Finite Group Databasebeta

← #36761508

Subgroups — #36761508

Order 22784.

2644 conjugacy classes of subgroups.

The subgroup lattice has 1818 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19152185C211yesmaximal, characteristic, complemented
2C2×#19152104C211yesmaximal, characteristic, complemented
3#26028546C211yesmaximal, characteristic, complemented
4#26028532C211yesmaximal, characteristic, complemented
5#26026924C211yesmaximal, characteristic, complemented
6#26026877C211yesmaximal, characteristic, complemented
7#26026852C211yesmaximal, characteristic, complemented
8#26026835C211yesmaximal, characteristic, complemented
9#26026677C211yesmaximal, characteristic, complemented
10#26026616C211yesmaximal, characteristic, complemented
11#26026610C211yesmaximal, characteristic, complemented
12#26026610C211yesmaximal, characteristic, complemented
13#26026586C211yesmaximal, characteristic, complemented
14#26026579C211yesmaximal, characteristic, complemented
15#26026572C211yesmaximal, characteristic, complemented
16#26026503C211yesmaximal, characteristic, complemented
17#26026478C211yesmaximal, characteristic, complemented
18#26026469C211yesmaximal, characteristic, complemented
19#26026463C211yesmaximal, characteristic, complemented
20#26026138C211yesmaximal, characteristic, complemented
21#26026094C211yesmaximal, characteristic, complemented
22#26025936C211yesmaximal, characteristic, complemented
23#26025877C211yesmaximal, characteristic, complemented
24#26025850C211yesmaximal, characteristic, complemented
25#26025833C211yesmaximal, characteristic, complemented
26#26025218C211yesmaximal, characteristic, complemented
27#26025141C211yesmaximal, characteristic, complemented
28#26023590C211yesmaximal, characteristic, complemented
29#26023570C211yesmaximal, characteristic, complemented
30#26022889C211yesmaximal, characteristic, complemented
31C89×#2678C211yesmaximal, characteristic, complemented
32C22×#13083573C2211yescharacteristic
33C24×Dic89C2211yescharacteristic, complemented
34#19152185—28no—
35C2×#15668008C2211yescharacteristic
36C2×#15668007C2211yescharacteristic, complemented
37C2×#15668007C2211yescharacteristic, complemented
38C2×#15667998C2211yescharacteristic
39C2×#15667998C2211yescharacteristic, complemented
40C2×#15667998C2211yescharacteristic, complemented
41#19152104—28no—
42C2×#15667996C2211yescharacteristic
43C2×#15667996C2211yescharacteristic
44C2×#15667996C2211yescharacteristic, complemented
45C2×#15667996C2211yescharacteristic, complemented
46C2×#15667993C2211yescharacteristic
47C2×#15667991C2211yescharacteristic, complemented
48C2×#15667989C2211yescharacteristic, complemented
49C2×#15667989C2211yescharacteristic, complemented
50C2×#15667989C2211yescharacteristic, complemented
51C2×#15667984C2211yescharacteristic
52C2×#15667984C2211yescharacteristic
53C2×#15667984C2211yescharacteristic
54C2×#15667984C2211yescharacteristic
55C2×#15667984C2211yescharacteristic
56C2×#15667984C2211yescharacteristic
57C2×#15667984C2211yescharacteristic, complemented
58C2×#15667982C2211yescharacteristic, complemented
59C2×#15667981C2211yescharacteristic
60C2×#15667981C2211yescharacteristic
61C2×#15667981C2211yescharacteristic, complemented
62C2×#15667980C2211yescharacteristic
63C2×#15667980C2211yescharacteristic
64C2×#15667980C2211yescharacteristic
65C2×#15667980C2211yescharacteristic, complemented
66C2×D4×Dic89C2211yescharacteristic
67C2×D4×Dic89C2211yescharacteristic
68C2×D4×Dic89C2211yescharacteristic, complemented
69C2×#15667972C2211yescharacteristic, complemented
70C2×#15667972C2211yescharacteristic, complemented
71C2×#15667968C2211yescharacteristic, complemented
72C22×#13083551C2211yescharacteristic, complemented
73#19151539C2211yescharacteristic, complemented
74#19151533C2211yescharacteristic, complemented
75#19151532C2211yescharacteristic, complemented
76#19151532C2211yescharacteristic, complemented
77#19151531C2211yescharacteristic, complemented
78#19151527C2211yescharacteristic, complemented
79#19151523C2211yescharacteristic, complemented
80#19151522C2211yescharacteristic, complemented
81#19151520C2211yescharacteristic, complemented
82#19151520C2211yescharacteristic, complemented
83#19151520C2211yescharacteristic, complemented
84#19151520C2211yescharacteristic, complemented
85#19151518C2211yescharacteristic, complemented
86#19151516C2211yescharacteristic, complemented
87#19151515C2211yescharacteristic, complemented
88#19151514C2211yescharacteristic
89#19151514C2211yescharacteristic
90#19151514C2211yescharacteristic, complemented
91#19151514C2211yescharacteristic, complemented
92#19151513C2211yescharacteristic
93#19151513C2211yescharacteristic
94#19151513C2211yescharacteristic
95#19151513C2211yescharacteristic
96#19151513C2211yescharacteristic, complemented
97#19151513C2211yescharacteristic, complemented
98#19151513C2211yescharacteristic, complemented
99#19151513C2211yescharacteristic, complemented
100#19151512C2211yescharacteristic
101#19151512C2211yescharacteristic
102#19151512C2211yescharacteristic, complemented
103#19151511C2211yescharacteristic, complemented
104#19151511C2211yescharacteristic, complemented
105#19151510C2211yescharacteristic, complemented
106#19151507C2211yescharacteristic
107#19151507C2211yescharacteristic
108#19151507C2211yescharacteristic
109#19151507C2211yescharacteristic
110#19151507C2211yescharacteristic
111#19151507C2211yescharacteristic, complemented
112#19151506C2211yescharacteristic
113#19151506C2211yescharacteristic, complemented
114#19151506C2211yescharacteristic, complemented
115#19151502C2211yescharacteristic, complemented
116#19151502C2211yescharacteristic, complemented
117#19151501C2211yescharacteristic
118#19151500C2211yescharacteristic, complemented
119#19151498C2211yescharacteristic
120#19151498C2211yescharacteristic
121#19151498C2211yescharacteristic
122#19151498C2211yescharacteristic, complemented
123#19151498C2211yescharacteristic, complemented
124#19151496C2211yescharacteristic, complemented
125#19151494C2211yescharacteristic, complemented
126#19151494C2211yescharacteristic, complemented
127#19151492C2211yescharacteristic, complemented
128#19151492C2211yescharacteristic, complemented
129#19151492C2211yescharacteristic, complemented
130#19151492C2211yescharacteristic, complemented
131#19151492C2211yescharacteristic, complemented
132#19151489C2211yescharacteristic, complemented
133#19151488C2211yescharacteristic, complemented
134#19151488C2211yescharacteristic, complemented
135#19151488C2211yescharacteristic, complemented
136#19151487C2211yescharacteristic, complemented
137#19151486C2211yescharacteristic, complemented
138#19151486C2211yescharacteristic, complemented
139#19151486C2211yescharacteristic, complemented
140#19151485C2211yescharacteristic, complemented
141#19151485C2211yescharacteristic, complemented
142#19151478C2211yescharacteristic, complemented
143#19151478C2211yescharacteristic, complemented
144#19151478C2211yescharacteristic, complemented
145#19151478C2211yescharacteristic, complemented
146#19151477C2211yescharacteristic, complemented
147#19151476C2211yescharacteristic, complemented
148#19151476C2211yescharacteristic, complemented
149#19151475C2211yescharacteristic
150#19151475C2211yescharacteristic
151#19151475C2211yescharacteristic
152#19151475C2211yescharacteristic
153#19151475C2211yescharacteristic
154#19151475C2211yescharacteristic
155#19151475C2211yescharacteristic
156#19151474C2211yescharacteristic, complemented
157#19151473C2211yescharacteristic, complemented
158#19151473C2211yescharacteristic, complemented
159#19151473C2211yescharacteristic, complemented
160#19151473C2211yescharacteristic, complemented
161#19151473C2211yescharacteristic, complemented
162#19151472C2211yescharacteristic, complemented
163#19151461C2211yescharacteristic, complemented
164#19151459C2211yescharacteristic, complemented
165#19151459C2211yescharacteristic, complemented
166#19151459C2211yescharacteristic, complemented
167#19151456C2211yescharacteristic, complemented
168#19151456C2211yescharacteristic, complemented
169#19151456C2211yescharacteristic, complemented
170#19151456C2211yescharacteristic, complemented
171#19151453C2211yescharacteristic, complemented
172C4⋊C4×Dic89C2211yescharacteristic, complemented
173#19151444C2211yescharacteristic, complemented
174C2×#123×C89C2211yescharacteristic
175C2×#121×C89C2211yescharacteristic
176C2×#120×C89C2211yescharacteristic
177C2×#120×C89C2211yescharacteristic, complemented
178#397×C89C2211yescharacteristic, complemented
179#396×C89C2211yescharacteristic, complemented
180#394×C89C2211yescharacteristic, complemented
181#394×C89C2211yescharacteristic, complemented
182#392×C89C2211yescharacteristic
183#392×C89C2211yescharacteristic
184#390×C89C2211yescharacteristic
185#390×C89C2211yescharacteristic, complemented
186#388×C89C2211yescharacteristic, complemented
187#386×C89C2211yescharacteristic
188#379×C89C2211yescharacteristic, complemented
189C24×D89C2311yescharacteristic
190C2×#13083573—24no—
191C2×#13083573—42no—
192C2×#13083573—42no—
193C22×Dic178C2311yescharacteristic
194C22×Dic178C2311yescharacteristic
195C22×D356C2311yescharacteristic
196C22×D356C2311yescharacteristic
197C22×C22⋊D89C2311yescharacteristic
198C22×C22⋊D89C2311yescharacteristic
199C22×C22⋊D89C2311yescharacteristic
200C22×C22⋊D89C2311yescharacteristic
201C22×C22⋊D89C2311yescharacteristic
202C22×C22⋊D89C2311yescharacteristic
203C22×C22⋊D89C2311yescharacteristic
204C22×C22⋊D89C2311yescharacteristic
205C22×C22⋊D89C2311yescharacteristic
206C22×C22⋊D89C2311yescharacteristic
207C22×C22⋊D89C2311yescharacteristic
208C22×C22⋊D89C2311yescharacteristic
209C22×C22⋊D89C2311yescharacteristic
210C23×Dic89—24no—
211C23×Dic89—42no—
212C23×Dic89—42no—
213C23×Dic89C2311yescharacteristic
214C23×Dic89C2311yescharacteristic
215C23×Dic89C2311yescharacteristic
216C23×Dic89C2311yescharacteristic
217C23×Dic89C2311yescharacteristic
218C23×Dic89C2311yescharacteristic
219C23×Dic89C2311yescharacteristic
220C23×Dic89C2311yescharacteristic
221C22×C4×D89C2311yescharacteristic
222#15668008—42no—
223#15668007—24no—
224#15668007—24no—
225#15667998—24no—
226#15667998—24no—
227#15667998—42no—
228#15667996—24no—
229#15667996—24no—
230#15667996—24no—
231#15667996—42no—
232#15667993—24no—
233#15667991—24no—
234#15667989—24no—
235#15667989—24no—
236#15667989—42no—
237#15667984—24no—
238#15667984—24no—
239#15667984—24no—
240#15667984—24no—
241#15667984—42no—
242#15667984—42no—
243#15667984—42no—
244#15667982—42no—
245#15667981—24no—
246#15667981—42no—
247#15667981—42no—
248#15667980—24no—
249#15667980—24no—
250#15667980—42no—
251#15667980—42no—
252D4×Dic89—24no—
253D4×Dic89—24no—
254D4×Dic89D418yescomplemented
255#15667972—24no—
256#15667972—24no—
257#15667968—24no—
258C2×C4⋊Dic89C2311yescharacteristic
259C2×C4⋊Dic89C2311yescharacteristic
260C2×C4⋊Dic89C2311yescharacteristic
261C2×C4⋊Dic89C2311yescharacteristic
262C2×C4⋊Dic89C2311yescharacteristic
263C2×C4⋊Dic89C2311yescharacteristic
264C2×C4⋊Dic89C2311yescharacteristic
265C2×#13083553C2311yescharacteristic
266C2×#13083553C2311yescharacteristic
267C2×#13083553C2311yescharacteristic
268C2×#13083553C2311yescharacteristic
269C2×#13083553C2311yescharacteristic
270C2×#13083553C2311yescharacteristic
271C2×#13083553C2311yescharacteristic
272C2×#13083553C2311yescharacteristic
273C2×#13083553C2311yescharacteristic
274C2×#13083553C2311yescharacteristic
275C2×#13083553C2311yescharacteristic
276C2×#13083553C2311yescharacteristic
277C2×#13083553C2311yescharacteristic
278C2×C22⋊Dic89C2311yescharacteristic
279C2×C22⋊Dic89C2311yescharacteristic
280C2×C22⋊Dic89C2311yescharacteristic
281C2×C22⋊Dic89C2311yescharacteristic
282C2×C22⋊Dic89C2311yescharacteristic
283C2×C22⋊Dic89C2311yescharacteristic
284C2×C22⋊Dic89C2311yescharacteristic
285C2×C22⋊Dic89C2311yescharacteristic
286C2×C22⋊Dic89C2311yescharacteristic
287C2×C22⋊Dic89C2311yescharacteristic
288C2×C22⋊Dic89C2311yescharacteristic
289C2×C22⋊Dic89C2311yescharacteristic
290C2×C22⋊Dic89C2311yescharacteristic
291C2×C22⋊Dic89C2311yescharacteristic
292C2×C22⋊Dic89C2311yescharacteristic
293C2×C22⋊Dic89C2311yescharacteristic
294C2×C22⋊Dic89C2311yescharacteristic
295C2×C22⋊Dic89C2311yescharacteristic
296C2×#13083551—24no—
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×C4×Dic89C2311yescharacteristic
323C2×C4×Dic89C2311yescharacteristic
324C2×C4×Dic89C2311yescharacteristic
325C2×C4×Dic89C2311yescharacteristic
326C2×C4×Dic89C2311yescharacteristic
327C2×C4×Dic89C2311yescharacteristic
328#15667919C2311yescharacteristic
329#15667919C2311yescharacteristic
330#15667919C2311yescharacteristic
331#15667919C2311yescharacteristic
332#15667919C2311yescharacteristic
333#15667919C2311yescharacteristic
334#15667919C2311yescharacteristic
335#15667919C2311yescharacteristic
336#15667919C2311yescharacteristic
337#15667919C2311yescharacteristic
338#15667919C2311yescharacteristic
339#15667919C2311yescharacteristic
340#15667919C2311yescharacteristic
341#15667919C2311yescharacteristic
342#15667919C2311yescharacteristic
343#15667919C2311yescharacteristic
344#15667919C2311yescharacteristic
345#15667919C2311yescharacteristic
346#15667919C2311yescharacteristic
347#15667919C2311yescharacteristic
348#15667919C2311yescharacteristic
349#15667919C2311yescharacteristic
350#15667919C2311yescharacteristic
351#15667919C2311yescharacteristic
352C25×C89C2311yescharacteristic
353C22×D4×C89C2311yescharacteristic
354C22×D4×C89C2311yescharacteristic
355C22×D4×C89C2311yescharacteristic
356C22×D4×C89C2311yescharacteristic
357C22×D4×C89C2311yescharacteristic
358C22×D4×C89C2311yescharacteristic
359C22×D4×C89C2311yescharacteristic
360C23×C4×C89C2311yescharacteristic
361#123×C89—42no—
362#121×C89—24no—
363#120×C89—24no—
364#120×C89—42no—
365C2×C4⋊C4×C89C2311yescharacteristic
366C2×C4⋊C4×C89C2311yescharacteristic
367C2×C4⋊C4×C89C2311yescharacteristic
368C2×C4⋊C4×C89C2311yescharacteristic
369C2×C22⋊C4×C89C2311yescharacteristic
370C2×C22⋊C4×C89C2311yescharacteristic
371C2×C22⋊C4×C89C2311yescharacteristic
372C2×C22⋊C4×C89C2311yescharacteristic
373C2×C22⋊C4×C89C2311yescharacteristic
374C2×C22⋊C4×C89C2311yescharacteristic
375C2×C22⋊C4×C89C2311yescharacteristic
376C2×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×C42×C89C2311yescharacteristic
387#95×C89C2311yescharacteristic
388#95×C89C2311yescharacteristic
389#95×C89C2311yescharacteristic
390#95×C89C2311yescharacteristic
391C23×D89—22no—
392C23×D89—41no—
393C23×D89—41no—
394C23×D89—41no—
395C23×D89—41no—
396C23×D89—41no—
397C23×D89—41no—
398C23×D89C2411yescharacteristic
399C23×D89C2411yescharacteristic
400C23×D89C2411yescharacteristic
401#13083573—416no—
402C2×Dic178—22no—
403C2×Dic178—22no—
404C2×Dic178—22no—
405C2×Dic178—41no—
406C2×Dic178—41no—
407C2×Dic178—41no—
408C2×D356—41no—
409C2×D356—41no—
410C2×D356—41no—
411C2×D356—41no—
412C2×D356—41no—
413C2×D356—41no—
414C2×C22⋊D89—22no—
415C2×C22⋊D89—22no—
416C2×C22⋊D89—22no—
417C2×C22⋊D89—22no—
418C2×C22⋊D89—22no—
419C2×C22⋊D89—22no—
420C2×C22⋊D89—22no—
421C2×C22⋊D89—22no—
422C2×C22⋊D89—22no—
423C2×C22⋊D89—22no—
424C2×C22⋊D89—22no—
425C2×C22⋊D89—22no—
426C2×C22⋊D89—22no—
427C2×C22⋊D89—22no—
428C2×C22⋊D89—22no—
429C2×C22⋊D89—41no—
430C2×C22⋊D89—41no—
431C2×C22⋊D89—41no—
432C2×C22⋊D89—41no—
433C2×C22⋊D89—41no—
434C2×C22⋊D89—41no—
435C2×C22⋊D89—41no—
436C2×C22⋊D89—41no—
437C2×C22⋊D89—41no—
438C2×C22⋊D89—41no—
439C2×C22⋊D89—41no—
440C2×C22⋊D89—41no—
441C2×C22⋊D89—41no—
442C2×C22⋊D89—41no—
443C2×C22⋊D89—41no—
444C2×C22⋊D89—41no—
445C2×C22⋊D89—41no—
446C2×C22⋊D89—41no—
447C2×C22⋊D89—41no—
448C2×C22⋊D89—41no—
449C2×C22⋊D89—41no—
450C2×C22⋊D89—41no—
451C2×C22⋊D89—41no—
452C2×C22⋊D89—41no—
453C22×Dic89—22no—
454C22×Dic89—22no—
455C22×Dic89—22no—
456C22×Dic89—22no—
457C22×Dic89—22no—
458C22×Dic89—22no—
459C22×Dic89—22no—
460C22×Dic89—22no—
461C22×Dic89—22no—
462C22×Dic89—22no—
463C22×Dic89—22no—
464C22×Dic89—41no—
465C22×Dic89—41no—
466C22×Dic89—41no—
467C22×Dic89—41no—
468C22×Dic89—41no—
469C22×Dic89—41no—
470C22×Dic89—41no—
471C22×Dic89—41no—
472C22×Dic89—41no—
473C22×Dic89—41no—
474C22×Dic89—41no—
475C22×Dic89—416no—
476C22×Dic89C2×D414yes—
477C22×Dic89C2×D414yes—
478C22×Dic89C2411yescharacteristic
479C22×Dic89C2411yescharacteristic
480C22×Dic89C2411yescharacteristic
481C22×Dic89C2411yescharacteristic
482C22×Dic89C2411yescharacteristic
483C22×Dic89C2411yescharacteristic
484C22×Dic89C2411yescharacteristic
485C22×Dic89C2411yescharacteristic
486C22×Dic89C2411yescharacteristic
487C22×Dic89C2411yescharacteristic
488C22×Dic89C2411yescharacteristic
489C22×Dic89C2411yescharacteristic
490C22×Dic89C2411yescharacteristic
491C2×C4×D89—22no—
492C2×C4×D89—41no—
493C2×C4×D89—41no—
494C4⋊Dic89—22no—
495C4⋊Dic89—22no—
496C4⋊Dic89—22no—
497C4⋊Dic89—22no—
498C4⋊Dic89—41no—
499C4⋊Dic89—41no—
500C4⋊Dic89C2×D414yes—
501#13083553—22no—
502#13083553—22no—
503#13083553—22no—
504#13083553—22no—
505#13083553—22no—
506#13083553—22no—
507#13083553—41no—
508#13083553—41no—
509#13083553—41no—
510#13083553—41no—
511#13083553—41no—
512#13083553—41no—
513#13083553—41no—
514C22⋊Dic89—22no—
515C22⋊Dic89—22no—
516C22⋊Dic89—22no—
517C22⋊Dic89—22no—
518C22⋊Dic89—22no—
519C22⋊Dic89—22no—
520C22⋊Dic89—22no—
521C22⋊Dic89—22no—
522C22⋊Dic89—41no—
523C22⋊Dic89—41no—
524C22⋊Dic89—41no—
525C22⋊Dic89—41no—
526C22⋊Dic89—41no—
527C22⋊Dic89—41no—
528C22⋊Dic89—41no—
529C22⋊Dic89—41no—
530C22⋊Dic89C2×D414yes—
531C22⋊Dic89C2×D414yes—
532#13083551—22no—
533#13083551—22no—
534#13083551—22no—
535#13083551—22no—
536#13083551—22no—
537#13083551—22no—
538#13083551—22no—
539#13083551—22no—
540#13083551—22no—
541#13083551—22no—
542#13083551—22no—
543#13083551—22no—
544#13083551—41no—
545#13083551—41no—
546#13083551—41no—
547#13083551—41no—
548#13083551—41no—
549#13083551—41no—
550#13083551—41no—
551#13083551—41no—
552#13083551—41no—
553#13083551—41no—
554#13083551—41no—
555#13083551—41no—
556#13083551—41no—
557C4×Dic89—22no—
558C4×Dic89—22no—
559C4×Dic89—41no—
560C4×Dic89—41no—
561C4×Dic89—41no—
562C4×Dic89C2×D414yes—
563C24×C89—22no—
564C24×C89—22no—
565C24×C89—22no—
566C24×C89—41no—
567C24×C89—41no—
568C24×C89—41no—
569C24×C89—41no—
570C24×C89C2411yescharacteristic
571C24×C89C2411yescharacteristic
572C24×C89C2411yescharacteristic
573C24×C89C2411yescharacteristic
574C24×C89C2411yescharacteristic
575C2×D4×C89—22no—
576C2×D4×C89—22no—
577C2×D4×C89—22no—
578C2×D4×C89—22no—
579C2×D4×C89—22no—
580C2×D4×C89—22no—
581C2×D4×C89—22no—
582C2×D4×C89—22no—
583C2×D4×C89—41no—
584C2×D4×C89—41no—
585C2×D4×C89—41no—
586C2×D4×C89—41no—
587C2×D4×C89—41no—
588C2×D4×C89—41no—
589C2×D4×C89—41no—
590C2×D4×C89—41no—
591C2×D4×C89—41no—
592C2×D4×C89—41no—
593C2×D4×C89—41no—
594C2×D4×C89—41no—
595C2×D4×C89C2×D414yes—
596C22×C4×C89—22no—
597C22×C4×C89—41no—
598C22×C4×C89—41no—
599C22×C4×C89C2411yescharacteristic
600C22×C4×C89C2411yescharacteristic
601C22×C4×C89C2411yescharacteristic
602C22×C4×C89C2411yescharacteristic
603C22×C4×C89C2411yescharacteristic
604C22×C4×C89C2411yescharacteristic
605C22×C4×C89C2411yescharacteristic
606C22×C4×C89C2411yescharacteristic
607C22×C4×C89C2411yescharacteristic
608C22×C4×C89C2411yescharacteristic
609C4⋊C4×C89—22no—
610C4⋊C4×C89—41no—
611C4⋊C4×C89—41no—
612C4⋊C4×C89—41no—
613C22⋊C4×C89—22no—
614C22⋊C4×C89—22no—
615C22⋊C4×C89—22no—
616C22⋊C4×C89—22no—
617C22⋊C4×C89—22no—
618C22⋊C4×C89—22no—
619C22⋊C4×C89—22no—
620C22⋊C4×C89—41no—
621C22⋊C4×C89—41no—
622C22⋊C4×C89—41no—
623C22⋊C4×C89—41no—
624C22⋊C4×C89—41no—
625C22⋊C4×C89—41no—
626C22⋊C4×C89—41no—
627C22⋊C4×C89—41no—
628C22⋊C4×C89—41no—
629C22⋊C4×C89—41no—
630C42×C89—41no—
631C23×C89—21no—
632C23×C89—21no—
633C23×C89—21no—
634C23×C89—21no—
635C23×C89—21no—
636C23×C89—21no—
637C23×C89—21no—
638C23×C89—21no—
639C23×C89—21no—
640C23×C89—21no—
641C23×C89—21no—
642C23×C89—21no—
643C23×C89—21no—
644C23×C89—21no—
645C23×C89—21no—
646C23×C89—21no—
647C23×C89—21no—
648C23×C89—21no—
649C23×C89—21no—
650C23×C89—21no—
651C23×C89—21no—
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—44no—
663C23×C89—44no—
664C23×C89—44no—
665C23×C89—44no—
666C23×C89—44no—
667C23×C89—44no—
668C23×C89—44no—
669C23×C89C22×D412yes—
670C23×C89C22×D412yes—
671C23×C89H(5,𝔽2)12yes—
672C23×C89H(5,𝔽2)12yes—
673C23×C89C2511yescharacteristic
674C22×D89—21no—
675C22×D89—21no—
676C22×D89—21no—
677C22×D89—21no—
678C22×D89—21no—
679C22×D89—21no—
680C22×D89—21no—
681C22×D89—21no—
682C22×D89—21no—
683C22×D89—21no—
684C22×D89—21no—
685C22×D89—21no—
686C22×D89—21no—
687C22×D89—21no—
688C22×D89—21no—
689C22×D89—21no—
690C22×D89—21no—
691C22×D89—21no—
692C22×D89—21no—
693C22×D89—21no—
694C22×D89—21no—
695C22×D89—44no—
696C22×D89—82no—
697C22×D89—82no—
698C22×D89—82no—
699C22×D89—82no—
700C22×D89—82no—
701C22×D89—82no—
702D4×C89—44no—
703D4×C89—44no—
704D4×C89—44no—
705D4×C89—44no—
706D4×C89—82no—
707D4×C89—82no—
708D4×C89—82no—
709C2×C4×C89—21no—
710C2×C4×C89—21no—
711C2×C4×C89—21no—
712C2×C4×C89—21no—
713C2×C4×C89—21no—
714C2×C4×C89—21no—
715C2×C4×C89—21no—
716C2×C4×C89—21no—
717C2×C4×C89—21no—
718C2×C4×C89—21no—
719C2×C4×C89—21no—
720C2×C4×C89—21no—
721C2×C4×C89—21no—
722C2×C4×C89—21no—
723C2×C4×C89—21no—
724C2×C4×C89—21no—
725C2×C4×C89—21no—
726C2×C4×C89—21no—
727C2×C4×C89—21no—
728C2×C4×C89—21no—
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—82no—
739C2×C4×C89C22×D412yes—
740C22⋊D89—44no—
741C22⋊D89—44no—
742C22⋊D89—44no—
743C22⋊D89—44no—
744C22⋊D89—82no—
745C22⋊D89—82no—
746C22⋊D89—82no—
747C22⋊D89—82no—
748C22⋊D89—82no—
749C22⋊D89—82no—
750C22⋊D89—82no—
751C22⋊D89—82no—
752C22⋊D89—82no—
753C2×Dic89—28no—
754C2×Dic89—21no—
755C2×Dic89—21no—
756C2×Dic89—21no—
757C2×Dic89—21no—
758C2×Dic89—21no—
759C2×Dic89—21no—
760C2×Dic89—21no—
761C2×Dic89—21no—
762C2×Dic89—21no—
763C2×Dic89—21no—
764C2×Dic89—21no—
765C2×Dic89—21no—
766C2×Dic89—21no—
767C2×Dic89—21no—
768C2×Dic89—21no—
769C2×Dic89—21no—
770C2×Dic89—21no—
771C2×Dic89—21no—
772C2×Dic89—21no—
773C2×Dic89—21no—
774C2×Dic89—21no—
775C2×Dic89—21no—
776C2×Dic89—21no—
777C2×Dic89—21no—
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—44no—
789C2×Dic89—44no—
790C2×Dic89—44no—
791C2×Dic89—44no—
792C2×Dic89—44no—
793C2×Dic89—44no—
794C2×Dic89—82no—
795C2×Dic89C22×D412yes—
796C2×Dic89C22×D412yes—
797C2×Dic89C22×D412yes—
798C2×Dic89C22×D412yes—
799C2×Dic89H(5,𝔽2)12yes—
800D356—82no—
801D356—82no—
802C4×D89—44no—
803Dic178—44no—
804Dic178—82no—
805C22×C89—22no—
806C22×C89—22no—
807C22×C89—22no—
808C22×C89—22no—
809C22×C89—22no—
810C22×C89—22no—
811C22×C89—22no—
812C22×C89—22no—
813C22×C89—22no—
814C22×C89—22no—
815C22×C89—22no—
816C22×C89—22no—
817C22×C89—416no—
818C22×C89—41no—
819C22×C89—41no—
820C22×C89—41no—
821C22×C89—41no—
822C22×C89—41no—
823C22×C89—41no—
824C22×C89—41no—
825C22×C89—41no—
826C22×C89—41no—
827C22×C89—41no—
828C22×C89—41no—
829C22×C89—41no—
830C22×C89—41no—
831C22×C89—41no—
832C22×C89—41no—
833C22×C89—41no—
834C22×C89—41no—
835C22×C89—41no—
836C22×C89—41no—
837C22×C89—41no—
838C22×C89—41no—
839C22×C89—41no—
840C22×C89—41no—
841C22×C89C23×D411yescharacteristic
842C22×C89C2×H(5,𝔽2)11yescharacteristic
843C22×C89C2×H(5,𝔽2)11yescharacteristic
844C22×C89C2×H(5,𝔽2)11yescharacteristic
845C22×C89#58511yescharacteristic
846C22×C89#58511yescharacteristic
847C22×C89#58511yescharacteristic
848C2×D89—41no—
849C2×D89—41no—
850C2×D89—41no—
851C2×D89—41no—
852C2×D89—41no—
853C2×D89—41no—
854C2×D89—41no—
855C2×D89—41no—
856C2×D89—41no—
857C2×D89—41no—
858C2×D89—41no—
859C2×D89—41no—
860C2×D89—41no—
861C2×D89—41no—
862C2×D89—41no—
863C2×D89—41no—
864C2×D89—41no—
865C2×D89—41no—
866C2×D89—41no—
867C2×D89—41no—
868C2×D89—41no—
869C2×D89—88no—
870C4×C89—22no—
871C4×C89—41no—
872C4×C89—41no—
873C4×C89—41no—
874C4×C89—41no—
875C4×C89—41no—
876C4×C89—41no—
877C4×C89—41no—
878C4×C89—41no—
879C4×C89—41no—
880Dic89—22no—
881Dic89—22no—
882Dic89—22no—
883Dic89—22no—
884Dic89—22no—
885Dic89—41no—
886Dic89—41no—
887Dic89—41no—
888Dic89—41no—
889Dic89—41no—
890Dic89—41no—
891Dic89—41no—
892Dic89—41no—
893#36724—891nomaximal, Sylow
894C2×C89—42no—
895C2×C89—42no—
896C2×C89—42no—
897C2×C89—42no—
898C2×C89—81no—
899C2×C89#344911yescharacteristic
900C2×C89#348411yescharacteristic
901C2×C89#348811yescharacteristic
902C2×C89#353311yescharacteristic
903C2×C89#353411yescharacteristic
904C2×C89#354011yescharacteristic
905C2×C89#354211yescharacteristic
906D89—81no—
907D89—81no—
908D89—81no—
909C2×#538—891no—
910C2×#525—891no—
911#2849—891no—
912#2847—891no—
913#2705—891no—
914#2702—891no—
915#2700—891no—
916#2699—891no—
917#2687—891no—
918#2682—891no—
919#2681—891no—
920#2681—891no—
921#2679—891no—
922#2678—891no—
923#2678—891no—
924#2678D8911yescharacteristic, complemented
925#2672—891no—
926#2670—891no—
927#2669—891no—
928#2669—891no—
929#2635—891no—
930#2630—891no—
931#2610—891no—
932#2603—891no—
933#2601—891no—
934#2600—891no—
935#2544—891no—
936#2534—891no—
937#2407—891no—
938#2404—891no—
939#2319—891no—
940C89#3672411yescharacteristic, complemented, Sylow
941C22×#41—891no—
942C24×C4—891no—
943#538—1788no—
944C2×#127—891no—
945C2×#126—891no—
946C2×#126—891no—
947C2×#124—891no—
948C2×#124—891no—
949C2×#124—891no—
950#525—1788no—
951C2×#123—891no—
952C2×#123—891no—
953C2×#123—891no—
954C2×#123—891no—
955C2×#123—891no—
956C2×#123C2×D8911yescharacteristic
957C2×C22⋊Q8—891no—
958C2×C22⋊Q8—891no—
959C2×C22⋊Q8—891no—
960C2×C22⋊Q8—891no—
961C2×#121—891no—
962C2×#121—891no—
963C2×#121—891no—
964C2×#121—891no—
965C2×#121—891no—
966C2×#121—891no—
967C2×#121—891no—
968C2×#121C2×D8911yescharacteristic
969C2×#120—891no—
970C2×#120—891no—
971C2×#120—891no—
972C2×#120—891no—
973C2×#120—891no—
974C2×#120—891no—
975C2×#120—891no—
976C2×#120—891no—
977C2×#120C2×D8911yescharacteristic
978C2×#120C2×D8911yescharacteristic, complemented
979C2×C4×D4—891no—
980C2×C4×D4—891no—
981C2×C4×D4—891no—
982C2×C4×D4—891no—
983C2×C4×D4—891no—
984C2×#117—891no—
985C22×C22⋊C4—891no—
986#400—891no—
987#399—891no—
988#398—891no—
989#398—891no—
990#398—891no—
991#397—891no—
992#397—891no—
993#397C2×D8911yescharacteristic, complemented
994#396—891no—
995#396—891no—
996#396—891no—
997#396—891no—
998#396—891no—
999#396C2×D8911yescharacteristic, complemented
1000#395—891no—
1001#394—891no—
1002#394—891no—
1003#394—891no—
1004#394—891no—
1005#394—891no—
1006#394—891no—
1007#394—891no—
1008#394—891no—
1009#394—891no—
1010#394—891no—
1011#394—891no—
1012#394—891no—
1013#394—891no—
1014#394—891no—
1015#394—891no—
1016#394—891no—
1017#394—891no—
1018#394C2×D8911yescharacteristic, complemented
1019#394C2×D8911yescharacteristic, complemented
1020#393—891no—
1021#393—891no—
1022#393—891no—
1023#392—891no—
1024#392—891no—
1025#392—891no—
1026#392—891no—
1027#392—891no—
1028#392—891no—
1029#392—891no—
1030#392—891no—
1031#392—891no—
1032#392C2×D8911yescharacteristic
1033#392C2×D8911yescharacteristic
1034#391—891no—
1035#391—891no—
1036#390—891no—
1037#390—891no—
1038#390—891no—
1039#390—891no—
1040#390—891no—
1041#390—891no—
1042#390—891no—
1043#390C2×D8911yescharacteristic
1044#390C2×D8911yescharacteristic, complemented
1045#389—891no—
1046#389—891no—
1047#389—891no—
1048#388—891no—
1049#388—891no—
1050#388—891no—
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#387—891no—
1063#387—891no—
1064#386—891no—
1065#386—891no—
1066#386—891no—
1067#386—891no—
1068#386—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#386C2×D8911yescharacteristic
1080#385—891no—
1081#385—891no—
1082#385—891no—
1083#385—891no—
1084#385—891no—
1085#385—891no—
1086#381—891no—
1087#381—891no—
1088#381—891no—
1089#381—891no—
1090#380—891no—
1091#380—891no—
1092#380—891no—
1093#380—891no—
1094#379—891no—
1095#379C2×D8911yescharacteristic, complemented
1096C4×C4⋊C4—891no—
1097#376—891no—
1098C25—891no—
1099C25C22×D8911yescharacteristic
1100C2×#41—3562no—
1101C2×#41—3562no—
1102C2×#41—1784no—
1103C22×Q8—891no—
1104C22×Q8—891no—
1105C22×D4—891no—
1106C22×D4—891no—
1107C22×D4—891no—
1108C22×D4—891no—
1109C22×D4—891no—
1110C22×D4—891no—
1111C22×D4—891no—
1112C22×D4—891no—
1113C22×D4—891no—
1114C22×D4—891no—
1115C22×D4—891no—
1116C22×D4—891no—
1117C22×D4—891no—
1118C22×D4—891no—
1119C22×D4—891no—
1120C22×D4C22×D8911yescharacteristic
1121C22×D4C22×D8911yescharacteristic
1122C22×D4C22×D8911yescharacteristic
1123C22×D4C22×D8911yescharacteristic
1124C22×D4C22×D8911yescharacteristic
1125C22×D4C22×D8911yescharacteristic
1126C22×D4C22×D8911yescharacteristic
1127C23×C4—891no—
1128C23×C4—891no—
1129C23×C4—891no—
1130C23×C4—891no—
1131C23×C4—891no—
1132C23×C4—891no—
1133C23×C4—891no—
1134C23×C4—891no—
1135C23×C4—891no—
1136C23×C4—3562no—
1137C23×C4—3562no—
1138C23×C4—1784no—
1139C23×C4C22×D8911yescharacteristic
1140#127—3562no—
1141#126—1784no—
1142#126—1784no—
1143#124—3562no—
1144#124—1784no—
1145#124—1784no—
1146#123—42no—
1147#123—3562no—
1148#123—1784no—
1149#123—1784no—
1150#123—1784no—
1151#123—1784no—
1152C22⋊Q8—3562no—
1153C22⋊Q8—1784no—
1154C22⋊Q8—1784no—
1155C22⋊Q8—1784no—
1156#121—24no—
1157#121—3562no—
1158#121—3562no—
1159#121—3562no—
1160#121—1784no—
1161#121—1784no—
1162#121—1784no—
1163#121—1784no—
1164#120—24no—
1165#120—42no—
1166#120—3562no—
1167#120—3562no—
1168#120—3562no—
1169#120—3562no—
1170#120—3562no—
1171#120—1784no—
1172#120—1784no—
1173#120—1784no—
1174C4×D4—898no—
1175C4×D4—1784no—
1176C4×D4—1784no—
1177C4×D4—1784no—
1178C4×D4—1784no—
1179#117—1784no—
1180C2×C4⋊C4—891no—
1181C2×C4⋊C4—891no—
1182C2×C4⋊C4—891no—
1183C2×C4⋊C4—891no—
1184C2×C4⋊C4—891no—
1185C2×C4⋊C4—891no—
1186C2×C4⋊C4—891no—
1187C2×C4⋊C4—891no—
1188C2×C4⋊C4—891no—
1189C2×C4⋊C4—891no—
1190C2×C4⋊C4—891no—
1191C2×C4⋊C4—891no—
1192C2×C4⋊C4—891no—
1193C2×C4⋊C4—891no—
1194C2×C4⋊C4—891no—
1195C2×C4⋊C4—891no—
1196C2×C4⋊C4—891no—
1197C2×C4⋊C4—891no—
1198C2×C4⋊C4—891no—
1199C2×C4⋊C4—891no—
1200C2×C4⋊C4C22×D8911yescharacteristic
1201C2×C4⋊C4C22×D8911yescharacteristic
1202C2×C4⋊C4C22×D8911yescharacteristic
1203C2×C4⋊C4C22×D8911yescharacteristic
1204C2×C22⋊C4—891no—
1205C2×C22⋊C4—891no—
1206C2×C22⋊C4—891no—
1207C2×C22⋊C4—891no—
1208C2×C22⋊C4—891no—
1209C2×C22⋊C4—891no—
1210C2×C22⋊C4—891no—
1211C2×C22⋊C4—891no—
1212C2×C22⋊C4—891no—
1213C2×C22⋊C4—891no—
1214C2×C22⋊C4—891no—
1215C2×C22⋊C4—891no—
1216C2×C22⋊C4—891no—
1217C2×C22⋊C4—891no—
1218C2×C22⋊C4—891no—
1219C2×C22⋊C4—891no—
1220C2×C22⋊C4—891no—
1221C2×C22⋊C4—891no—
1222C2×C22⋊C4—891no—
1223C2×C22⋊C4—891no—
1224C2×C22⋊C4—891no—
1225C2×C22⋊C4—891no—
1226C2×C22⋊C4—891no—
1227C2×C22⋊C4—891no—
1228C2×C22⋊C4—891no—
1229C2×C22⋊C4—891no—
1230C2×C22⋊C4—891no—
1231C2×C22⋊C4—891no—
1232C2×C22⋊C4—891no—
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—1784no—
1248C2×C22⋊C4C22×D8911yescharacteristic
1249C2×C22⋊C4C22×D8911yescharacteristic
1250C2×C22⋊C4C22×D8911yescharacteristic
1251C2×C22⋊C4C22×D8911yescharacteristic
1252C2×C22⋊C4C22×D8911yescharacteristic
1253C2×C22⋊C4C22×D8911yescharacteristic
1254C2×C22⋊C4C22×D8911yescharacteristic
1255C2×C22⋊C4C22×D8911yescharacteristic
1256C2×C22⋊C4C22×D8911yescharacteristic
1257C2×C22⋊C4C22×D8911yescharacteristic
1258C2×C22⋊C4C22×D8911yescharacteristic
1259C2×C22⋊C4C22×D8911yescharacteristic
1260C2×C22⋊C4C22×D8911yescharacteristic
1261C2×C22⋊C4C22×D8911yescharacteristic
1262C2×C22⋊C4C22×D8911yescharacteristic
1263C2×C22⋊C4C22×D8911yescharacteristic
1264C2×C22⋊C4C22×D8911yescharacteristic
1265C2×C42—891no—
1266C2×C42—891no—
1267C2×C42—891no—
1268C2×C42—891no—
1269C2×C42—891no—
1270C2×C42—891no—
1271C2×C42C22×D8911yescharacteristic
1272#95—891no—
1273#95—891no—
1274#95—891no—
1275#95—891no—
1276#95—891no—
1277#95—891no—
1278#95—891no—
1279#95—891no—
1280#95—891no—
1281#95—891no—
1282#95—891no—
1283#95—891no—
1284#95—891no—
1285#95—891no—
1286#95—891no—
1287#95—891no—
1288#95—891no—
1289#95—891no—
1290#95—891no—
1291#95—891no—
1292#95—891no—
1293#95—891no—
1294#95—891no—
1295#95—891no—
1296#95C22×D8911yescharacteristic
1297#95C22×D8911yescharacteristic
1298#95C22×D8911yescharacteristic
1299#95C22×D8911yescharacteristic
1300C24—22no—
1301C24—22no—
1302C24—22no—
1303C24—41no—
1304C24—41no—
1305C24—41no—
1306C24—41no—
1307C24—891no—
1308C24—891no—
1309C24—891no—
1310C24—3561no—
1311C24—3561no—
1312C24—3561no—
1313C24—3561no—
1314C24—3561no—
1315C24—3561no—
1316C24—1782no—
1317C24C23×D8911yescharacteristic
1318C24C23×D8911yescharacteristic
1319C24C23×D8911yescharacteristic
1320C24C23×D8911yescharacteristic
1321C24C23×D8911yescharacteristic
1322#41—35616no—
1323C2×Q8—3561no—
1324C2×Q8—3561no—
1325C2×Q8—3561no—
1326C2×Q8—1782no—
1327C2×Q8—1782no—
1328C2×Q8—1782no—
1329C2×D4—22no—
1330C2×D4—22no—
1331C2×D4—22no—
1332C2×D4—22no—
1333C2×D4—22no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—22no—
1337C2×D4—41no—
1338C2×D4—41no—
1339C2×D4—41no—
1340C2×D4—41no—
1341C2×D4—41no—
1342C2×D4—41no—
1343C2×D4—41no—
1344C2×D4—41no—
1345C2×D4—41no—
1346C2×D4—41no—
1347C2×D4—41no—
1348C2×D4—41no—
1349C2×D4—3561no—
1350C2×D4—3561no—
1351C2×D4—3561no—
1352C2×D4—3561no—
1353C2×D4—3561no—
1354C2×D4—3561no—
1355C2×D4—3561no—
1356C2×D4—3561no—
1357C2×D4—3561no—
1358C2×D4—3561no—
1359C2×D4—3561no—
1360C2×D4—3561no—
1361C2×D4—3561no—
1362C2×D4—3561no—
1363C2×D4—3561no—
1364C2×D4—3561no—
1365C2×D4—3561no—
1366C2×D4—3561no—
1367C2×D4—3561no—
1368C2×D4—3561no—
1369C2×D4—3561no—
1370C2×D4—3561no—
1371C2×D4—3561no—
1372C2×D4—3561no—
1373C2×D4—3561no—
1374C2×D4—3561no—
1375C2×D4—3561no—
1376C2×D4—3561no—
1377C2×D4—3561no—
1378C2×D4—3561no—
1379C2×D4—1782no—
1380C2×D4—1782no—
1381C2×D4—1782no—
1382C2×D4—1782no—
1383C2×D4—1782no—
1384C2×D4—1782no—
1385C2×D4—1782no—
1386C2×D4—1782no—
1387C2×D4—1782no—
1388C2×D4—1782no—
1389C2×D4—1782no—
1390C2×D4—1782no—
1391C2×D4—1782no—
1392C2×D4—1782no—
1393C2×D4—1782no—
1394C2×D4D4×D8914yes—
1395C22×C4—22no—
1396C22×C4—41no—
1397C22×C4—41no—
1398C22×C4—894no—
1399C22×C4—894no—
1400C22×C4—891no—
1401C22×C4—891no—
1402C22×C4—891no—
1403C22×C4—891no—
1404C22×C4—891no—
1405C22×C4—891no—
1406C22×C4—891no—
1407C22×C4—891no—
1408C22×C4—891no—
1409C22×C4—891no—
1410C22×C4—891no—
1411C22×C4—891no—
1412C22×C4—891no—
1413C22×C4—3561no—
1414C22×C4—3561no—
1415C22×C4—35616no—
1416C22×C4—3561no—
1417C22×C4—3561no—
1418C22×C4—3561no—
1419C22×C4—3561no—
1420C22×C4—3561no—
1421C22×C4—3561no—
1422C22×C4—3561no—
1423C22×C4—3561no—
1424C22×C4—3561no—
1425C22×C4—3561no—
1426C22×C4—3561no—
1427C22×C4—1782no—
1428C22×C4—1782no—
1429C22×C4—1782no—
1430C22×C4—1782no—
1431C22×C4—1782no—
1432C22×C4—1782no—
1433C22×C4—1782no—
1434C22×C4—1782no—
1435C22×C4—1782no—
1436C22×C4—1782no—
1437C22×C4—1782no—
1438C22×C4—1782no—
1439C22×C4C23×D8911yescharacteristic
1440C22×C4C23×D8911yescharacteristic
1441C22×C4C23×D8911yescharacteristic
1442C22×C4C23×D8911yescharacteristic
1443C22×C4C23×D8911yescharacteristic
1444C22×C4C23×D8911yescharacteristic
1445C22×C4C23×D8911yescharacteristic
1446C22×C4C23×D8911yescharacteristic
1447C22×C4C23×D8911yescharacteristic
1448C22×C4C23×D8911yescharacteristic
1449C4⋊C4—22no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—894no—
1454C4⋊C4—3561no—
1455C4⋊C4—3561no—
1456C4⋊C4—3561no—
1457C4⋊C4—3561no—
1458C4⋊C4—3561no—
1459C4⋊C4—3561no—
1460C4⋊C4—3561no—
1461C4⋊C4—3561no—
1462C4⋊C4—3561no—
1463C4⋊C4—1782no—
1464C4⋊C4—1782no—
1465C4⋊C4—1782no—
1466C4⋊C4—1782no—
1467C4⋊C4—1782no—
1468C4⋊C4—1782no—
1469C4⋊C4—1782no—
1470C4⋊C4—1782no—
1471C4⋊C4—1782no—
1472C4⋊C4—1782no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—22no—
1478C22⋊C4—22no—
1479C22⋊C4—22no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—41no—
1485C22⋊C4—41no—
1486C22⋊C4—41no—
1487C22⋊C4—41no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—894no—
1491C22⋊C4—894no—
1492C22⋊C4—3561no—
1493C22⋊C4—3561no—
1494C22⋊C4—3561no—
1495C22⋊C4—3561no—
1496C22⋊C4—3561no—
1497C22⋊C4—3561no—
1498C22⋊C4—3561no—
1499C22⋊C4—3561no—
1500C22⋊C4—3561no—
1501C22⋊C4—3561no—
1502C22⋊C4—3561no—
1503C22⋊C4—3561no—
1504C22⋊C4—3561no—
1505C22⋊C4—3561no—
1506C22⋊C4—3561no—
1507C22⋊C4—3561no—
1508C22⋊C4—3561no—
1509C22⋊C4—3561no—
1510C22⋊C4—3561no—
1511C22⋊C4—3561no—
1512C22⋊C4—3561no—
1513C22⋊C4—1782no—
1514C22⋊C4—1782no—
1515C22⋊C4—1782no—
1516C22⋊C4—1782no—
1517C22⋊C4—1782no—
1518C22⋊C4—1782no—
1519C22⋊C4—1782no—
1520C22⋊C4—1782no—
1521C22⋊C4—1782no—
1522C22⋊C4—1782no—
1523C22⋊C4—1782no—
1524C22⋊C4—1782no—
1525C22⋊C4—1782no—
1526C22⋊C4—1782no—
1527C22⋊C4—1782no—
1528C22⋊C4—1782no—
1529C22⋊C4—1782no—
1530C22⋊C4—1782no—
1531C22⋊C4—1782no—
1532C22⋊C4—1782no—
1533C42—41no—
1534C42—894no—
1535C42—3561no—
1536C42—3561no—
1537C42—3561no—
1538C42—1782no—
1539C42—1782no—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—21no—
1571C23—44no—
1572C23—44no—
1573C23—44no—
1574C23—44no—
1575C23—44no—
1576C23—44no—
1577C23—44no—
1578C23—3564no—
1579C23—1781no—
1580C23—1781no—
1581C23—1781no—
1582C23—1781no—
1583C23—1781no—
1584C23—1781no—
1585C23—1781no—
1586C23—1781no—
1587C23—1781no—
1588C23—1781no—
1589C23—1781no—
1590C23—1781no—
1591C23—1781no—
1592C23—1781no—
1593C23—1781no—
1594C23—1781no—
1595C23—1781no—
1596C23—1781no—
1597C23—1781no—
1598C23—1781no—
1599C23—1781no—
1600C23—7122no—
1601C23—7122no—
1602C23—7122no—
1603C23—7122no—
1604C23—7122no—
1605C23—7122no—
1606C23C2×D4×D8912yes—
1607C23C2×D4×D8912yes—
1608C23#1566805712yes—
1609C23#1566805812yes—
1610C23C24×D8911yescharacteristic
1611Q8—3564no—
1612Q8—7122no—
1613D4—44no—
1614D4—44no—
1615D4—44no—
1616D4—44no—
1617D4—82no—
1618D4—82no—
1619D4—82no—
1620D4—3564no—
1621D4—3564no—
1622D4—3564no—
1623D4—3564no—
1624D4—7122no—
1625D4—7122no—
1626D4—7122no—
1627D4—7122no—
1628D4—7122no—
1629D4—7122no—
1630D4—7122no—
1631D4—7122no—
1632D4—7122no—
1633D4—7122no—
1634D4—7122no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—82no—
1665C2×C4—892no—
1666C2×C4—892no—
1667C2×C4—892no—
1668C2×C4—892no—
1669C2×C4—892no—
1670C2×C4—3564no—
1671C2×C4—3564no—
1672C2×C4—3564no—
1673C2×C4—3564no—
1674C2×C4—3564no—
1675C2×C4—3564no—
1676C2×C4—3564no—
1677C2×C4—1781no—
1678C2×C4—1781no—
1679C2×C4—1781no—
1680C2×C4—1781no—
1681C2×C4—1781no—
1682C2×C4—1781no—
1683C2×C4—1781no—
1684C2×C4—1781no—
1685C2×C4—1781no—
1686C2×C4—1781no—
1687C2×C4—1781no—
1688C2×C4—1781no—
1689C2×C4—1781no—
1690C2×C4—1781no—
1691C2×C4—1781no—
1692C2×C4—1781no—
1693C2×C4—1781no—
1694C2×C4—1781no—
1695C2×C4—1781no—
1696C2×C4—1781no—
1697C2×C4—1781no—
1698C2×C4—1781no—
1699C2×C4—1781no—
1700C2×C4—1781no—
1701C2×C4—1788no—
1702C2×C4—1781no—
1703C2×C4—1781no—
1704C2×C4—1781no—
1705C2×C4—1781no—
1706C2×C4—1781no—
1707C2×C4—1781no—
1708C2×C4—1781no—
1709C2×C4—1781no—
1710C2×C4—1781no—
1711C2×C4—1781no—
1712C2×C4—7122no—
1713C2×C4C2×D4×D8912yes—
1714C22—22no—
1715C22—22no—
1716C22—22no—
1717C22—22no—
1718C22—22no—
1719C22—22no—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—416no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—3561no—
1751C22—3561no—
1752C22—3561no—
1753C22—3561no—
1754C22—3561no—
1755C22—3561no—
1756C22—3561no—
1757C22—3561no—
1758C22—3561no—
1759C22—3561no—
1760C22—3561no—
1761C22—3561no—
1762C22—3561no—
1763C22—3561no—
1764C22—3561no—
1765C22—3561no—
1766C22—3561no—
1767C22—3561no—
1768C22—3561no—
1769C22—3561no—
1770C22—3561no—
1771C22—7128no—
1772C22C22×D4×D8911yescharacteristic
1773C22H(5,𝔽2)×D8911yescharacteristic
1774C22C2×#1566805711yescharacteristic
1775C22C2×#1566805811yescharacteristic
1776C22#1915243311yescharacteristic
1777C22#1915243311yescharacteristic
1778C22#1915243311yescharacteristic
1779C4—22no—
1780C4—41no—
1781C4—41no—
1782C4—41no—
1783C4—41no—
1784C4—41no—
1785C4—41no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—3561no—
1790C4—3561no—
1791C4—3561no—
1792C4—3561no—
1793C4—3561no—
1794C4—3561no—
1795C4—3561no—
1796C4—3561no—
1797C4—1782no—
1798C4—1782no—
1799C4—1782no—
1800C4—1782no—
1801C4—1782no—
1802C2—42no—
1803C2—42no—
1804C2—42no—
1805C2—42no—
1806C2—81no—
1807C2—7121no—
1808C2—7121no—
1809C2—7121no—
1810C2#2603357811yescharacteristic
1811C2#2603388211yescharacteristic
1812C2#2603391211yescharacteristic
1813C2#2603442011yescharacteristic
1814C2#2603443811yescharacteristic
1815C2#2603451911yescharacteristic
1816C2#2603455511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D89
commutator, socle, cosocleC23×C89C25
FittingC89×#2678C2
hypercenter#2678D89
hypocenterC89#36724
LCSG ▷ C23×C89 ▷ C89
UCSC1 ◁ C23 ◁ #2678

Complements

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

NH ≅ G/Ntype
1. C2×#19152185C2semidirect
2. C2×#19152104C2semidirect
3. #26028546C2semidirect
4. #26028532C2semidirect
5. #26026924C2semidirect
6. #26026877C2semidirect
7. #26026852C2semidirect
8. #26026835C2semidirect
9. #26026677C2semidirect
10. #26026616C2semidirect
11. #26026610C2semidirect
12. #26026610C2semidirect
13. #26026586C2semidirect
14. #26026579C2semidirect
15. #26026572C2semidirect
16. #26026503C2semidirect
17. #26026478C2semidirect
18. #26026469C2semidirect
19. #26026463C2semidirect
20. #26026138C2semidirect
21. #26026094C2semidirect
22. #26025936C2semidirect
23. #26025877C2semidirect
24. #26025850C2semidirect
25. #26025833C2semidirect
26. #26025218C2semidirect
27. #26025141C2semidirect
28. #26023590C2semidirect
29. #26023570C2semidirect
30. #26022889C2semidirect
31. C89×#2678C2semidirect
33. C24×Dic89C22semidirect
36. C2×#15668007C22semidirect
37. C2×#15668007C22semidirect
39. C2×#15667998C22semidirect
40. C2×#15667998C22semidirect
44. C2×#15667996C22semidirect
45. C2×#15667996C22semidirect
47. C2×#15667991C22semidirect
48. C2×#15667989C22semidirect
49. C2×#15667989C22semidirect
50. C2×#15667989C22semidirect
57. C2×#15667984C22semidirect
58. C2×#15667982C22semidirect
61. C2×#15667981C22semidirect
65. C2×#15667980C22semidirect
68. C2×D4×Dic89C22semidirect
69. C2×#15667972C22semidirect
70. C2×#15667972C22semidirect
71. C2×#15667968C22semidirect
72. C22×#13083551C22semidirect
73. #19151539C22semidirect
74. #19151533C22semidirect
75. #19151532C22semidirect
76. #19151532C22semidirect
77. #19151531C22semidirect
78. #19151527C22semidirect
79. #19151523C22semidirect
80. #19151522C22semidirect
81. #19151520C22semidirect
82. #19151520C22semidirect
83. #19151520C22semidirect
84. #19151520C22semidirect
85. #19151518C22semidirect
86. #19151516C22semidirect
87. #19151515C22semidirect
90. #19151514C22semidirect
91. #19151514C22semidirect
96. #19151513C22semidirect
97. #19151513C22semidirect
98. #19151513C22semidirect
99. #19151513C22semidirect
102. #19151512C22semidirect
103. #19151511C22semidirect
104. #19151511C22semidirect
105. #19151510C22semidirect
111. #19151507C22semidirect
113. #19151506C22semidirect
114. #19151506C22semidirect
115. #19151502C22semidirect
116. #19151502C22semidirect
118. #19151500C22semidirect
122. #19151498C22semidirect
123. #19151498C22semidirect
124. #19151496C22semidirect
125. #19151494C22semidirect
126. #19151494C22semidirect
127. #19151492C22semidirect
128. #19151492C22semidirect
129. #19151492C22semidirect
130. #19151492C22semidirect
131. #19151492C22semidirect
132. #19151489C22semidirect
133. #19151488C22semidirect
134. #19151488C22semidirect
135. #19151488C22semidirect
136. #19151487C22semidirect
137. #19151486C22semidirect
138. #19151486C22semidirect
139. #19151486C22semidirect
140. #19151485C22semidirect
141. #19151485C22semidirect
142. #19151478C22semidirect
143. #19151478C22semidirect
144. #19151478C22semidirect
145. #19151478C22semidirect
146. #19151477C22semidirect
147. #19151476C22semidirect
148. #19151476C22semidirect
156. #19151474C22semidirect
157. #19151473C22semidirect
158. #19151473C22semidirect
159. #19151473C22semidirect
160. #19151473C22semidirect
161. #19151473C22semidirect
162. #19151472C22semidirect
163. #19151461C22semidirect
164. #19151459C22semidirect
165. #19151459C22semidirect
166. #19151459C22semidirect
167. #19151456C22semidirect
168. #19151456C22semidirect
169. #19151456C22semidirect
170. #19151456C22semidirect
171. #19151453C22semidirect
172. C4⋊C4×Dic89C22semidirect
173. #19151444C22semidirect
177. C2×#120×C89C22semidirect
178. #397×C89C22semidirect
179. #396×C89C22semidirect
180. #394×C89C22semidirect
181. #394×C89C22semidirect
185. #390×C89C22semidirect
186. #388×C89C22semidirect
188. #379×C89C22semidirect
254. D4×Dic89D4semidirect
924. #2678D89semidirect
940. C89#36724semidirect
978. C2×#120C2×D89semidirect
993. #397C2×D89semidirect
999. #396C2×D89semidirect
1018. #394C2×D89semidirect
1019. #394C2×D89semidirect
1044. #390C2×D89semidirect
1061. #388C2×D89semidirect
1095. #379C2×D89semidirect

Maximal subgroups

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

subgroupindex
C2×#191521852
C2×#191521042
#260285462
#260285322
#260269242
#260268772
#260268522
#260268352
#260266772
#260266162
#260266102
#260265862
#260265792
#260265722
#260265032
#260264782
#260264692
#260264632
#260261382
#260260942
#260259362
#260258772
#260258502
#260258332
#260252182
#260251412
#260235902
#260235702
#260228892
C89×#26782
#3672489