
58C2×C4×D356C2211yescharacteristic, complemented
59C2×C4×C22⋊D89C2211yescharacteristic, complemented
60C2×#15667972—28no—
61C2×#15667972C2211yescharacteristic
62C2×#15667972C2211yescharacteristic
63C2×#15667972C2211yescharacteristic
64C2×#15667972C2211yescharacteristic
65C2×#15667972C2211yescharacteristic, complemented
66C2×#15667972C2211yescharacteristic, complemented
67C2×#15667972C2211yescharacteristic, complemented
68C2×#15667972C2211yescharacteristic, complemented
69C22×#13083553C2211yescharacteristic, complemented
70C22×#13083551C2211yescharacteristic
71C2×C22⋊C4×D89C2211yescharacteristic
72C2×C22⋊C4×D89C2211yescharacteristic, complemented
73C2×C22⋊C4×D89C2211yescharacteristic, complemented
74C22×C4×Dic89C2211yescharacteristic, complemented
75#19151539C2211yescharacteristic, complemented
76#19151539C2211yescharacteristic, complemented
77#19151534C2211yescharacteristic, complemented
78#19151533C2211yescharacteristic, complemented
79#19151532C2211yescharacteristic, complemented
80#19151527C2211yescharacteristic, complemented
81#19151527C2211yescharacteristic, complemented
82#19151522C2211yescharacteristic, complemented
83#19151521C2211yescharacteristic, complemented
84#19151520C2211yescharacteristic, complemented
85#19151520C2211yescharacteristic, complemented
86#19151516C2211yescharacteristic, complemented
87#19151514C2211yescharacteristic, complemented
88#19151513C2211yescharacteristic, complemented
89#19151513C2211yescharacteristic, complemented
90#19151513C2211yescharacteristic, complemented
91#19151513C2211yescharacteristic, complemented
92#19151513C2211yescharacteristic, complemented
93#19151509C2211yescharacteristic, complemented
94#19151508C2211yescharacteristic, complemented
95#19151507C2211yescharacteristic
96#19151507C2211yescharacteristic
97#19151507C2211yescharacteristic, complemented
98#19151507C2211yescharacteristic, complemented
99#19151507C2211yescharacteristic, complemented
100#19151507C2211yescharacteristic, complemented
101#19151506C2211yescharacteristic
102#19151506C2211yescharacteristic
103#19151505C2211yescharacteristic, complemented
104#19151499C2211yescharacteristic, complemented
105#19151498C2211yescharacteristic, complemented
106#19151492C2211yescharacteristic, complemented
107#19151492C2211yescharacteristic, complemented
108#19151491C2211yescharacteristic, complemented
109#19151491C2211yescharacteristic, complemented
110#19151489C2211yescharacteristic, complemented
111#19151488C2211yescharacteristic, complemented
112#19151488C2211yescharacteristic, complemented
113#19151488C2211yescharacteristic, complemented
114#19151488C2211yescharacteristic, complemented
115#19151486C2211yescharacteristic, complemented
116#19151485C2211yescharacteristic, complemented
117#19151483C2211yescharacteristic, complemented
118#19151482C2211yescharacteristic, complemented
119#19151482C2211yescharacteristic, complemented
120#19151480C2211yescharacteristic, complemented
121#19151480C2211yescharacteristic, complemented
122#19151478C2211yescharacteristic
123#19151478C2211yescharacteristic
124#19151478C2211yescharacteristic, complemented
125#19151478C2211yescharacteristic, complemented
126#19151477C2211yescharacteristic
127#19151476C2211yescharacteristic, complemented
128#19151476C2211yescharacteristic, complemented
129#19151476C2211yescharacteristic, complemented
130#19151476C2211yescharacteristic, complemented
131#19151476C2211yescharacteristic, complemented
132#19151475C2211yescharacteristic
133#19151475C2211yescharacteristic
134#19151475C2211yescharacteristic
135#19151475C2211yescharacteristic, complemented
136#19151475C2211yescharacteristic, complemented
137#19151475C2211yescharacteristic, complemented
138#19151475C2211yescharacteristic, complemented
139#19151475C2211yescharacteristic, complemented
140#19151475C2211yescharacteristic, complemented
141#19151474C2211yescharacteristic
142#19151474C2211yescharacteristic
143#19151474C2211yescharacteristic
144#19151474C2211yescharacteristic
145#19151474C2211yescharacteristic, complemented
146#19151474C2211yescharacteristic, complemented
147#19151474C2211yescharacteristic, complemented
148#19151473C2211yescharacteristic, complemented
149#19151473C2211yescharacteristic, complemented
150#19151473C2211yescharacteristic, complemented
151#19151473C2211yescharacteristic, complemented
152#19151472C2211yescharacteristic, complemented
153#19151472C2211yescharacteristic, complemented
154#19151472C2211yescharacteristic, complemented
155#19151472C2211yescharacteristic, complemented
156#19151471C2211yescharacteristic, complemented
157#19151470C2211yescharacteristic, complemented
158#19151469C2211yescharacteristic, complemented
159#19151469C2211yescharacteristic, complemented
160#19151465C2211yescharacteristic, complemented
161#19151463C2211yescharacteristic, complemented
162#19151459C2211yescharacteristic, complemented
163#19151459C2211yescharacteristic, complemented
164#19151456C2211yescharacteristic, complemented
165#19151456C2211yescharacteristic, complemented
166#19151456C2211yescharacteristic, complemented
167#19151455C2211yescharacteristic, complemented
168#19151453C2211yescharacteristic
169#19151453C2211yescharacteristic, complemented
170C4×#13083551C2211yescharacteristic, complemented
171C4×#13083551C2211yescharacteristic, complemented
172#95×D89C2211yescharacteristic, complemented
173#95×D89C2211yescharacteristic, complemented
174C2×#124×C89C2211yescharacteristic, complemented
175C2×C22⋊Q8×C89C2211yescharacteristic, complemented
176C2×#120×C89C2211yescharacteristic
177C22×C22⋊C4×C89C2211yescharacteristic, complemented
178#397×C89C2211yescharacteristic, complemented
179#394×C89C2211yescharacteristic, complemented
180#394×C89C2211yescharacteristic, complemented
181#393×C89C2211yescharacteristic, complemented
182#390×C89C2211yescharacteristic, complemented
183#388×C89C2211yescharacteristic, complemented
184#388×C89C2211yescharacteristic, complemented
185#386×C89C2211yescharacteristic
186#386×C89C2211yescharacteristic
187#379×C89C2211yescharacteristic, complemented
188C4×C22⋊C4×C89C2211yescharacteristic, complemented
189C24×D89C2311yescharacteristic
190C24×D89C2311yescharacteristic
191C22×D356C2311yescharacteristic
192C22×D356C2311yescharacteristic
193C22×D356C2311yescharacteristic
194C22×D356C2311yescharacteristic
195C22×C22⋊D89—24no—
196C22×C22⋊D89—24no—
197C22×C22⋊D89—24no—
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
210C2×D4×D89—24no—
211C2×D4×D89—42no—
212C2×D4×D89—42no—
213C23×Dic89—24no—
214C23×Dic89—42no—
215C23×Dic89—42no—
216C23×Dic89C2311yescharacteristic
217C23×Dic89C2311yescharacteristic
218C23×Dic89C2311yescharacteristic
219C23×Dic89C2311yescharacteristic
220C23×Dic89C2311yescharacteristic
221C23×Dic89C2311yescharacteristic
222C23×Dic89C2311yescharacteristic
223C22×C4×D89—24no—
224C22×C4×D89—42no—
225C22×C4×D89—42no—
226C22×C4×D89C2311yescharacteristic
227C22×C4×D89C2311yescharacteristic
228C22×C4×D89C2311yescharacteristic
229C22×C4×D89C2311yescharacteristic
230C22×C4×D89C2311yescharacteristic
231C22×C4×D89C2311yescharacteristic
232C22×C4×D89C2311yescharacteristic
233C22×C4×D89C2311yescharacteristic
234#15668006—24no—
235#15668005—24no—
236#15668001—24no—
237#15667996—24no—
238#15667996—42no—
239#15667994—24no—
240#15667988—24no—
241#15667986—42no—
242#15667985—24no—
243#15667985—24no—
244#15667985—24no—
245#15667984—24no—
246#15667984—42no—
247#15667984—42no—
248#15667982—24no—
249#15667982—24no—
250#15667981—42no—
251#15667981—42no—
252#15667980—24no—
253#15667980—24no—
254C4×D356—24no—
255C4×D356—42no—
256C4×C22⋊D89—42no—
257#15667972—24no—
258#15667972—24no—
259#15667972—24no—
260#15667972—24no—
261#15667972—24no—
262#15667972—24no—
263#15667972—24no—
264#15667972D418yescomplemented
265C2×C4⋊Dic89C2311yescharacteristic
266C2×C4⋊Dic89C2311yescharacteristic
267C2×C4⋊Dic89C2311yescharacteristic
268C2×C4⋊Dic89C2311yescharacteristic
269C2×C4⋊Dic89C2311yescharacteristic
270C2×#13083553—24no—
271C2×#13083553C2311yescharacteristic
272C2×#13083553C2311yescharacteristic
273C2×#13083553C2311yescharacteristic
274C2×#13083553C2311yescharacteristic
275C2×#13083553C2311yescharacteristic
276C2×#13083553C2311yescharacteristic
277C2×#13083553C2311yescharacteristic
278C2×#13083553C2311yescharacteristic
279C2×#13083553C2311yescharacteristic
280C2×#13083553C2311yescharacteristic
281C2×#13083553C2311yescharacteristic
282C2×#13083553C2311yescharacteristic
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×#13083551—24no—
295C2×#13083551C2311yescharacteristic
296C2×#13083551C2311yescharacteristic
297C2×#13083551C2311yescharacteristic
298C2×#13083551C2311yescharacteristic
299C2×#13083551C2311yescharacteristic
300C2×#13083551C2311yescharacteristic
301C2×#13083551C2311yescharacteristic
302C2×#13083551C2311yescharacteristic
303C2×#13083551C2311yescharacteristic
304C2×#13083551C2311yescharacteristic
305C2×#13083551C2311yescharacteristic
306C2×#13083551C2311yescharacteristic
307C2×#13083551C2311yescharacteristic
308C2×#13083551C2311yescharacteristic
309C2×#13083551C2311yescharacteristic
310C2×#13083551C2311yescharacteristic
311C2×#13083551C2311yescharacteristic
312C2×#13083551C2311yescharacteristic
313C2×#13083551C2311yescharacteristic
314C2×#13083551C2311yescharacteristic
315C2×#13083551C2311yescharacteristic
316C2×#13083551C2311yescharacteristic
317C2×#13083551C2311yescharacteristic
318C2×#13083551C2311yescharacteristic
319C2×#13083551C2311yescharacteristic
320C2×#13083551C2311yescharacteristic
321C2×#13083551C2311yescharacteristic
322C2×#13083551C2311yescharacteristic
323C22⋊C4×D89—24no—
324C22⋊C4×D89—42no—
325C22⋊C4×D89—42no—
326C2×C4×Dic89—24no—
327C2×C4×Dic89C2311yescharacteristic
328C2×C4×Dic89C2311yescharacteristic
329C2×C4×Dic89C2311yescharacteristic
330C2×C4×Dic89C2311yescharacteristic
331C2×C4×Dic89C2311yescharacteristic
332#15667919C2311yescharacteristic
333#15667919C2311yescharacteristic
334#15667919C2311yescharacteristic
335#15667919C2311yescharacteristic
336#15667919C2311yescharacteristic
337#15667919C2311yescharacteristic
338#15667919C2311yescharacteristic
339#15667919C2311yescharacteristic
340#15667919C2311yescharacteristic
341#15667919C2311yescharacteristic
342#15667919C2311yescharacteristic
343#15667919C2311yescharacteristic
344#15667919C2311yescharacteristic
345#15667919C2311yescharacteristic
346#15667919C2311yescharacteristic
347#15667919C2311yescharacteristic
348#15667919C2311yescharacteristic
349#15667919C2311yescharacteristic
350#15667919C2311yescharacteristic
351#15667919C2311yescharacteristic
352#15667919C2311yescharacteristic
353#15667919C2311yescharacteristic
354#15667919C2311yescharacteristic
355#15667919C2311yescharacteristic
356#15667919C2311yescharacteristic
357#15667919C2311yescharacteristic
358C25×C89C2311yescharacteristic
359C22×Q8×C89C2311yescharacteristic
360C22×D4×C89C2311yescharacteristic
361C22×D4×C89C2311yescharacteristic
362C22×D4×C89C2311yescharacteristic
363C23×C4×C89C2311yescharacteristic
364C23×C4×C89C2311yescharacteristic
365#124×C89—24no—
366C22⋊Q8×C89—42no—
367#120×C89—42no—
368C2×C4⋊C4×C89C2311yescharacteristic
369C2×C4⋊C4×C89C2311yescharacteristic
370C2×C4⋊C4×C89C2311yescharacteristic
371C2×C22⋊C4×C89—24no—
372C2×C22⋊C4×C89C2311yescharacteristic
373C2×C22⋊C4×C89C2311yescharacteristic
374C2×C22⋊C4×C89C2311yescharacteristic
375C2×C22⋊C4×C89C2311yescharacteristic
376C2×C22⋊C4×C89C2311yescharacteristic
377C2×C22⋊C4×C89C2311yescharacteristic
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×C42×C89C2311yescharacteristic
390C2×C42×C89C2311yescharacteristic
391#95×C89C2311yescharacteristic
392#95×C89C2311yescharacteristic
393#95×C89C2311yescharacteristic
394#95×C89C2311yescharacteristic
395#95×C89C2311yescharacteristic
396#95×C89C2311yescharacteristic
397C23×D89—22no—
398C23×D89—22no—
399C23×D89—22no—
400C23×D89—22no—
401C23×D89—22no—
402C23×D89—22no—
403C23×D89—22no—
404C23×D89—41no—
405C23×D89—41no—
406C23×D89—41no—
407C23×D89—41no—
408C23×D89—41no—
409C23×D89—41no—
410C23×D89#4114yes—
411C23×D89C2411yescharacteristic
412C23×D89C2411yescharacteristic
413C23×D89C2411yescharacteristic
414C23×D89C2411yescharacteristic
415C2×D356—22no—
416C2×D356—22no—
417C2×D356—22no—
418C2×D356—22no—
419C2×D356—22no—
420C2×D356—22no—
421C2×D356—41no—
422C2×D356—41no—
423C2×D356—41no—
424C2×D356—41no—
425C2×D356—41no—
426C2×D356—41no—
427C2×C22⋊D89—232no—
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—22no—
437C2×C22⋊D89—22no—
438C2×C22⋊D89—22no—
439C2×C22⋊D89—22no—
440C2×C22⋊D89—22no—
441C2×C22⋊D89—22no—
442C2×C22⋊D89—22no—
443C2×C22⋊D89—22no—
444C2×C22⋊D89—22no—
445C2×C22⋊D89—22no—
446C2×C22⋊D89—22no—
447C2×C22⋊D89—22no—
448C2×C22⋊D89—22no—
449C2×C22⋊D89—22no—
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⋊D89C2×D414yes—
463C2×C22⋊D89#4114yes—
464D4×D89—416no—
465C22×Dic89—22no—
466C22×Dic89—22no—
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—22no—
477C22×Dic89—22no—
478C22×Dic89—41no—
479C22×Dic89—41no—
480C22×Dic89—41no—
481C22×Dic89—41no—
482C22×Dic89—41no—
483C22×Dic89—41no—
484C22×Dic89—41no—
485C22×Dic89—416no—
486C22×Dic89C2×D414yescomplemented
487C22×Dic89C2411yescharacteristic
488C22×Dic89C2411yescharacteristic
489C22×Dic89C2411yescharacteristic
490C22×Dic89C2411yescharacteristic
491C22×Dic89C2411yescharacteristic
492C22×Dic89C2411yescharacteristic
493C22×Dic89C2411yescharacteristic
494C22×Dic89C2411yescharacteristic
495C22×Dic89C2411yescharacteristic
496C22×Dic89C2411yescharacteristic
497C22×Dic89C2411yescharacteristic
498C22×Dic89C2411yescharacteristic
499C2×C4×D89—22no—
500C2×C4×D89—22no—
501C2×C4×D89—22no—
502C2×C4×D89—22no—
503C2×C4×D89—22no—
504C2×C4×D89—22no—
505C2×C4×D89—22no—
506C2×C4×D89—22no—
507C2×C4×D89—22no—
508C2×C4×D89—41no—
509C2×C4×D89—41no—
510C2×C4×D89—41no—
511C2×C4×D89—41no—
512C2×C4×D89—41no—
513C2×C4×D89—41no—
514C2×C4×D89—41no—
515C2×C4×D89—41no—
516C2×C4×D89—416no—
517C2×C4×D89—41no—
518C2×C4×D89—41no—
519C2×C4×D89—41no—
520C2×C4×D89—41no—
521C2×C4×D89—41no—
522C2×C4×D89—41no—
523C2×C4×D89C2×D414yes—
524C4⋊Dic89—22no—
525C4⋊Dic89—22no—
526C4⋊Dic89—22no—
527C4⋊Dic89—41no—
528C4⋊Dic89—41no—
529#13083553—22no—
530#13083553—22no—
531#13083553—22no—
532#13083553—22no—
533#13083553—22no—
534#13083553—22no—
535#13083553—22no—
536#13083553—41no—
537#13083553—41no—
538#13083553—41no—
539#13083553—41no—
540#13083553C2×D414yescomplemented
541C22⋊Dic89—22no—
542C22⋊Dic89—22no—
543C22⋊Dic89—22no—
544C22⋊Dic89—22no—
545C22⋊Dic89—22no—
546C22⋊Dic89—22no—
547C22⋊Dic89—41no—
548C22⋊Dic89—41no—
549C22⋊Dic89—41no—
550C22⋊Dic89—41no—
551C22⋊Dic89—41no—
552#13083551—22no—
553#13083551—22no—
554#13083551—22no—
555#13083551—22no—
556#13083551—22no—
557#13083551—22no—
558#13083551—22no—
559#13083551—22no—
560#13083551—22no—
561#13083551—22no—
562#13083551—22no—
563#13083551—22no—
564#13083551—22no—
565#13083551—22no—
566#13083551—22no—
567#13083551—22no—
568#13083551—22no—
569#13083551—41no—
570#13083551—41no—
571#13083551—41no—
572#13083551—41no—
573#13083551—41no—
574#13083551—41no—
575#13083551—41no—
576#13083551—41no—
577#13083551—41no—
578#13083551—41no—
579#13083551C2×D414yes—
580C4×Dic89—22no—
581C4×Dic89—22no—
582C4×Dic89—22no—
583C4×Dic89—41no—
584C4×Dic89C2×D414yescomplemented
585C24×C89—22no—
586C24×C89—22no—
587C24×C89—22no—
588C24×C89—22no—
589C24×C89—22no—
590C24×C89—41no—
591C24×C89—41no—
592C24×C89C2411yescharacteristic
593C24×C89C2411yescharacteristic
594C24×C89C2411yescharacteristic
595C24×C89C2411yescharacteristic
596C2×Q8×C89—22no—
597C2×Q8×C89—41no—
598C2×Q8×C89—41no—
599C2×D4×C89—22no—
600C2×D4×C89—22no—
601C2×D4×C89—22no—
602C2×D4×C89—22no—
603C2×D4×C89—22no—
604C2×D4×C89—41no—
605C2×D4×C89—41no—
606C2×D4×C89—41no—
607C2×D4×C89—41no—
608C22×C4×C89—22no—
609C22×C4×C89—22no—
610C22×C4×C89—22no—
611C22×C4×C89—22no—
612C22×C4×C89—41no—
613C22×C4×C89—41no—
614C22×C4×C89C2411yescharacteristic
615C22×C4×C89C2411yescharacteristic
616C22×C4×C89C2411yescharacteristic
617C22×C4×C89C2411yescharacteristic
618C22×C4×C89C2411yescharacteristic
619C22×C4×C89C2411yescharacteristic
620C22×C4×C89C2411yescharacteristic
621C22×C4×C89C2411yescharacteristic
622C22×C4×C89C2411yescharacteristic
623C22×C4×C89C2411yescharacteristic
624C22×C4×C89C2411yescharacteristic
625C4⋊C4×C89—41no—
626C4⋊C4×C89—41no—
627C4⋊C4×C89—41no—
628C22⋊C4×C89—22no—
629C22⋊C4×C89—22no—
630C22⋊C4×C89—22no—
631C22⋊C4×C89—22no—
632C22⋊C4×C89—22no—
633C22⋊C4×C89—22no—
634C22⋊C4×C89—22no—
635C22⋊C4×C89—22no—
636C22⋊C4×C89—22no—
637C22⋊C4×C89—22no—
638C22⋊C4×C89—41no—
639C22⋊C4×C89—41no—
640C22⋊C4×C89—41no—
641C22⋊C4×C89—41no—
642C22⋊C4×C89—41no—
643C22⋊C4×C89—41no—
644C22⋊C4×C89C2×D414yescomplemented
645C42×C89—22no—
646C42×C89—41no—
647C23×C89—21no—
648C23×C89—21no—
649C23×C89—21no—
650C23×C89—21no—
651C23×C89—28no—
652C23×C89—21no—
653C23×C89—21no—
654C23×C89—21no—
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—44no—
672C23×C89—44no—
673C23×C89—44no—
674C23×C89—44no—
675C23×C89—44no—
676C23×C89—44no—
677C23×C89C22×D412yes—
678C23×C89C2×#4112yes—
679C23×C89C2×#4112yes—
680C23×C89H(5,𝔽2)12yes—
681C23×C89H(5,𝔽2)12yes—
682C23×C89C2511yescharacteristic
683C22×D89—21no—
684C22×D89—21no—
685C22×D89—21no—
686C22×D89—21no—
687C22×D89—28no—
688C22×D89—21no—
689C22×D89—21no—
690C22×D89—21no—
691C22×D89—21no—
692C22×D89—21no—
693C22×D89—21no—
694C22×D89—28no—
695C22×D89—21no—
696C22×D89—21no—
697C22×D89—21no—
698C22×D89—21no—
699C22×D89—21no—
700C22×D89—21no—
701C22×D89—21no—
702C22×D89—21no—
703C22×D89—21no—
704C22×D89—21no—
705C22×D89—21no—
706C22×D89—21no—
707C22×D89—21no—
708C22×D89—21no—
709C22×D89—44no—
710C22×D89—44no—
711C22×D89—44no—
712C22×D89—44no—
713C22×D89—44no—
714C22×D89—44no—
715C22×D89—44no—
716C22×D89—44no—
717C22×D89—82no—
718C22×D89—82no—
719C22×D89—82no—
720C22×D89—82no—
721C22×D89C22×D412yes—
722C22×D89C2×#4112yes—
723C22×D89C2×#4112yes—
724C22×D89C2×#4112yes—
725Q8×C89—82no—
726D4×C89—44no—
727D4×C89—82no—
728D4×C89—82no—
729C2×C4×C89—21no—
730C2×C4×C89—21no—
731C2×C4×C89—21no—
732C2×C4×C89—21no—
733C2×C4×C89—21no—
734C2×C4×C89—21no—
735C2×C4×C89—21no—
736C2×C4×C89—21no—
737C2×C4×C89—21no—
738C2×C4×C89—21no—
739C2×C4×C89—21no—
740C2×C4×C89—21no—
741C2×C4×C89—21no—
742C2×C4×C89—21no—
743C2×C4×C89—21no—
744C2×C4×C89—21no—
745C2×C4×C89—21no—
746C2×C4×C89—21no—
747C2×C4×C89—21no—
748C2×C4×C89—21no—
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—44no—
761C2×C4×C89—44no—
762C2×C4×C89C22×D412yes—
763C2×C4×C89C22×D412yes—
764C22⋊D89—28no—
765C22⋊D89—28no—
766C22⋊D89—28no—
767C22⋊D89—28no—
768C22⋊D89—44no—
769C22⋊D89—44no—
770C22⋊D89—44no—
771C22⋊D89—82no—
772C22⋊D89—82no—
773C22⋊D89—82no—
774C22⋊D89—82no—
775C22⋊D89—82no—
776C2×Dic89—28no—
777C2×Dic89—28no—
778C2×Dic89—21no—
779C2×Dic89—21no—
780C2×Dic89—21no—
781C2×Dic89—21no—
782C2×Dic89—21no—
783C2×Dic89—21no—
784C2×Dic89—21no—
785C2×Dic89—21no—
786C2×Dic89—21no—
787C2×Dic89—21no—
788C2×Dic89—21no—
789C2×Dic89—21no—
790C2×Dic89—21no—
791C2×Dic89—21no—
792C2×Dic89—21no—
793C2×Dic89—21no—
794C2×Dic89—21no—
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—44no—
810C2×Dic89—44no—
811C2×Dic89—44no—
812C2×Dic89—44no—
813C2×Dic89—44no—
814C2×Dic89C22×D412yes—
815C2×Dic89C22×D412yes—
816C2×Dic89C22×D412yes—
817C2×Dic89C2×#4112yes—
818C2×Dic89H(5,𝔽2)12yes—
819D356—44no—
820D356—44no—
821D356—44no—
822D356—82no—
823C4×D89—44no—
824C4×D89—44no—
825C4×D89—44no—
826C4×D89—44no—
827C4×D89—44no—
828C4×D89—82no—
829C4×D89—82no—
830C4×D89—82no—
831C22×C89—22no—
832C22×C89—22no—
833C22×C89—22no—
834C22×C89—22no—
835C22×C89—22no—
836C22×C89—22no—
837C22×C89—22no—
838C22×C89—22no—
839C22×C89—22no—
840C22×C89—22no—
841C22×C89—22no—
842C22×C89—22no—
843C22×C89—416no—
844C22×C89—41no—
845C22×C89—41no—
846C22×C89—41no—
847C22×C89—41no—
848C22×C89—41no—
849C22×C89—41no—
850C22×C89—41no—
851C22×C89—41no—
852C22×C89—41no—
853C22×C89—41no—
854C22×C89—41no—
855C22×C89—41no—
856C22×C89—41no—
857C22×C89—41no—
858C22×C89—41no—
859C22×C89#53814yescomplemented
860C22×C89C23×D411yescharacteristic
861C22×C89C22×#4111yescharacteristic
862C22×C89C22×#4111yescharacteristic
863C22×C89C2×H(5,𝔽2)11yescharacteristic
864C22×C89C2×H(5,𝔽2)11yescharacteristic
865C22×C89C2×H(5,𝔽2)11yescharacteristic
866C22×C89#58511yescharacteristic
867C2×D89—22no—
868C2×D89—22no—
869C2×D89—22no—
870C2×D89—22no—
871C2×D89—22no—
872C2×D89—22no—
873C2×D89—22no—
874C2×D89—22no—
875C2×D89—22no—
876C2×D89—416no—
877C2×D89—41no—
878C2×D89—41no—
879C2×D89—41no—
880C2×D89—41no—
881C2×D89—41no—
882C2×D89—41no—
883C2×D89—41no—
884C2×D89—41no—
885C2×D89—41no—
886C2×D89—41no—
887C2×D89—41no—
888C2×D89—41no—
889C2×D89—41no—
890C2×D89—41no—
891C2×D89—41no—
892C2×D89—41no—
893C2×D89—41no—
894C2×D89—41no—
895C2×D89—88no—
896C2×D89#52514yes—
897C4×C89—22no—
898C4×C89—22no—
899C4×C89—41no—
900C4×C89—41no—
901C4×C89—41no—
902C4×C89—41no—
903C4×C89—41no—
904C4×C89—41no—
905C4×C89—41no—
906C4×C89—41no—
907C4×C89—41no—
908Dic89—22no—
909Dic89—22no—
910Dic89—22no—
911Dic89—22no—
912Dic89—22no—
913Dic89—41no—
914Dic89—41no—
915Dic89—41no—
916Dic89—41no—
917Dic89—41no—
918Dic89—41no—
919Dic89—41no—
920#34990—891nomaximal, Sylow
921C2×C89—24no—
922C2×C89—42no—
923C2×C89—42no—
924C2×C89—81no—
925C2×C89C2×#52511yescharacteristic
926C2×C89C2×#53811yescharacteristic
927C2×C89#345911yescharacteristic
928C2×C89#348411yescharacteristic
929C2×C89#348811yescharacteristic
930C2×C89#351311yescharacteristic
931C2×C89#351911yescharacteristic
932D89—24no—
933D89—42no—
934D89—81no—
935D89—81no—
936C2×#538—891no—
937C22×C4×D4—891no—
938#2852—891no—
939#2850—891no—
940#2849—891no—
941#2847—891no—
942#2636—891no—
943#2635—891no—
944#2631—891no—
945#2630—891no—
946#2481—891no—
947#2472D8911yescharacteristic, complemented
948#2467—891no—
949#2459—891no—
950#2456—891no—
951#2456—891no—
952#2450—891no—
953#2444—891no—
954#2443—891no—
955#2437—891no—
956#2424—891no—
957#2424—891no—
958#2418—891no—
959#2410—891no—
960#2410—891no—
961#2403—891no—
962#2325—891no—
963#2321—891no—
964#2318—891no—
965C4×#120—891no—
966C2×#386—891no—
967C89#3499011yescharacteristic, complemented, Sylow
968C23×D4—891no—
969C23×D4—891no—
970C24×C4—891no—
971C24×C4—891no—
972#538—1788no—
973C2×#126—891no—
974C2×#126—891no—
975C2×#124—891no—
976C2×#124C2×D8911yescharacteristic, complemented
977C2×#123—891no—
978C2×#123—891no—
979C2×#123—891no—
980C2×C22⋊Q8—891no—
981C2×C22⋊Q8C2×D8911yescharacteristic, complemented
982C2×#121—891no—
983C2×#121—891no—
984C2×#121—891no—
985C2×#121—891no—
986C2×#121—891no—
987C2×#121—891no—
988C2×#121—891no—
989C2×#120—891no—
990C2×#120—891no—
991C2×#120—891no—
992C2×#120—891no—
993C2×#120—891no—
994C2×#120—891no—
995C2×#120C2×D8911yescharacteristic
996C2×C4×D4—891no—
997C2×C4×D4—891no—
998C2×C4×D4—891no—
999C2×C4×D4—891no—
1000C2×C4×D4—891no—
1001C2×C4×D4—891no—
1002C2×C4×D4—891no—
1003C2×C4×D4—891no—
1004C2×C4×D4—891no—
1005C2×C4×D4—891no—
1006C2×C4×D4—891no—
1007C2×C4×D4—1788no—
1008C22×C4⋊C4—891no—
1009C22×C22⋊C4—891no—
1010C22×C22⋊C4—891no—
1011C22×C22⋊C4—891no—
1012C22×C22⋊C4—891no—
1013C22×C22⋊C4C2×D8911yescharacteristic, complemented
1014C22×C42—891no—
1015#400—891no—
1016#400—891no—
1017#399—891no—
1018#399—891no—
1019#398—891no—
1020#397—891no—
1021#397—891no—
1022#397C2×D8911yescharacteristic, complemented
1023#396—891no—
1024#396—891no—
1025#396—891no—
1026#396—891no—
1027#394—891no—
1028#394—891no—
1029#394—891no—
1030#394—891no—
1031#394—891no—
1032#394—891no—
1033#394—891no—
1034#394C2×D8911yescharacteristic, complemented
1035#394C2×D8911yescharacteristic, complemented
1036#393—891no—
1037#393C2×D8911yescharacteristic, complemented
1038#392—891no—
1039#392—891no—
1040#392—891no—
1041#392—891no—
1042#392—891no—
1043#392—891no—
1044#392—891no—
1045#392—891no—
1046#392—891no—
1047#391—891no—
1048#390—891no—
1049#390—891no—
1050#390C2×D8911yescharacteristic, complemented
1051#388—891no—
1052#388—891no—
1053#388—891no—
1054#388—891no—
1055#388—891no—
1056#388—891no—
1057#388—891no—
1058#388—891no—
1059#388—891no—
1060#388—891no—
1061#388C2×D8911yescharacteristic, complemented
1062#388C2×D8911yescharacteristic, complemented
1063#387—891no—
1064#387—891no—
1065#387—891no—
1066#387—891no—
1067#387—891no—
1068#387—891no—
1069#386—891no—
1070#386—891no—
1071#386—891no—
1072#386—891no—
1073#386—891no—
1074#386—891no—
1075#386—891no—
1076#386—891no—
1077#386—891no—
1078#386—891no—
1079#386—891no—
1080#386—891no—
1081#386—891no—
1082#386—891no—
1083#386—891no—
1084#386—891no—
1085#386—891no—
1086#386—891no—
1087#386—891no—
1088#386—891no—
1089#386—891no—
1090#386—891no—
1091#386—891no—
1092#386—891no—
1093#386—891no—
1094#386—891no—
1095#386C2×D8911yescharacteristic
1096#386C2×D8911yescharacteristic
1097#385—891no—
1098#385—891no—
1099#385—891no—
1100#385—891no—
1101#385—891no—
1102#385—891no—
1103#385—891no—
1104#385—891no—
1105#385—891no—
1106#385—891no—
1107#385—891no—
1108#385—891no—
1109#383—891no—
1110#382—891no—
1111#381—891no—
1112#381—891no—
1113#380—891no—
1114#380—891no—
1115#380—891no—
1116#380—891no—
1117#379—891no—
1118#379—891no—
1119#379C2×D8911yescharacteristic, complemented
1120C4×C22⋊C4—891no—
1121C4×C22⋊C4—891no—
1122C4×C22⋊C4C2×D8911yescharacteristic, complemented
1123C2×#95—891no—
1124C2×#95—891no—
1125C25—891no—
1126C25—891no—
1127C25C22×D8911yescharacteristic
1128C22×Q8C22×D8911yescharacteristic
1129C22×D4—891no—
1130C22×D4—891no—
1131C22×D4—891no—
1132C22×D4—891no—
1133C22×D4—891no—
1134C22×D4—891no—
1135C22×D4—891no—
1136C22×D4—891no—
1137C22×D4—891no—
1138C22×D4—891no—
1139C22×D4—891no—
1140C22×D4—891no—
1141C22×D4—891no—
1142C22×D4—891no—
1143C22×D4—891no—
1144C22×D4—891no—
1145C22×D4—3562no—
1146C22×D4—3562no—
1147C22×D4—1784no—
1148C22×D4—1784no—
1149C22×D4—1784no—
1150C22×D4—1784no—
1151C22×D4C22×D8911yescharacteristic
1152C22×D4C22×D8911yescharacteristic
1153C22×D4C22×D8911yescharacteristic
1154C23×C4—891no—
1155C23×C4—891no—
1156C23×C4—891no—
1157C23×C4—891no—
1158C23×C4—891no—
1159C23×C4—891no—
1160C23×C4—891no—
1161C23×C4—891no—
1162C23×C4—891no—
1163C23×C4—891no—
1164C23×C4—891no—
1165C23×C4—891no—
1166C23×C4—891no—
1167C23×C4—891no—
1168C23×C4—891no—
1169C23×C4—3562no—
1170C23×C4—3562no—
1171C23×C4—3562no—
1172C23×C4—3562no—
1173C23×C4—1784no—
1174C23×C4—1784no—
1175C23×C4C22×D8911yescharacteristic
1176C23×C4C22×D8911yescharacteristic
1177#126—1784no—
1178#126—1784no—
1179#124—24no—
1180#124—1784no—
1181#123—3562no—
1182#123—1784no—
1183#123—1784no—
1184C22⋊Q8—42no—
1185C22⋊Q8—1784no—
1186#121—3562no—
1187#121—3562no—
1188#121—3562no—
1189#121—1784no—
1190#121—1784no—
1191#121—1784no—
1192#121—1784no—
1193#120—42no—
1194#120—3562no—
1195#120—3562no—
1196#120—1784no—
1197#120—1784no—
1198#120—1784no—
1199#120—1784no—
1200C4×D4—898no—
1201C4×D4—3562no—
1202C4×D4—3562no—
1203C4×D4—1784no—
1204C4×D4—1784no—
1205C4×D4—1784no—
1206C4×D4—1784no—
1207C4×D4—1784no—
1208C4×D4—1784no—
1209C4×D4—1784no—
1210C4×D4—1784no—
1211C2×C4⋊C4—891no—
1212C2×C4⋊C4—891no—
1213C2×C4⋊C4—891no—
1214C2×C4⋊C4—891no—
1215C2×C4⋊C4—891no—
1216C2×C4⋊C4—891no—
1217C2×C4⋊C4—891no—
1218C2×C4⋊C4—891no—
1219C2×C4⋊C4—891no—
1220C2×C4⋊C4—891no—
1221C2×C4⋊C4—891no—
1222C2×C4⋊C4—891no—
1223C2×C4⋊C4—891no—
1224C2×C4⋊C4—891no—
1225C2×C4⋊C4—891no—
1226C2×C4⋊C4—891no—
1227C2×C4⋊C4—891no—
1228C2×C4⋊C4—1784no—
1229C2×C4⋊C4C22×D8911yescharacteristic
1230C2×C4⋊C4C22×D8911yescharacteristic
1231C2×C4⋊C4C22×D8911yescharacteristic
1232C2×C22⋊C4—24no—
1233C2×C22⋊C4—891no—
1234C2×C22⋊C4—891no—
1235C2×C22⋊C4—891no—
1236C2×C22⋊C4—891no—
1237C2×C22⋊C4—891no—
1238C2×C22⋊C4—891no—
1239C2×C22⋊C4—891no—
1240C2×C22⋊C4—891no—
1241C2×C22⋊C4—891no—
1242C2×C22⋊C4—891no—
1243C2×C22⋊C4—891no—
1244C2×C22⋊C4—891no—
1245C2×C22⋊C4—891no—
1246C2×C22⋊C4—891no—
1247C2×C22⋊C4—891no—
1248C2×C22⋊C4—891no—
1249C2×C22⋊C4—891no—
1250C2×C22⋊C4—891no—
1251C2×C22⋊C4—891no—
1252C2×C22⋊C4—891no—
1253C2×C22⋊C4—891no—
1254C2×C22⋊C4—891no—
1255C2×C22⋊C4—891no—
1256C2×C22⋊C4—891no—
1257C2×C22⋊C4—891no—
1258C2×C22⋊C4—891no—
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—3562no—
1273C2×C22⋊C4—3562no—
1274C2×C22⋊C4—1784no—
1275C2×C22⋊C4—1784no—
1276C2×C22⋊C4C22×D8911yescharacteristic
1277C2×C22⋊C4C22×D8911yescharacteristic
1278C2×C22⋊C4C22×D8911yescharacteristic
1279C2×C22⋊C4C22×D8911yescharacteristic
1280C2×C22⋊C4C22×D8911yescharacteristic
1281C2×C22⋊C4C22×D8911yescharacteristic
1282C2×C22⋊C4C22×D8911yescharacteristic
1283C2×C22⋊C4C22×D8911yescharacteristic
1284C2×C22⋊C4C22×D8911yescharacteristic
1285C2×C22⋊C4C22×D8911yescharacteristic
1286C2×C22⋊C4C22×D8911yescharacteristic
1287C2×C22⋊C4C22×D8911yescharacteristic
1288C2×C22⋊C4C22×D8911yescharacteristic
1289C2×C22⋊C4C22×D8911yescharacteristic
1290C2×C22⋊C4C22×D8911yescharacteristic
1291C2×C22⋊C4C22×D8911yescharacteristic
1292C2×C22⋊C4C22×D8911yescharacteristic
1293C2×C42—891no—
1294C2×C42—891no—
1295C2×C42—891no—
1296C2×C42—891no—
1297C2×C42—891no—
1298C2×C42—1784no—
1299C2×C42C22×D8911yescharacteristic
1300C2×C42C22×D8911yescharacteristic
1301#95—891no—
1302#95—891no—
1303#95—891no—
1304#95—891no—
1305#95—891no—
1306#95—891no—
1307#95—891no—
1308#95—891no—
1309#95—891no—
1310#95—891no—
1311#95—891no—
1312#95—891no—
1313#95—891no—
1314#95—891no—
1315#95—891no—
1316#95—891no—
1317#95—891no—
1318#95—891no—
1319#95—891no—
1320#95—891no—
1321#95—891no—
1322#95—891no—
1323#95—891no—
1324#95—891no—
1325#95—891no—
1326#95—891no—
1327#95C22×D8911yescharacteristic
1328#95C22×D8911yescharacteristic
1329#95C22×D8911yescharacteristic
1330#95C22×D8911yescharacteristic
1331#95C22×D8911yescharacteristic
1332#95C22×D8911yescharacteristic
1333C24—22no—
1334C24—22no—
1335C24—22no—
1336C24—22no—
1337C24—22no—
1338C24—41no—
1339C24—41no—
1340C24—891no—
1341C24—894no—
1342C24—891no—
1343C24—891no—
1344C24—891no—
1345C24—3561no—
1346C24—3561no—
1347C24—3561no—
1348C24—3561no—
1349C24—3561no—
1350C24—3561no—
1351C24—1782no—
1352C24—1782no—
1353C24—1782no—
1354C24—1782no—
1355C24—1782no—
1356C24—1782no—
1357C24—1782no—
1358C24C23×D8911yescharacteristic
1359C24C23×D8911yescharacteristic
1360C24C23×D8911yescharacteristic
1361C24C23×D8911yescharacteristic
1362C2×Q8—22no—
1363C2×Q8—41no—
1364C2×Q8—41no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—894no—
1375C2×D4—894no—
1376C2×D4—3561no—
1377C2×D4—3561no—
1378C2×D4—3561no—
1379C2×D4—3561no—
1380C2×D4—3561no—
1381C2×D4—3561no—
1382C2×D4—35616no—
1383C2×D4—3561no—
1384C2×D4—3561no—
1385C2×D4—3561no—
1386C2×D4—3561no—
1387C2×D4—3561no—
1388C2×D4—3561no—
1389C2×D4—3561no—
1390C2×D4—3561no—
1391C2×D4—3561no—
1392C2×D4—3561no—
1393C2×D4—3561no—
1394C2×D4—3561no—
1395C2×D4—1782no—
1396C2×D4—1782no—
1397C2×D4—1782no—
1398C2×D4—1782no—
1399C2×D4—1782no—
1400C2×D4—1782no—
1401C2×D4—1782no—
1402C2×D4—1782no—
1403C2×D4—1782no—
1404C2×D4—1782no—
1405C2×D4—1782no—
1406C2×D4—1782no—
1407C2×D4—1782no—
1408C2×D4—1782no—
1409C2×D4—1782no—
1410C2×D4—1782no—
1411C2×D4—1782no—
1412C2×D4—1782no—
1413C2×D4—1782no—
1414C2×D4—1782no—
1415C2×D4—1782no—
1416C2×D4—17832no—
1417C2×D4—1782no—
1418C2×D4—1782no—
1419C2×D4—1782no—
1420C2×D4—1782no—
1421C2×D4—1782no—
1422C2×D4—1782no—
1423C2×D4—1782no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—894no—
1431C22×C4—891no—
1432C22×C4—891no—
1433C22×C4—891no—
1434C22×C4—891no—
1435C22×C4—891no—
1436C22×C4—894no—
1437C22×C4—891no—
1438C22×C4—891no—
1439C22×C4—891no—
1440C22×C4—891no—
1441C22×C4—891no—
1442C22×C4—891no—
1443C22×C4—891no—
1444C22×C4—3561no—
1445C22×C4—3561no—
1446C22×C4—3561no—
1447C22×C4—3561no—
1448C22×C4—3561no—
1449C22×C4—3561no—
1450C22×C4—3561no—
1451C22×C4—3561no—
1452C22×C4—3561no—
1453C22×C4—3561no—
1454C22×C4—3561no—
1455C22×C4—3561no—
1456C22×C4—3561no—
1457C22×C4—3561no—
1458C22×C4—35616no—
1459C22×C4—35616no—
1460C22×C4—3561no—
1461C22×C4—3561no—
1462C22×C4—3561no—
1463C22×C4—3561no—
1464C22×C4—3561no—
1465C22×C4—3561no—
1466C22×C4—3561no—
1467C22×C4—1782no—
1468C22×C4—1782no—
1469C22×C4—1782no—
1470C22×C4—1782no—
1471C22×C4—1782no—
1472C22×C4—1782no—
1473C22×C4—1782no—
1474C22×C4—1782no—
1475C22×C4—1782no—
1476C22×C4—1782no—
1477C22×C4—1782no—
1478C22×C4—1782no—
1479C22×C4—1782no—
1480C22×C4—1782no—
1481C22×C4—1782no—
1482C22×C4—1782no—
1483C22×C4—1782no—
1484C22×C4—1782no—
1485C22×C4—1782no—
1486C22×C4—1782no—
1487C22×C4—1782no—
1488C22×C4—1782no—
1489C22×C4C23×D8911yescharacteristic
1490C22×C4C23×D8911yescharacteristic
1491C22×C4C23×D8911yescharacteristic
1492C22×C4C23×D8911yescharacteristic
1493C22×C4C23×D8911yescharacteristic
1494C22×C4C23×D8911yescharacteristic
1495C22×C4C23×D8911yescharacteristic
1496C22×C4C23×D8911yescharacteristic
1497C22×C4C23×D8911yescharacteristic
1498C22×C4C23×D8911yescharacteristic
1499C22×C4C23×D8911yescharacteristic
1500C4⋊C4—41no—
1501C4⋊C4—41no—
1502C4⋊C4—41no—
1503C4⋊C4—894no—
1504C4⋊C4—3561no—
1505C4⋊C4—3561no—
1506C4⋊C4—3561no—
1507C4⋊C4—3561no—
1508C4⋊C4—3561no—
1509C4⋊C4—3561no—
1510C4⋊C4—1782no—
1511C4⋊C4—1782no—
1512C4⋊C4—1782no—
1513C4⋊C4—1782no—
1514C4⋊C4—1782no—
1515C4⋊C4—1782no—
1516C4⋊C4—1782no—
1517C4⋊C4—1782no—
1518C4⋊C4—1782no—
1519C4⋊C4—1782no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—22no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—22no—
1530C22⋊C4—41no—
1531C22⋊C4—41no—
1532C22⋊C4—41no—
1533C22⋊C4—41no—
1534C22⋊C4—41no—
1535C22⋊C4—41no—
1536C22⋊C4—894no—
1537C22⋊C4—3561no—
1538C22⋊C4—3561no—
1539C22⋊C4—3561no—
1540C22⋊C4—3561no—
1541C22⋊C4—3561no—
1542C22⋊C4—3561no—
1543C22⋊C4—3561no—
1544C22⋊C4—3561no—
1545C22⋊C4—3561no—
1546C22⋊C4—3561no—
1547C22⋊C4—3561no—
1548C22⋊C4—3561no—
1549C22⋊C4—3561no—
1550C22⋊C4—3561no—
1551C22⋊C4—3561no—
1552C22⋊C4—1782no—
1553C22⋊C4—1782no—
1554C22⋊C4—1782no—
1555C22⋊C4—1782no—
1556C22⋊C4—1782no—
1557C22⋊C4—1782no—
1558C22⋊C4—1782no—
1559C22⋊C4—1782no—
1560C22⋊C4—1782no—
1561C22⋊C4—1782no—
1562C22⋊C4—1782no—
1563C22⋊C4—1782no—
1564C22⋊C4—1782no—
1565C22⋊C4—1782no—
1566C22⋊C4—1782no—
1567C22⋊C4—1782no—
1568C22⋊C4—1782no—
1569C22⋊C4—1782no—
1570C22⋊C4—1782no—
1571C22⋊C4—1782no—
1572C22⋊C4—1782no—
1573C22⋊C4—1782no—
1574C22⋊C4—1782no—
1575C22⋊C4D4×D8914yescomplemented
1576C42—22no—
1577C42—41no—
1578C42—894no—
1579C42—3561no—
1580C42—1782no—
1581C42—1782no—
1582C42—1782no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—28no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—44no—
1608C23—44no—
1609C23—44no—
1610C23—44no—
1611C23—44no—
1612C23—44no—
1613C23—892no—
1614C23—892no—
1615C23—892no—
1616C23—892no—
1617C23—3564no—
1618C23—3564no—
1619C23—3564no—
1620C23—3564no—
1621C23—3564no—
1622C23—3564no—
1623C23—3564no—
1624C23—3564no—
1625C23—1788no—
1626C23—1781no—
1627C23—1781no—
1628C23—1781no—
1629C23—1781no—
1630C23—1781no—
1631C23—1781no—
1632C23—1781no—
1633C23—1781no—
1634C23—1781no—
1635C23—1781no—
1636C23—1781no—
1637C23—1781no—
1638C23—1781no—
1639C23—1781no—
1640C23—1781no—
1641C23—1781no—
1642C23—1781no—
1643C23—1781no—
1644C23—1781no—
1645C23—1781no—
1646C23—1788no—
1647C23—1781no—
1648C23—1781no—
1649C23—1781no—
1650C23—1781no—
1651C23—7122no—
1652C23—7122no—
1653C23—7122no—
1654C23—7122no—
1655C23C2×D4×D8912yes—
1656C23#41×D8912yes—
1657C23#41×D8912yes—
1658C23#1566805712yes—
1659C23#1566805812yes—
1660C23C24×D8911yescharacteristic
1661Q8—82no—
1662D4—44no—
1663D4—82no—
1664D4—82no—
1665D4—3564no—
1666D4—3564no—
1667D4—3564no—
1668D4—3564no—
1669D4—3564no—
1670D4—3564no—
1671D4—1788no—
1672D4—1788no—
1673D4—1788no—
1674D4—1788no—
1675D4—7122no—
1676D4—7122no—
1677D4—7122no—
1678D4—7122no—
1679D4—7122no—
1680D4—7122no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—892no—
1715C2×C4—892no—
1716C2×C4—892no—
1717C2×C4—892no—
1718C2×C4—892no—
1719C2×C4—3564no—
1720C2×C4—3564no—
1721C2×C4—3564no—
1722C2×C4—3564no—
1723C2×C4—3564no—
1724C2×C4—3564no—
1725C2×C4—3564no—
1726C2×C4—3564no—
1727C2×C4—3564no—
1728C2×C4—3564no—
1729C2×C4—1781no—
1730C2×C4—1781no—
1731C2×C4—1781no—
1732C2×C4—1781no—
1733C2×C4—1781no—
1734C2×C4—1781no—
1735C2×C4—1781no—
1736C2×C4—1781no—
1737C2×C4—1781no—
1738C2×C4—1781no—
1739C2×C4—1781no—
1740C2×C4—1781no—
1741C2×C4—1781no—
1742C2×C4—1781no—
1743C2×C4—1781no—
1744C2×C4—1781no—
1745C2×C4—1781no—
1746C2×C4—1781no—
1747C2×C4—1781no—
1748C2×C4—1781no—
1749C2×C4—1781no—
1750C2×C4—1788no—
1751C2×C4—1788no—
1752C2×C4—1781no—
1753C2×C4—1781no—
1754C2×C4—1781no—
1755C2×C4—1781no—
1756C2×C4—1781no—
1757C2×C4—1781no—
1758C2×C4—1781no—
1759C2×C4—1781no—
1760C2×C4—1781no—
1761C2×C4—1781no—
1762C2×C4—7122no—
1763C2×C4—7122no—
1764C2×C4—7122no—
1765C2×C4C2×D4×D8912yes—
1766C2×C4C2×D4×D8912yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—416no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—41no—
1792C22—41no—
1793C22—41no—
1794C22—41no—
1795C22—894no—
1796C22—35616no—
1797C22—3561no—
1798C22—3561no—
1799C22—3561no—
1800C22—3561no—
1801C22—3561no—
1802C22—3561no—
1803C22—3561no—
1804C22—3561no—
1805C22—3561no—
1806C22—3561no—
1807C22—3561no—
1808C22—3561no—
1809C22—3561no—
1810C22—3561no—
1811C22—3561no—
1812C22—3561no—
1813C22—3561no—
1814C22—3561no—
1815C22—1782no—
1816C22—1782no—
1817C22—1782no—
1818C22—1782no—
1819C22—1782no—
1820C22—1782no—
1821C22—1782no—
1822C22—1782no—
1823C22—1782no—
1824C22—7128no—
1825C22#1915218214yescomplemented
1826C22C22×D4×D8911yescharacteristic
1827C22C2×#41×D8911yescharacteristic
1828C22C2×#41×D8911yescharacteristic
1829C22H(5,𝔽2)×D8911yescharacteristic
1830C22C2×#1566805711yescharacteristic
1831C22C2×#1566805811yescharacteristic
1832C22#1915243311yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—3561no—
1845C4—3561no—
1846C4—3561no—
1847C4—3561no—
1848C4—3561no—
1849C4—3561no—
1850C4—3561no—
1851C4—1782no—
1852C4—1782no—
1853C4—1782no—
1854C4—1782no—
1855C4—1782no—
1856C2—24no—
1857C2—42no—
1858C2—42no—
1859C2—81no—
1860C2—3562no—
1861C2—1784no—
1862C2—7121no—
1863C2—7121no—
1864C2#525×D8911yescharacteristic
1865C2C2×#1915218211yescharacteristic
1866C2#2603366311yescharacteristic
1867C2#2603388211yescharacteristic
1868C2#2603391211yescharacteristic
1869C2#2603417911yescharacteristic
1870C2#2603427311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2472C2
hypercenter#2472D89
hypocenterC89#34990
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2472

Complements

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

NH ≅ G/Ntype
1. C2×#19152182C2semidirect
2. C22×#15667972C2semidirect
3. #26028565C2semidirect
4. #26028555C2semidirect
5. #26028546C2semidirect
6. #26028532C2semidirect
7. #26026154C2semidirect
8. #26026138C2semidirect
9. #26026110C2semidirect
10. #26026094C2semidirect
11. #26024513C2semidirect
12. #26024307C2semidirect
13. #26024185C2semidirect
14. #26024150C2semidirect
15. #26024141C2semidirect
16. #26024069C2semidirect
17. #26023997C2semidirect
18. #26023989C2semidirect
19. #26023915C2semidirect
20. #26023789C2semidirect
21. #26023788C2semidirect
22. #26023709C2semidirect
23. #26023628C2semidirect
24. #26023625C2semidirect
25. #26023563C2semidirect
26. #26022956C2semidirect
27. #26022911C2semidirect
28. #26022882C2semidirect
29. C4×#15667982C2semidirect
30. #386×D89C2semidirect
31. C89×#2472C2semidirect
34. C24×Dic89C22semidirect
37. C2×#15668006C22semidirect
38. C2×#15668005C22semidirect
39. C2×#15668001C22semidirect
40. C2×#15667996C22semidirect
41. C2×#15667996C22semidirect
42. C2×#15667994C22semidirect
43. C2×#15667988C22semidirect
47. C2×#15667985C22semidirect
49. C2×#15667984C22semidirect
50. C2×#15667984C22semidirect
52. C2×#15667982C22semidirect
54. C2×#15667981C22semidirect
57. C2×C4×D356C22semidirect
58. C2×C4×D356C22semidirect
59. C2×C4×C22⋊D89C22semidirect
65. C2×#15667972C22semidirect
66. C2×#15667972C22semidirect
67. C2×#15667972C22semidirect
68. C2×#15667972C22semidirect
69. C22×#13083553C22semidirect
72. C2×C22⋊C4×D89C22semidirect
73. C2×C22⋊C4×D89C22semidirect
74. C22×C4×Dic89C22semidirect
75. #19151539C22semidirect
76. #19151539C22semidirect
77. #19151534C22semidirect
78. #19151533C22semidirect
79. #19151532C22semidirect
80. #19151527C22semidirect
81. #19151527C22semidirect
82. #19151522C22semidirect
83. #19151521C22semidirect
84. #19151520C22semidirect
85. #19151520C22semidirect
86. #19151516C22semidirect
87. #19151514C22semidirect
88. #19151513C22semidirect
89. #19151513C22semidirect
90. #19151513C22semidirect
91. #19151513C22semidirect
92. #19151513C22semidirect
93. #19151509C22semidirect
94. #19151508C22semidirect
97. #19151507C22semidirect
98. #19151507C22semidirect
99. #19151507C22semidirect
100. #19151507C22semidirect
103. #19151505C22semidirect
104. #19151499C22semidirect
105. #19151498C22semidirect
106. #19151492C22semidirect
107. #19151492C22semidirect
108. #19151491C22semidirect
109. #19151491C22semidirect
110. #19151489C22semidirect
111. #19151488C22semidirect
112. #19151488C22semidirect
113. #19151488C22semidirect
114. #19151488C22semidirect
115. #19151486C22semidirect
116. #19151485C22semidirect
117. #19151483C22semidirect
118. #19151482C22semidirect
119. #19151482C22semidirect
120. #19151480C22semidirect
121. #19151480C22semidirect
124. #19151478C22semidirect
125. #19151478C22semidirect
127. #19151476C22semidirect
128. #19151476C22semidirect
129. #19151476C22semidirect
130. #19151476C22semidirect
131. #19151476C22semidirect
135. #19151475C22semidirect
136. #19151475C22semidirect
137. #19151475C22semidirect
138. #19151475C22semidirect
139. #19151475C22semidirect
140. #19151475C22semidirect
145. #19151474C22semidirect
146. #19151474C22semidirect
147. #19151474C22semidirect
148. #19151473C22semidirect
149. #19151473C22semidirect
150. #19151473C22semidirect
151. #19151473C22semidirect
152. #19151472C22semidirect
153. #19151472C22semidirect
154. #19151472C22semidirect
155. #19151472C22semidirect
156. #19151471C22semidirect
157. #19151470C22semidirect
158. #19151469C22semidirect
159. #19151469C22semidirect
160. #19151465C22semidirect
161. #19151463C22semidirect
162. #19151459C22semidirect
163. #19151459C22semidirect
164. #19151456C22semidirect
165. #19151456C22semidirect
166. #19151456C22semidirect
167. #19151455C22semidirect
169. #19151453C22semidirect
170. C4×#13083551C22semidirect
171. C4×#13083551C22semidirect
172. #95×D89C22semidirect
173. #95×D89C22semidirect
174. C2×#124×C89C22semidirect
175. C2×C22⋊Q8×C89C22semidirect
177. C22×C22⋊C4×C89C22semidirect
178. #397×C89C22semidirect
179. #394×C89C22semidirect
180. #394×C89C22semidirect
181. #393×C89C22semidirect
182. #390×C89C22semidirect
183. #388×C89C22semidirect
184. #388×C89C22semidirect
187. #379×C89C22semidirect
188. C4×C22⋊C4×C89C22semidirect
264. #15667972D4semidirect
486. C22×Dic89C2×D4semidirect
540. #13083553C2×D4semidirect
584. C4×Dic89C2×D4semidirect
644. C22⋊C4×C89C2×D4semidirect
859. C22×C89#538semidirect
947. #2472D89semidirect
967. C89#34990semidirect
976. C2×#124C2×D89semidirect
981. C2×C22⋊Q8C2×D89semidirect
1013. C22×C22⋊C4C2×D89semidirect
1022. #397C2×D89semidirect
1034. #394C2×D89semidirect
1035. #394C2×D89semidirect
1037. #393C2×D89semidirect
1050. #390C2×D89semidirect
1061. #388C2×D89semidirect
1062. #388C2×D89semidirect
1119. #379C2×D89semidirect
1122. C4×C22⋊C4C2×D89semidirect
1575. C22⋊C4D4×D89semidirect
1825. C22#19152182semidirect

Maximal subgroups

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

subgroupindex
C2×#191521822
C22×#156679722
#260285652
#260285552
#260285462
#260285322
#260261542
#260261382
#260261102
#260260942
#260245132
#260243072
#260241852
#260241502
#260241412
#260240692
#260239972
#260239892
#260239152
#260237892
#260237882
#260237092
#260236282
#260236252
#260235632
#260229562
#260229112
#260228822
C4×#156679822
#386×D892
C89×#24722
#3499089