Finite Group Databasebeta

← #29451773

Subgroups — #29451773

Order 15104.

2184 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21431132C211yesmaximal, characteristic, complemented
2#21430422C211yesmaximal, characteristic, complemented
3#21430415C211yesmaximal, characteristic, complemented
4#21430320C211yesmaximal, characteristic, complemented
5#21429713C211yesmaximal, characteristic, complemented
6#21429706C211yesmaximal, characteristic, complemented
7#21429662C211yesmaximal, characteristic, complemented
8#21429658C211yesmaximal, characteristic, complemented
9#21429654C211yesmaximal, characteristic, complemented
10#21429647C211yesmaximal, characteristic, complemented
11#21429522C211yesmaximal, characteristic, complemented
12#21429513C211yesmaximal, characteristic, complemented
13#21429453C211yesmaximal, characteristic, complemented
14#21429195C211yesmaximal, characteristic, complemented
15#21429191C211yesmaximal, characteristic, complemented
16#21429056C211yesmaximal, characteristic, complemented
17#21428830C211yesmaximal, characteristic, complemented
18#21428760C211yesmaximal, characteristic, complemented
19#21428748C211yesmaximal, characteristic, complemented
20#21427995C211yesmaximal, characteristic, complemented
21#21427982C211yesmaximal, characteristic, complemented
22#21427980C211yesmaximal, characteristic, complemented
23#21427167C211yesmaximal, characteristic, complemented
24#21427164C211yesmaximal, characteristic, complemented
25#21427134C211yesmaximal, characteristic, complemented
26#21427132C211yesmaximal, characteristic, complemented
27#21427084C211yesmaximal, characteristic, complemented
28C4×#14273697C211yesmaximal, characteristic, complemented
29#21426597C211yesmaximal, characteristic, complemented
30C4×#14273695C211yesmaximal, characteristic, complemented
31C59×#2359C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33C2×#14273715C2211yescharacteristic
34C2×#14273713C2211yescharacteristic
35C2×#14273712C2211yescharacteristic, complemented
36C2×#14273712C2211yescharacteristic, complemented
37C2×#14273710C2211yescharacteristic
38C2×#14273701C2211yescharacteristic
39C2×#14273701C2211yescharacteristic
40C2×#14273701C2211yescharacteristic, complemented
41C2×#14273697C2211yescharacteristic
42C2×#14273697C2211yescharacteristic
43C2×#14273695C2211yescharacteristic
44C2×#14273692C2211yescharacteristic, complemented
45C2×C4×D236C2211yescharacteristic
46C2×C4×D236C2211yescharacteristic
47C2×#14273689C2211yescharacteristic
48C2×#14273689C2211yescharacteristic
49C2×C4×C22⋊D59C2211yescharacteristic
50C2×C4×C22⋊D59C2211yescharacteristic
51C2×C4×C22⋊D59C2211yescharacteristic
52C2×(C22⋊D59)⋊C4C2211yescharacteristic
53C2×#14273686C2211yescharacteristic, complemented
54#16837344C2211yescharacteristic, complemented
55#16837341C2211yescharacteristic, complemented
56#16837338C2211yescharacteristic, complemented
57#16837337C2211yescharacteristic
58#16837334C2211yescharacteristic, complemented
59#16837331C2211yescharacteristic
60#16837331C2211yescharacteristic
61#16837331C2211yescharacteristic, complemented
62#16837330C2211yescharacteristic
63#16837329C2211yescharacteristic
64#16837328C2211yescharacteristic
65#16837328C2211yescharacteristic, complemented
66#16837325C2211yescharacteristic
67#16837325C2211yescharacteristic
68#16837324C2211yescharacteristic
69#16837324C2211yescharacteristic
70#16837320C2211yescharacteristic
71#16837320C2211yescharacteristic
72#16837320C2211yescharacteristic, complemented
73#16837319C2211yescharacteristic
74#16837319C2211yescharacteristic
75#16837318C2211yescharacteristic
76#16837317C2211yescharacteristic
77#16837315C2211yescharacteristic
78#16837314C2211yescharacteristic, complemented
79#16837312C2211yescharacteristic
80#16837312C2211yescharacteristic
81#16837311C2211yescharacteristic
82#16837311C2211yescharacteristic
83#16837311C2211yescharacteristic
84#16837310C2211yescharacteristic
85#16837310C2211yescharacteristic
86#16837307C2211yescharacteristic, complemented
87#16837306C2211yescharacteristic, complemented
88#16837304C2211yescharacteristic
89#16837303C2211yescharacteristic
90#16837303C2211yescharacteristic
91#16837302C2211yescharacteristic
92#16837302C2211yescharacteristic
93#16837302C2211yescharacteristic
94#16837302C2211yescharacteristic, complemented
95#16837302C2211yescharacteristic, complemented
96#16837300C2211yescharacteristic, complemented
97#16837299C2211yescharacteristic, complemented
98#16837299C2211yescharacteristic, complemented
99#16837298C2211yescharacteristic, complemented
100#16837297C2211yescharacteristic, complemented
101#16837295C2211yescharacteristic
102#16837294C2211yescharacteristic
103#16837294C2211yescharacteristic
104#16837294C2211yescharacteristic, complemented
105#16837294C2211yescharacteristic, complemented
106#16837294C2211yescharacteristic, complemented
107#16837293C2211yescharacteristic
108#16837293C2211yescharacteristic
109#16837293C2211yescharacteristic, complemented
110#16837293C2211yescharacteristic, complemented
111#16837293C2211yescharacteristic, complemented
112#16837293C2211yescharacteristic, complemented
113#16837293C2211yescharacteristic, complemented
114#16837292C2211yescharacteristic, complemented
115#16837292C2211yescharacteristic, complemented
116#16837291C2211yescharacteristic
117#16837291C2211yescharacteristic
118#16837291C2211yescharacteristic, complemented
119#16837291C2211yescharacteristic, complemented
120#16837290C2211yescharacteristic
121#16837289C2211yescharacteristic, complemented
122#16837289C2211yescharacteristic, complemented
123#16837288C2211yescharacteristic, complemented
124#16837286C2211yescharacteristic, complemented
125#16837284C2211yescharacteristic, complemented
126#16837283C2211yescharacteristic, complemented
127#16837282C2211yescharacteristic
128#16837281C2211yescharacteristic
129#16837281C2211yescharacteristic
130#16837281C2211yescharacteristic, complemented
131#16837281C2211yescharacteristic, complemented
132#16837280C2211yescharacteristic
133#16837280C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837279C2211yescharacteristic
137#16837278C2211yescharacteristic
138#16837278C2211yescharacteristic
139#16837278C2211yescharacteristic, complemented
140#16837278C2211yescharacteristic, complemented
141#16837277C2211yescharacteristic
142#16837276C2211yescharacteristic
143#16837276C2211yescharacteristic
144#16837276C2211yescharacteristic, complemented
145#16837275C2211yescharacteristic, complemented
146#16837274C2211yescharacteristic
147#16837273C2211yescharacteristic
148#16837273C2211yescharacteristic
149#16837273C2211yescharacteristic
150#16837273C2211yescharacteristic
151#16837273C2211yescharacteristic, complemented
152#16837270C2211yescharacteristic, complemented
153#16837269C2211yescharacteristic, complemented
154#16837266C2211yescharacteristic, complemented
155#16837257C2211yescharacteristic
156#16837257C2211yescharacteristic
157#16837257C2211yescharacteristic
158C4⋊C4×Dic59C2211yescharacteristic, complemented
159C4×C4⋊Dic59C2211yescharacteristic, complemented
160#16837253C2211yescharacteristic, complemented
161C22⋊C4×Dic59C2211yescharacteristic
162C4×(C2×D59)⋊C4C2211yescharacteristic
163C4×(C2×D59)⋊C4C2211yescharacteristic
164C4×(C2×D59)⋊C4C2211yescharacteristic
165C4×(C2×D59)⋊C4C2211yescharacteristic
166C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
167C4×C22⋊Dic59C2211yescharacteristic
168C4×C22⋊Dic59C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic
170#16837249C2211yescharacteristic
171#16837249C2211yescharacteristic, complemented
172C2×#123×C59C2211yescharacteristic
173C2×C4×D4×C59C2211yescharacteristic
174C2×#117×C59C2211yescharacteristic, complemented
175C59×#389C2211yescharacteristic, complemented
176C59×#388C2211yescharacteristic
177C59×#388C2211yescharacteristic
178C59×#387C2211yescharacteristic, complemented
179C59×#387C2211yescharacteristic, complemented
180C59×#386C2211yescharacteristic
181C59×#385C2211yescharacteristic
182C59×#385C2211yescharacteristic, complemented
183C4×C4⋊C4×C59C2211yescharacteristic, complemented
184C4×C22⋊C4×C59C2211yescharacteristic
185C4×C22⋊C4×C59C2211yescharacteristic, complemented
186C2×#95×C59C2211yescharacteristic, complemented
187C24×D59C2311yescharacteristic
188C22×Dic118C2311yescharacteristic
189C22×D236C2311yescharacteristic
190C22×D236C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C23×Dic59C2311yescharacteristic
201C22×C4×D59—42no—
202C22×C4×D59—42no—
203C22×C4×D59—42no—
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210#14273715—24no—
211#14273713—24no—
212#14273712—42no—
213#14273712—42no—
214#14273710—24no—
215#14273701—24no—
216#14273701—24no—
217#14273701—42no—
218#14273697—24no—
219#14273697—24no—
220#14273695—24no—
221#14273692—42no—
222C4×D236—42no—
223C4×D236—42no—
224#14273689—42no—
225#14273689—42no—
226C4×C22⋊D59—42no—
227C4×C22⋊D59—42no—
228C4×C22⋊D59—42no—
229(C22⋊D59)⋊C4—42no—
230#14273686—42no—
231C2×C4⋊Dic59C2311yescharacteristic
232C2×C4⋊Dic59C2311yescharacteristic
233C2×C4⋊Dic59C2311yescharacteristic
234C2×C4⋊Dic59C2311yescharacteristic
235C2×C4⋊Dic59C2311yescharacteristic
236C2×C4⋊Dic59C2311yescharacteristic
237C2×Dic59⋊C4C2311yescharacteristic
238C2×Dic59⋊C4C2311yescharacteristic
239C2×Dic59⋊C4C2311yescharacteristic
240C2×Dic59⋊C4C2311yescharacteristic
241C2×Dic59⋊C4C2311yescharacteristic
242C2×Dic59⋊C4C2311yescharacteristic
243C2×Dic59⋊C4C2311yescharacteristic
244C2×Dic59⋊C4C2311yescharacteristic
245C2×Dic59⋊C4C2311yescharacteristic
246C2×Dic59⋊C4C2311yescharacteristic
247C2×Dic59⋊C4C2311yescharacteristic
248C2×Dic59⋊C4C2311yescharacteristic
249C2×C22⋊Dic59C2311yescharacteristic
250C2×C22⋊Dic59C2311yescharacteristic
251C2×C22⋊Dic59C2311yescharacteristic
252C2×C22⋊Dic59C2311yescharacteristic
253C2×C22⋊Dic59C2311yescharacteristic
254C2×C22⋊Dic59C2311yescharacteristic
255C2×C22⋊Dic59C2311yescharacteristic
256C2×C22⋊Dic59C2311yescharacteristic
257C2×(C2×D59)⋊C4C2311yescharacteristic
258C2×(C2×D59)⋊C4C2311yescharacteristic
259C2×(C2×D59)⋊C4C2311yescharacteristic
260C2×(C2×D59)⋊C4C2311yescharacteristic
261C2×(C2×D59)⋊C4C2311yescharacteristic
262C2×(C2×D59)⋊C4C2311yescharacteristic
263C2×(C2×D59)⋊C4C2311yescharacteristic
264C2×(C2×D59)⋊C4C2311yescharacteristic
265C2×(C2×D59)⋊C4C2311yescharacteristic
266C2×(C2×D59)⋊C4C2311yescharacteristic
267C2×(C2×D59)⋊C4C2311yescharacteristic
268C2×(C2×D59)⋊C4C2311yescharacteristic
269C2×(C2×D59)⋊C4C2311yescharacteristic
270C2×(C2×D59)⋊C4C2311yescharacteristic
271C2×(C2×D59)⋊C4C2311yescharacteristic
272C2×(C2×D59)⋊C4C2311yescharacteristic
273C2×(C2×D59)⋊C4C2311yescharacteristic
274C2×(C2×D59)⋊C4C2311yescharacteristic
275C2×(C2×D59)⋊C4C2311yescharacteristic
276C2×(C2×D59)⋊C4C2311yescharacteristic
277C2×(C2×D59)⋊C4C2311yescharacteristic
278C2×(C2×D59)⋊C4C2311yescharacteristic
279C2×(C2×D59)⋊C4C2311yescharacteristic
280C2×(C2×D59)⋊C4C2311yescharacteristic
281C2×(C2×D59)⋊C4C2311yescharacteristic
282C2×(C2×D59)⋊C4C2311yescharacteristic
283C2×(C2×D59)⋊C4C2311yescharacteristic
284C2×(C2×D59)⋊C4C2311yescharacteristic
285C2×(C2×D59)⋊C4C2311yescharacteristic
286C2×(C2×D59)⋊C4C2311yescharacteristic
287C2×(C2×D59)⋊C4C2311yescharacteristic
288C2×(C2×D59)⋊C4C2311yescharacteristic
289C2×(C2×D59)⋊C4C2311yescharacteristic
290C2×(C2×D59)⋊C4C2311yescharacteristic
291C2×(C2×D59)⋊C4C2311yescharacteristic
292C2×(C2×D59)⋊C4C2311yescharacteristic
293C2×C4×Dic59C2311yescharacteristic
294C2×C4×Dic59C2311yescharacteristic
295C2×C4×Dic59C2311yescharacteristic
296C2×C4×Dic59C2311yescharacteristic
297C2×C4×Dic59C2311yescharacteristic
298C2×C4×Dic59C2311yescharacteristic
299C2×C4×Dic59C2311yescharacteristic
300C2×C4×Dic59C2311yescharacteristic
301C2×C4×Dic59C2311yescharacteristic
302C2×C4×Dic59C2311yescharacteristic
303C59⋊#95C2311yescharacteristic
304C59⋊#95C2311yescharacteristic
305C59⋊#95C2311yescharacteristic
306C59⋊#95C2311yescharacteristic
307C59⋊#95C2311yescharacteristic
308C59⋊#95C2311yescharacteristic
309C59⋊#95C2311yescharacteristic
310C59⋊#95C2311yescharacteristic
311C59⋊#95C2311yescharacteristic
312C59⋊#95C2311yescharacteristic
313C59⋊#95C2311yescharacteristic
314C59⋊#95C2311yescharacteristic
315C59⋊#95C2311yescharacteristic
316C59⋊#95C2311yescharacteristic
317C59⋊#95C2311yescharacteristic
318C59⋊#95C2311yescharacteristic
319C59⋊#95C2311yescharacteristic
320C59⋊#95C2311yescharacteristic
321C59⋊#95C2311yescharacteristic
322C59⋊#95C2311yescharacteristic
323C59⋊#95C2311yescharacteristic
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C22×D4×C59C2311yescharacteristic
332C23×C4×C59C2311yescharacteristic
333C23×C4×C59C2311yescharacteristic
334C23×C4×C59C2311yescharacteristic
335C23×C4×C59C2311yescharacteristic
336#123×C59—24no—
337C4×D4×C59—42no—
338#117×C59—42no—
339C2×C4⋊C4×C59C2311yescharacteristic
340C2×C4⋊C4×C59C2311yescharacteristic
341C2×C4⋊C4×C59C2311yescharacteristic
342C2×C4⋊C4×C59C2311yescharacteristic
343C2×C4⋊C4×C59C2311yescharacteristic
344C2×C4⋊C4×C59C2311yescharacteristic
345C2×C4⋊C4×C59C2311yescharacteristic
346C2×C22⋊C4×C59C2311yescharacteristic
347C2×C22⋊C4×C59C2311yescharacteristic
348C2×C22⋊C4×C59C2311yescharacteristic
349C2×C22⋊C4×C59C2311yescharacteristic
350C2×C22⋊C4×C59C2311yescharacteristic
351C2×C22⋊C4×C59C2311yescharacteristic
352C2×C22⋊C4×C59C2311yescharacteristic
353C2×C22⋊C4×C59C2311yescharacteristic
354C2×C42×C59C2311yescharacteristic
355C2×C42×C59C2311yescharacteristic
356C2×C42×C59C2311yescharacteristic
357C2×C42×C59C2311yescharacteristic
358C2×C42×C59C2311yescharacteristic
359#95×C59C2311yescharacteristic
360#95×C59C2311yescharacteristic
361#95×C59C2311yescharacteristic
362#95×C59C2311yescharacteristic
363#95×C59C2311yescharacteristic
364#95×C59C2311yescharacteristic
365#95×C59C2311yescharacteristic
366#95×C59C2311yescharacteristic
367#95×C59C2311yescharacteristic
368#95×C59C2311yescharacteristic
369C24×C59C2411yescharacteristic
370C24×C59C2411yescharacteristic
371C23×D59—22no—
372C23×D59—22no—
373C23×D59—22no—
374C23×D59—41no—
375C23×D59—41no—
376C23×D59—41no—
377C23×D59—41no—
378C23×D59C2411yescharacteristic
379C23×D59C2411yescharacteristic
380C23×D59C2411yescharacteristic
381C23×D59C2411yescharacteristic
382C2×D4×C59—22no—
383C2×D4×C59—22no—
384C2×D4×C59—41no—
385C22×C4×C59—22no—
386C22×C4×C59—22no—
387C22×C4×C59—22no—
388C22×C4×C59—22no—
389C22×C4×C59—22no—
390C22×C4×C59—22no—
391C22×C4×C59—22no—
392C22×C4×C59—41no—
393C22×C4×C59—41no—
394C22×C4×C59—41no—
395C22×C4×C59—41no—
396C22×C4×C59—41no—
397C22×C4×C59C2411yescharacteristic
398C22×C4×C59C2411yescharacteristic
399C22×C4×C59C2411yescharacteristic
400C22×C4×C59C2411yescharacteristic
401C22×C4×C59C2411yescharacteristic
402C22×C4×C59C2411yescharacteristic
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C2×C22⋊D59—22no—
411C2×C22⋊D59—22no—
412C2×C22⋊D59—22no—
413C2×C22⋊D59—22no—
414C2×C22⋊D59—22no—
415C2×C22⋊D59—22no—
416C2×C22⋊D59—22no—
417C2×C22⋊D59—41no—
418C2×C22⋊D59—41no—
419C2×C22⋊D59—41no—
420C2×C22⋊D59—41no—
421C2×C22⋊D59—41no—
422C2×C22⋊D59—41no—
423C2×C22⋊D59—41no—
424C2×C22⋊D59—41no—
425C2×C22⋊D59—41no—
426C2×C22⋊D59—41no—
427C2×C22⋊D59#4114yes—
428C22×Dic59—22no—
429C22×Dic59—41no—
430C22×Dic59—41no—
431C22×Dic59C2411yescharacteristic
432C22×Dic59C2411yescharacteristic
433C22×Dic59C2411yescharacteristic
434C22×Dic59C2411yescharacteristic
435C22×Dic59C2411yescharacteristic
436C22×Dic59C2411yescharacteristic
437C22×Dic59C2411yescharacteristic
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C2×D236—22no—
444C2×D236—22no—
445C2×D236—22no—
446C2×D236—22no—
447C2×D236—22no—
448C2×D236—22no—
449C2×D236—22no—
450C2×D236—41no—
451C2×D236—41no—
452C2×D236—41no—
453C2×D236—41no—
454C2×D236—41no—
455C2×D236—41no—
456C2×D236—41no—
457C2×D236—41no—
458C2×C4×D59—22no—
459C2×C4×D59—22no—
460C2×C4×D59—22no—
461C2×C4×D59—22no—
462C2×C4×D59—22no—
463C2×C4×D59—22no—
464C2×C4×D59—22no—
465C2×C4×D59—22no—
466C2×C4×D59—41no—
467C2×C4×D59—41no—
468C2×C4×D59—41no—
469C2×C4×D59—41no—
470C2×C4×D59—41no—
471C2×C4×D59—41no—
472C2×C4×D59—416no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×Dic118—22no—
478C2×Dic118—22no—
479C2×Dic118—41no—
480C4⋊C4×C59—22no—
481C4⋊C4×C59—22no—
482C4⋊C4×C59—22no—
483C4⋊C4×C59—22no—
484C4⋊C4×C59—22no—
485C4⋊C4×C59—41no—
486C4⋊C4×C59—41no—
487C22⋊C4×C59—22no—
488C22⋊C4×C59—22no—
489C22⋊C4×C59—22no—
490C22⋊C4×C59—22no—
491C22⋊C4×C59—41no—
492C22⋊C4×C59—41no—
493C22⋊C4×C59—41no—
494C22⋊C4×C59#4114yes—
495C42×C59—22no—
496C42×C59—22no—
497C42×C59—41no—
498C42×C59—41no—
499C42×C59—41no—
500C22⋊Dic59—22no—
501C22⋊Dic59—22no—
502C22⋊Dic59—22no—
503C22⋊Dic59—22no—
504C22⋊Dic59—41no—
505C22⋊Dic59—41no—
506C22⋊Dic59—41no—
507C22⋊Dic59—41no—
508(C2×D59)⋊C4—22no—
509(C2×D59)⋊C4—22no—
510(C2×D59)⋊C4—22no—
511(C2×D59)⋊C4—22no—
512(C2×D59)⋊C4—22no—
513(C2×D59)⋊C4—22no—
514(C2×D59)⋊C4—22no—
515(C2×D59)⋊C4—22no—
516(C2×D59)⋊C4—22no—
517(C2×D59)⋊C4—22no—
518(C2×D59)⋊C4—22no—
519(C2×D59)⋊C4—22no—
520(C2×D59)⋊C4—22no—
521(C2×D59)⋊C4—22no—
522(C2×D59)⋊C4—22no—
523(C2×D59)⋊C4—22no—
524(C2×D59)⋊C4—22no—
525(C2×D59)⋊C4—22no—
526(C2×D59)⋊C4—22no—
527(C2×D59)⋊C4—41no—
528(C2×D59)⋊C4—41no—
529(C2×D59)⋊C4—41no—
530(C2×D59)⋊C4—41no—
531(C2×D59)⋊C4—41no—
532(C2×D59)⋊C4—41no—
533(C2×D59)⋊C4—41no—
534(C2×D59)⋊C4—41no—
535(C2×D59)⋊C4—41no—
536(C2×D59)⋊C4—41no—
537(C2×D59)⋊C4—41no—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4—41no—
543(C2×D59)⋊C4#4114yes—
544C4⋊Dic59—22no—
545C4⋊Dic59—22no—
546C4⋊Dic59—22no—
547C4⋊Dic59—41no—
548C4⋊Dic59—41no—
549C4⋊Dic59—41no—
550Dic59⋊C4—22no—
551Dic59⋊C4—22no—
552Dic59⋊C4—22no—
553Dic59⋊C4—22no—
554Dic59⋊C4—41no—
555Dic59⋊C4—41no—
556Dic59⋊C4—41no—
557Dic59⋊C4—41no—
558Dic59⋊C4—41no—
559Dic59⋊C4—41no—
560Dic59⋊C4—41no—
561Dic59⋊C4—41no—
562C4×Dic59—22no—
563C4×Dic59—22no—
564C4×Dic59—22no—
565C4×Dic59—41no—
566C4×Dic59—41no—
567C4×Dic59—41no—
568C4×Dic59—41no—
569C4×Dic59—41no—
570C4×Dic59—41no—
571C4×Dic59—41no—
572C23×C59—21no—
573C23×C59—21no—
574C23×C59—21no—
575C23×C59—21no—
576C23×C59—21no—
577C23×C59—21no—
578C23×C59—21no—
579C23×C59—21no—
580C23×C59—21no—
581C23×C59—21no—
582C23×C59—21no—
583C23×C59—21no—
584C23×C59C2×#4112yes—
585C23×C59C2×#4112yes—
586C23×C59C2511yescharacteristic
587C22×D59—21no—
588C22×D59—21no—
589C22×D59—21no—
590C22×D59—21no—
591C22×D59—21no—
592C22×D59—21no—
593C22×D59—21no—
594C22×D59—21no—
595C22×D59—21no—
596C22×D59—21no—
597C22×D59—21no—
598C22×D59—21no—
599C22×D59—21no—
600C22×D59—21no—
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—21no—
606C22×D59—21no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—44no—
614C22×D59—44no—
615C22×D59—44no—
616C22×D59—44no—
617C22×D59—44no—
618C22×D59—44no—
619C22×D59—44no—
620C22×D59C2×#4112yes—
621C22×D59C2×#4112yes—
622D4×C59—44no—
623C2×C4×C59—21no—
624C2×C4×C59—21no—
625C2×C4×C59—21no—
626C2×C4×C59—21no—
627C2×C4×C59—21no—
628C2×C4×C59—21no—
629C2×C4×C59—21no—
630C2×C4×C59—21no—
631C2×C4×C59—21no—
632C2×C4×C59—21no—
633C2×C4×C59—21no—
634C2×C4×C59—21no—
635C2×C4×C59—21no—
636C2×C4×C59—21no—
637C2×C4×C59—21no—
638C2×C4×C59—21no—
639C2×C4×C59—21no—
640C2×C4×C59—21no—
641C2×C4×C59—21no—
642C2×C4×C59—21no—
643C2×C4×C59—21no—
644C2×C4×C59—21no—
645C2×C4×C59—21no—
646C2×C4×C59—21no—
647C2×C4×C59—21no—
648C2×C4×C59—21no—
649C2×C4×C59—21no—
650C2×C4×C59—21no—
651C2×C4×C59—21no—
652C2×C4×C59—21no—
653C2×C4×C59—21no—
654C2×C4×C59—21no—
655C2×C4×C59—21no—
656C2×C4×C59—21no—
657C2×C4×C59—44no—
658C2×C4×C59—44no—
659C2×C4×C59—44no—
660C2×C4×C59—82no—
661C2×C4×C59C2×#4112yes—
662C2×C4×C59C2×#4112yes—
663C2×C4×C59C2×#4112yes—
664C2×C4×C59H(5,𝔽2)12yes—
665C2×C4×C59H(5,𝔽2)12yes—
666C22⋊D59—44no—
667C22⋊D59—44no—
668C22⋊D59—44no—
669C22⋊D59—44no—
670C22⋊D59—82no—
671C22⋊D59—82no—
672C2×Dic59—21no—
673C2×Dic59—21no—
674C2×Dic59—21no—
675C2×Dic59—21no—
676C2×Dic59—21no—
677C2×Dic59—21no—
678C2×Dic59—21no—
679C2×Dic59—21no—
680C2×Dic59—21no—
681C2×Dic59—21no—
682C2×Dic59—21no—
683C2×Dic59—21no—
684C2×Dic59—21no—
685C2×Dic59—21no—
686C2×Dic59—21no—
687C2×Dic59—21no—
688C2×Dic59—21no—
689C2×Dic59—21no—
690C2×Dic59—21no—
691C2×Dic59—21no—
692C2×Dic59—21no—
693C2×Dic59—21no—
694C2×Dic59—21no—
695C2×Dic59—21no—
696C2×Dic59—21no—
697C2×Dic59—21no—
698C2×Dic59—21no—
699C2×Dic59—21no—
700C2×Dic59—21no—
701C2×Dic59—21no—
702C2×Dic59—21no—
703C2×Dic59—21no—
704C2×Dic59—21no—
705C2×Dic59—44no—
706C2×Dic59C2×#4112yes—
707C2×Dic59C2×#4112yes—
708C2×Dic59H(5,𝔽2)12yes—
709D236—44no—
710D236—44no—
711D236—44no—
712D236—44no—
713D236—82no—
714C4×D59—44no—
715C4×D59—44no—
716C4×D59—44no—
717C4×D59—44no—
718C4×D59—82no—
719C4×D59—82no—
720Dic118—44no—
721#60033—591nomaximal, Sylow
722C22×C59—22no—
723C22×C59—22no—
724C22×C59—22no—
725C22×C59—22no—
726C22×C59—22no—
727C22×C59—22no—
728C22×C59—41no—
729C22×C59—41no—
730C22×C59—41no—
731C22×C59—41no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59C22×#4111yescharacteristic
737C22×C59C22×#4111yescharacteristic
738C22×C59C22×#4111yescharacteristic
739C22×C59C2×H(5,𝔽2)11yescharacteristic
740C22×C59C2×H(5,𝔽2)11yescharacteristic
741C22×C59C2×H(5,𝔽2)11yescharacteristic
742C22×C59#58511yescharacteristic
743C2×D59—22no—
744C2×D59—22no—
745C2×D59—22no—
746C2×D59—22no—
747C2×D59—22no—
748C2×D59—22no—
749C2×D59—416no—
750C2×D59—41no—
751C2×D59—41no—
752C2×D59—41no—
753C2×D59—41no—
754C2×D59—41no—
755C2×D59—41no—
756C2×D59—41no—
757C2×D59—41no—
758C2×D59—41no—
759C2×D59—41no—
760C2×D59—41no—
761C2×D59—41no—
762C2×D59—41no—
763C2×D59—41no—
764C2×D59—41no—
765C2×D59—41no—
766C2×D59—41no—
767C2×D59—41no—
768C2×D59—41no—
769C2×D59—41no—
770C2×D59—41no—
771C2×D59—41no—
772C4×C59—22no—
773C4×C59—22no—
774C4×C59—22no—
775C4×C59—22no—
776C4×C59—22no—
777C4×C59—41no—
778C4×C59—41no—
779C4×C59—41no—
780C4×C59—41no—
781C4×C59—41no—
782C4×C59—41no—
783C4×C59—41no—
784C4×C59—41no—
785Dic59—22no—
786Dic59—22no—
787Dic59—22no—
788Dic59—41no—
789Dic59—41no—
790Dic59—41no—
791Dic59—41no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795Dic59—41no—
796Dic59—41no—
797#2735—591no—
798#2678—591no—
799#2678—591no—
800#2670—591no—
801#2602—591no—
802#2602—591no—
803#2598—591no—
804#2598—591no—
805#2597—591no—
806#2597—591no—
807#2587—591no—
808#2587—591no—
809#2580—591no—
810#2557—591no—
811#2557—591no—
812#2543—591no—
813#2523—591no—
814#2518—591no—
815#2518—591no—
816#2456—591no—
817#2456—591no—
818#2455—591no—
819#2367—591no—
820#2367—591no—
821#2363—591no—
822#2363—591no—
823#2359—591no—
824#2359D5911yescharacteristic, complemented
825C4×#120—591no—
826C4×#120—591no—
827C4×#120—591no—
828C2×C59—42no—
829C2×C59—42no—
830C2×C59#348111yescharacteristic
831C2×C59#348111yescharacteristic
832C2×C59#348111yescharacteristic
833C2×C59#350511yescharacteristic
834C2×C59#350611yescharacteristic
835C2×C59#350611yescharacteristic
836C2×C59#353211yescharacteristic
837D59—42no—
838D59—42no—
839D59—81no—
840D59—81no—
841C24×C4—591no—
842C2×#124—591no—
843C2×#124—591no—
844C2×#123—591no—
845C2×#123—591no—
846C2×#123—591no—
847C2×#123C2×D5911yescharacteristic
848C2×#121—591no—
849C2×#121—591no—
850C2×#121—591no—
851C2×#120—591no—
852C2×#120—591no—
853C2×#120—591no—
854C2×C4×Q8—591no—
855C2×C4×D4—591no—
856C2×C4×D4—591no—
857C2×C4×D4—591no—
858C2×C4×D4—591no—
859C2×C4×D4—591no—
860C2×C4×D4—591no—
861C2×C4×D4—591no—
862C2×C4×D4—591no—
863C2×C4×D4C2×D5911yescharacteristic
864C2×#117—591no—
865C2×#117C2×D5911yescharacteristic, complemented
866#400—591no—
867#400—591no—
868#399—591no—
869#399—591no—
870#398—591no—
871#397—591no—
872#397—591no—
873#397—591no—
874#397—591no—
875#397—591no—
876#397—591no—
877#397—591no—
878#396—591no—
879#396—591no—
880#396—591no—
881#396—591no—
882#394—591no—
883#394—591no—
884#394—591no—
885#394—591no—
886#394—591no—
887#394—591no—
888#394—591no—
889#393—591no—
890#393—591no—
891#392—591no—
892#392—591no—
893#392—591no—
894#392—591no—
895#392—591no—
896#392—591no—
897#392—591no—
898#391—591no—
899#391—591no—
900#390—591no—
901#390—591no—
902#390—591no—
903#390—591no—
904#390—591no—
905#390—591no—
906#390—591no—
907#390—591no—
908#389—591no—
909#389—591no—
910#389—591no—
911#389—591no—
912#389—591no—
913#389C2×D5911yescharacteristic, complemented
914#388—591no—
915#388—591no—
916#388—591no—
917#388—591no—
918#388—591no—
919#388—591no—
920#388—591no—
921#388—591no—
922#388—591no—
923#388—591no—
924#388—591no—
925#388—591no—
926#388—591no—
927#388—591no—
928#388—591no—
929#388—591no—
930#388—591no—
931#388—591no—
932#388—591no—
933#388—591no—
934#388C2×D5911yescharacteristic
935#388C2×D5911yescharacteristic
936#387—591no—
937#387—591no—
938#387—591no—
939#387—591no—
940#387—591no—
941#387—591no—
942#387C2×D5911yescharacteristic, complemented
943#387C2×D5911yescharacteristic, complemented
944#386—591no—
945#386—591no—
946#386—591no—
947#386—591no—
948#386—591no—
949#386—591no—
950#386—591no—
951#386—591no—
952#386—591no—
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#386—591no—
958#386C2×D5911yescharacteristic
959#385—591no—
960#385—591no—
961#385—591no—
962#385—591no—
963#385—591no—
964#385—591no—
965#385—591no—
966#385—591no—
967#385—591no—
968#385—591no—
969#385—591no—
970#385C2×D5911yescharacteristic
971#385C2×D5911yescharacteristic, complemented
972#383—591no—
973#383—591no—
974#382—591no—
975#379—591no—
976#379—591no—
977#379—591no—
978C4×C4⋊C4—591no—
979C4×C4⋊C4—591no—
980C4×C4⋊C4—591no—
981C4×C4⋊C4C2×D5911yescharacteristic, complemented
982C4×C22⋊C4—591no—
983C4×C22⋊C4—591no—
984C4×C22⋊C4—591no—
985C4×C22⋊C4—591no—
986C4×C22⋊C4—591no—
987C4×C22⋊C4—591no—
988C4×C22⋊C4—591no—
989C4×C22⋊C4—591no—
990C4×C22⋊C4—591no—
991C4×C22⋊C4—591no—
992C4×C22⋊C4—591no—
993C4×C22⋊C4C2×D5911yescharacteristic
994C4×C22⋊C4C2×D5911yescharacteristic, complemented
995C2×#95C2×D5911yescharacteristic, complemented
996C59#6003311yescharacteristic, complemented, Sylow
997C25—591no—
998C22×Q8—591no—
999C22×D4—591no—
1000C22×D4—591no—
1001C22×D4—591no—
1002C22×D4—591no—
1003C22×D4—591no—
1004C22×D4—591no—
1005C22×D4—591no—
1006C22×D4—591no—
1007C22×D4—591no—
1008C22×D4—591no—
1009C22×D4—591no—
1010C22×D4C22×D5911yescharacteristic
1011C23×C4—591no—
1012C23×C4—591no—
1013C23×C4—591no—
1014C23×C4—591no—
1015C23×C4—591no—
1016C23×C4—591no—
1017C23×C4—591no—
1018C23×C4—2362no—
1019C23×C4—2362no—
1020C23×C4—2362no—
1021C23×C4C22×D5911yescharacteristic
1022C23×C4C22×D5911yescharacteristic
1023C23×C4C22×D5911yescharacteristic
1024C23×C4C22×D5911yescharacteristic
1025#124—1184no—
1026#124—1184no—
1027#123—24no—
1028#123—1184no—
1029#123—2362no—
1030#123—2362no—
1031#121—1184no—
1032#121—1184no—
1033#121—2362no—
1034#120—1184no—
1035#120—1184no—
1036#120—1184no—
1037C4×Q8—2362no—
1038C4×D4—42no—
1039C4×D4—2362no—
1040C4×D4—2362no—
1041C4×D4—2362no—
1042C4×D4—2362no—
1043C4×D4—2362no—
1044C4×D4—2362no—
1045C4×D4—2362no—
1046C4×D4—2362no—
1047#117—42no—
1048#117—2362no—
1049C2×C4⋊C4—591no—
1050C2×C4⋊C4—591no—
1051C2×C4⋊C4—591no—
1052C2×C4⋊C4—591no—
1053C2×C4⋊C4—591no—
1054C2×C4⋊C4—591no—
1055C2×C4⋊C4—591no—
1056C2×C4⋊C4—591no—
1057C2×C4⋊C4—591no—
1058C2×C4⋊C4—591no—
1059C2×C4⋊C4—591no—
1060C2×C4⋊C4—591no—
1061C2×C4⋊C4—591no—
1062C2×C4⋊C4—591no—
1063C2×C4⋊C4—591no—
1064C2×C4⋊C4—591no—
1065C2×C4⋊C4—591no—
1066C2×C4⋊C4—591no—
1067C2×C4⋊C4C22×D5911yescharacteristic
1068C2×C4⋊C4C22×D5911yescharacteristic
1069C2×C4⋊C4C22×D5911yescharacteristic
1070C2×C4⋊C4C22×D5911yescharacteristic
1071C2×C4⋊C4C22×D5911yescharacteristic
1072C2×C4⋊C4C22×D5911yescharacteristic
1073C2×C4⋊C4C22×D5911yescharacteristic
1074C2×C22⋊C4—591no—
1075C2×C22⋊C4—591no—
1076C2×C22⋊C4—591no—
1077C2×C22⋊C4—591no—
1078C2×C22⋊C4—591no—
1079C2×C22⋊C4—591no—
1080C2×C22⋊C4—591no—
1081C2×C22⋊C4—591no—
1082C2×C22⋊C4—591no—
1083C2×C22⋊C4—591no—
1084C2×C22⋊C4—591no—
1085C2×C22⋊C4—591no—
1086C2×C22⋊C4—591no—
1087C2×C22⋊C4—591no—
1088C2×C22⋊C4—591no—
1089C2×C22⋊C4—591no—
1090C2×C22⋊C4—591no—
1091C2×C22⋊C4—591no—
1092C2×C22⋊C4—591no—
1093C2×C22⋊C4—591no—
1094C2×C22⋊C4—591no—
1095C2×C22⋊C4—591no—
1096C2×C22⋊C4—591no—
1097C2×C22⋊C4—591no—
1098C2×C22⋊C4—591no—
1099C2×C22⋊C4—591no—
1100C2×C22⋊C4—591no—
1101C2×C22⋊C4—591no—
1102C2×C22⋊C4—591no—
1103C2×C22⋊C4—591no—
1104C2×C22⋊C4—591no—
1105C2×C22⋊C4—591no—
1106C2×C22⋊C4—591no—
1107C2×C22⋊C4—591no—
1108C2×C22⋊C4—591no—
1109C2×C22⋊C4—591no—
1110C2×C22⋊C4—591no—
1111C2×C22⋊C4—591no—
1112C2×C22⋊C4—591no—
1113C2×C22⋊C4—591no—
1114C2×C22⋊C4—591no—
1115C2×C22⋊C4—591no—
1116C2×C22⋊C4—591no—
1117C2×C22⋊C4—591no—
1118C2×C22⋊C4C22×D5911yescharacteristic
1119C2×C22⋊C4C22×D5911yescharacteristic
1120C2×C22⋊C4C22×D5911yescharacteristic
1121C2×C22⋊C4C22×D5911yescharacteristic
1122C2×C22⋊C4C22×D5911yescharacteristic
1123C2×C22⋊C4C22×D5911yescharacteristic
1124C2×C22⋊C4C22×D5911yescharacteristic
1125C2×C22⋊C4C22×D5911yescharacteristic
1126C2×C42—591no—
1127C2×C42—591no—
1128C2×C42—591no—
1129C2×C42—591no—
1130C2×C42—591no—
1131C2×C42—591no—
1132C2×C42—591no—
1133C2×C42—591no—
1134C2×C42—591no—
1135C2×C42—591no—
1136C2×C42C22×D5911yescharacteristic
1137C2×C42C22×D5911yescharacteristic
1138C2×C42C22×D5911yescharacteristic
1139C2×C42C22×D5911yescharacteristic
1140C2×C42C22×D5911yescharacteristic
1141#95—591no—
1142#95—591no—
1143#95—591no—
1144#95—591no—
1145#95—591no—
1146#95—591no—
1147#95—591no—
1148#95—591no—
1149#95—591no—
1150#95—591no—
1151#95—591no—
1152#95—591no—
1153#95—591no—
1154#95—591no—
1155#95—591no—
1156#95—591no—
1157#95—591no—
1158#95—591no—
1159#95—591no—
1160#95—591no—
1161#95—591no—
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95—591no—
1166#95—591no—
1167#95—591no—
1168#95—591no—
1169#95C22×D5911yescharacteristic
1170#95C22×D5911yescharacteristic
1171#95C22×D5911yescharacteristic
1172#95C22×D5911yescharacteristic
1173#95C22×D5911yescharacteristic
1174#95C22×D5911yescharacteristic
1175#95C22×D5911yescharacteristic
1176#95C22×D5911yescharacteristic
1177#95C22×D5911yescharacteristic
1178#95C22×D5911yescharacteristic
1179C24—591no—
1180C24—591no—
1181C24—591no—
1182C24—591no—
1183C24—1182no—
1184C24—1182no—
1185C24—1182no—
1186C24—2361no—
1187C24—2361no—
1188C24—2361no—
1189C24—2361no—
1190C24C23×D5911yescharacteristic
1191C24C23×D5911yescharacteristic
1192C2×Q8—1182no—
1193C2×Q8—1182no—
1194C2×Q8—2361no—
1195C2×D4—22no—
1196C2×D4—22no—
1197C2×D4—41no—
1198C2×D4—594no—
1199C2×D4—1182no—
1200C2×D4—1182no—
1201C2×D4—1182no—
1202C2×D4—1182no—
1203C2×D4—1182no—
1204C2×D4—1182no—
1205C2×D4—1182no—
1206C2×D4—1182no—
1207C2×D4—1182no—
1208C2×D4—1182no—
1209C2×D4—1182no—
1210C2×D4—1182no—
1211C2×D4—1182no—
1212C2×D4—1182no—
1213C2×D4—2361no—
1214C2×D4—2361no—
1215C2×D4—2361no—
1216C2×D4—2361no—
1217C2×D4—2361no—
1218C2×D4—2361no—
1219C2×D4—2361no—
1220C2×D4—2361no—
1221C2×D4—2361no—
1222C2×D4—2361no—
1223C2×D4—2361no—
1224C2×D4—2361no—
1225C2×D4—2361no—
1226C2×D4—2361no—
1227C2×D4—2361no—
1228C2×D4—2361no—
1229C2×D4—2361no—
1230C2×D4—2361no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—41no—
1239C22×C4—41no—
1240C22×C4—41no—
1241C22×C4—41no—
1242C22×C4—41no—
1243C22×C4—591no—
1244C22×C4—591no—
1245C22×C4—591no—
1246C22×C4—591no—
1247C22×C4—591no—
1248C22×C4—591no—
1249C22×C4—591no—
1250C22×C4—591no—
1251C22×C4—591no—
1252C22×C4—591no—
1253C22×C4—591no—
1254C22×C4—591no—
1255C22×C4—1182no—
1256C22×C4—1182no—
1257C22×C4—1182no—
1258C22×C4—1182no—
1259C22×C4—1182no—
1260C22×C4—1182no—
1261C22×C4—1182no—
1262C22×C4—1182no—
1263C22×C4—1182no—
1264C22×C4—2361no—
1265C22×C4—2361no—
1266C22×C4—2361no—
1267C22×C4—2361no—
1268C22×C4—2361no—
1269C22×C4—2361no—
1270C22×C4—2361no—
1271C22×C4—2361no—
1272C22×C4—2361no—
1273C22×C4—2361no—
1274C22×C4—23616no—
1275C22×C4—2361no—
1276C22×C4—2361no—
1277C22×C4C23×D5911yescharacteristic
1278C22×C4C23×D5911yescharacteristic
1279C22×C4C23×D5911yescharacteristic
1280C22×C4C23×D5911yescharacteristic
1281C22×C4C23×D5911yescharacteristic
1282C22×C4C23×D5911yescharacteristic
1283C22×C4C23×D5911yescharacteristic
1284C22×C4C23×D5911yescharacteristic
1285C22×C4C23×D5911yescharacteristic
1286C22×C4C23×D5911yescharacteristic
1287C22×C4C23×D5911yescharacteristic
1288C22×C4C23×D5911yescharacteristic
1289C22×C4C23×D5911yescharacteristic
1290C4⋊C4—22no—
1291C4⋊C4—22no—
1292C4⋊C4—22no—
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—41no—
1296C4⋊C4—41no—
1297C4⋊C4—1182no—
1298C4⋊C4—1182no—
1299C4⋊C4—1182no—
1300C4⋊C4—1182no—
1301C4⋊C4—1182no—
1302C4⋊C4—1182no—
1303C4⋊C4—1182no—
1304C4⋊C4—2361no—
1305C4⋊C4—2361no—
1306C4⋊C4—2361no—
1307C4⋊C4—2361no—
1308C4⋊C4—2361no—
1309C4⋊C4—2361no—
1310C4⋊C4—2361no—
1311C4⋊C4—2361no—
1312C4⋊C4—2361no—
1313C4⋊C4—2361no—
1314C4⋊C4—2361no—
1315C22⋊C4—22no—
1316C22⋊C4—22no—
1317C22⋊C4—22no—
1318C22⋊C4—22no—
1319C22⋊C4—41no—
1320C22⋊C4—41no—
1321C22⋊C4—41no—
1322C22⋊C4—594no—
1323C22⋊C4—1182no—
1324C22⋊C4—1182no—
1325C22⋊C4—1182no—
1326C22⋊C4—1182no—
1327C22⋊C4—1182no—
1328C22⋊C4—1182no—
1329C22⋊C4—1182no—
1330C22⋊C4—1182no—
1331C22⋊C4—1182no—
1332C22⋊C4—1182no—
1333C22⋊C4—1182no—
1334C22⋊C4—1182no—
1335C22⋊C4—1182no—
1336C22⋊C4—1182no—
1337C22⋊C4—1182no—
1338C22⋊C4—1182no—
1339C22⋊C4—1182no—
1340C22⋊C4—1182no—
1341C22⋊C4—1182no—
1342C22⋊C4—1182no—
1343C22⋊C4—1182no—
1344C22⋊C4—1182no—
1345C22⋊C4—1182no—
1346C22⋊C4—2361no—
1347C22⋊C4—2361no—
1348C22⋊C4—2361no—
1349C22⋊C4—2361no—
1350C22⋊C4—2361no—
1351C22⋊C4—2361no—
1352C22⋊C4—2361no—
1353C22⋊C4—2361no—
1354C22⋊C4—2361no—
1355C22⋊C4—2361no—
1356C22⋊C4—2361no—
1357C22⋊C4—2361no—
1358C22⋊C4—2361no—
1359C22⋊C4—2361no—
1360C22⋊C4—2361no—
1361C22⋊C4—2361no—
1362C22⋊C4—2361no—
1363C22⋊C4—2361no—
1364C22⋊C4—2361no—
1365C22⋊C4—2361no—
1366C22⋊C4#1174568514yes—
1367C42—22no—
1368C42—22no—
1369C42—41no—
1370C42—41no—
1371C42—41no—
1372C42—1182no—
1373C42—1182no—
1374C42—1182no—
1375C42—2361no—
1376C42—2361no—
1377C42—2361no—
1378C42—2361no—
1379C42—2361no—
1380C42—2361no—
1381C42—2361no—
1382C23—21no—
1383C23—21no—
1384C23—21no—
1385C23—21no—
1386C23—21no—
1387C23—21no—
1388C23—21no—
1389C23—21no—
1390C23—21no—
1391C23—21no—
1392C23—21no—
1393C23—21no—
1394C23—592no—
1395C23—592no—
1396C23—1181no—
1397C23—1181no—
1398C23—1181no—
1399C23—1181no—
1400C23—1181no—
1401C23—1181no—
1402C23—1181no—
1403C23—1181no—
1404C23—1181no—
1405C23—1181no—
1406C23—1181no—
1407C23—1181no—
1408C23—1181no—
1409C23—1181no—
1410C23—1181no—
1411C23—1181no—
1412C23—1181no—
1413C23—1181no—
1414C23—1181no—
1415C23—1181no—
1416C23—1181no—
1417C23—1181no—
1418C23—1181no—
1419C23—1181no—
1420C23—1181no—
1421C23—1181no—
1422C23—2364no—
1423C23—2364no—
1424C23—2364no—
1425C23—2364no—
1426C23—2364no—
1427C23—2364no—
1428C23—2364no—
1429C23#41×D5912yes—
1430C23C2×#1174568512yes—
1431C23C24×D5911yescharacteristic
1432Q8—2364no—
1433D4—44no—
1434D4—4722no—
1435D4—4722no—
1436D4—4722no—
1437D4—2364no—
1438D4—2364no—
1439D4—2364no—
1440D4—2364no—
1441D4—2364no—
1442D4—2364no—
1443D4—2364no—
1444D4—2364no—
1445C2×C4—21no—
1446C2×C4—21no—
1447C2×C4—21no—
1448C2×C4—21no—
1449C2×C4—21no—
1450C2×C4—21no—
1451C2×C4—21no—
1452C2×C4—21no—
1453C2×C4—21no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—21no—
1457C2×C4—21no—
1458C2×C4—21no—
1459C2×C4—21no—
1460C2×C4—21no—
1461C2×C4—21no—
1462C2×C4—21no—
1463C2×C4—21no—
1464C2×C4—21no—
1465C2×C4—21no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—21no—
1469C2×C4—21no—
1470C2×C4—21no—
1471C2×C4—21no—
1472C2×C4—21no—
1473C2×C4—21no—
1474C2×C4—21no—
1475C2×C4—21no—
1476C2×C4—21no—
1477C2×C4—21no—
1478C2×C4—21no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—44no—
1482C2×C4—82no—
1483C2×C4—592no—
1484C2×C4—592no—
1485C2×C4—592no—
1486C2×C4—1181no—
1487C2×C4—1181no—
1488C2×C4—1181no—
1489C2×C4—1181no—
1490C2×C4—1181no—
1491C2×C4—1181no—
1492C2×C4—1181no—
1493C2×C4—1181no—
1494C2×C4—1181no—
1495C2×C4—1181no—
1496C2×C4—1181no—
1497C2×C4—1181no—
1498C2×C4—1181no—
1499C2×C4—1181no—
1500C2×C4—1181no—
1501C2×C4—1181no—
1502C2×C4—1181no—
1503C2×C4—1181no—
1504C2×C4—1181no—
1505C2×C4—1181no—
1506C2×C4—1181no—
1507C2×C4—1181no—
1508C2×C4—1181no—
1509C2×C4—1181no—
1510C2×C4—1181no—
1511C2×C4—1181no—
1512C2×C4—1181no—
1513C2×C4—1181no—
1514C2×C4—1181no—
1515C2×C4—1181no—
1516C2×C4—1181no—
1517C2×C4—1181no—
1518C2×C4—1181no—
1519C2×C4—4722no—
1520C2×C4—4722no—
1521C2×C4—2364no—
1522C2×C4—2364no—
1523C2×C4—2364no—
1524C2×C4—2364no—
1525C2×C4—2364no—
1526C2×C4#41×D5912yes—
1527C2×C4C2×#1174568512yes—
1528C2×C4C2×#1174568512yes—
1529C2×C4#1427377212yes—
1530C2×C4#1427377312yes—
1531C22—22no—
1532C22—22no—
1533C22—22no—
1534C22—22no—
1535C22—22no—
1536C22—22no—
1537C22—41no—
1538C22—41no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—1182no—
1546C22—1182no—
1547C22—1182no—
1548C22—1182no—
1549C22—1182no—
1550C22—1182no—
1551C22—23616no—
1552C22—2361no—
1553C22—2361no—
1554C22—2361no—
1555C22—2361no—
1556C22—2361no—
1557C22—2361no—
1558C22—2361no—
1559C22—2361no—
1560C22—2361no—
1561C22—2361no—
1562C22—2361no—
1563C22—2361no—
1564C22—2361no—
1565C22—2361no—
1566C22—2361no—
1567C22—2361no—
1568C22—2361no—
1569C22—2361no—
1570C22—2361no—
1571C22—2361no—
1572C22—2361no—
1573C22—2361no—
1574C22C2×#41×D5911yescharacteristic
1575C22C2×#41×D5911yescharacteristic
1576C22C22×#1174568511yescharacteristic
1577C22H(5,𝔽2)×D5911yescharacteristic
1578C22C2×#1427377211yescharacteristic
1579C22C2×#1427377311yescharacteristic
1580C22#1683823911yescharacteristic
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—22no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—41no—
1593C4—41no—
1594C4—1182no—
1595C4—1182no—
1596C4—1182no—
1597C4—2361no—
1598C4—2361no—
1599C4—2361no—
1600C4—2361no—
1601C4—2361no—
1602C4—2361no—
1603C4—2361no—
1604C4—2361no—
1605C4—2361no—
1606C2—42no—
1607C2—42no—
1608C2—4721no—
1609C2—4721no—
1610C2—2362no—
1611C2—2362no—
1612C2#2143769911yescharacteristic
1613C2#2143770011yescharacteristic
1614C2#2143770611yescharacteristic
1615C2#2143793611yescharacteristic
1616C2#2143794111yescharacteristic
1617C2#2143794611yescharacteristic
1618C2#2143824511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2359C2
hypercenter#2359D59
hypocenterC59#60033
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2359

Complements

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

NH ≅ G/Ntype
1. #21431132C2semidirect
2. #21430422C2semidirect
3. #21430415C2semidirect
4. #21430320C2semidirect
5. #21429713C2semidirect
6. #21429706C2semidirect
7. #21429662C2semidirect
8. #21429658C2semidirect
9. #21429654C2semidirect
10. #21429647C2semidirect
11. #21429522C2semidirect
12. #21429513C2semidirect
13. #21429453C2semidirect
14. #21429195C2semidirect
15. #21429191C2semidirect
16. #21429056C2semidirect
17. #21428830C2semidirect
18. #21428760C2semidirect
19. #21428748C2semidirect
20. #21427995C2semidirect
21. #21427982C2semidirect
22. #21427980C2semidirect
23. #21427167C2semidirect
24. #21427164C2semidirect
25. #21427134C2semidirect
26. #21427132C2semidirect
27. #21427084C2semidirect
28. C4×#14273697C2semidirect
29. #21426597C2semidirect
30. C4×#14273695C2semidirect
31. C59×#2359C2semidirect
35. C2×#14273712C22semidirect
36. C2×#14273712C22semidirect
40. C2×#14273701C22semidirect
44. C2×#14273692C22semidirect
53. C2×#14273686C22semidirect
54. #16837344C22semidirect
55. #16837341C22semidirect
56. #16837338C22semidirect
58. #16837334C22semidirect
61. #16837331C22semidirect
65. #16837328C22semidirect
72. #16837320C22semidirect
78. #16837314C22semidirect
86. #16837307C22semidirect
87. #16837306C22semidirect
94. #16837302C22semidirect
95. #16837302C22semidirect
96. #16837300C22semidirect
97. #16837299C22semidirect
98. #16837299C22semidirect
99. #16837298C22semidirect
100. #16837297C22semidirect
104. #16837294C22semidirect
105. #16837294C22semidirect
106. #16837294C22semidirect
109. #16837293C22semidirect
110. #16837293C22semidirect
111. #16837293C22semidirect
112. #16837293C22semidirect
113. #16837293C22semidirect
114. #16837292C22semidirect
115. #16837292C22semidirect
118. #16837291C22semidirect
119. #16837291C22semidirect
121. #16837289C22semidirect
122. #16837289C22semidirect
123. #16837288C22semidirect
124. #16837286C22semidirect
125. #16837284C22semidirect
126. #16837283C22semidirect
130. #16837281C22semidirect
131. #16837281C22semidirect
139. #16837278C22semidirect
140. #16837278C22semidirect
144. #16837276C22semidirect
145. #16837275C22semidirect
151. #16837273C22semidirect
152. #16837270C22semidirect
153. #16837269C22semidirect
154. #16837266C22semidirect
158. C4⋊C4×Dic59C22semidirect
159. C4×C4⋊Dic59C22semidirect
160. #16837253C22semidirect
166. C4×(C2×D59)⋊C4C22semidirect
168. C4×C22⋊Dic59C22semidirect
171. #16837249C22semidirect
174. C2×#117×C59C22semidirect
175. C59×#389C22semidirect
178. C59×#387C22semidirect
179. C59×#387C22semidirect
182. C59×#385C22semidirect
183. C4×C4⋊C4×C59C22semidirect
185. C4×C22⋊C4×C59C22semidirect
186. C2×#95×C59C22semidirect
824. #2359D59semidirect
865. C2×#117C2×D59semidirect
913. #389C2×D59semidirect
942. #387C2×D59semidirect
943. #387C2×D59semidirect
971. #385C2×D59semidirect
981. C4×C4⋊C4C2×D59semidirect
994. C4×C22⋊C4C2×D59semidirect
995. C2×#95C2×D59semidirect
996. C59#60033semidirect

Maximal subgroups

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

subgroupindex
#214311322
#214304222
#214304152
#214303202
#214297132
#214297062
#214296622
#214296582
#214296542
#214296472
#214295222
#214295132
#214294532
#214291952
#214291912
#214290562
#214288302
#214287602
#214287482
#214279952
#214279822
#214279802
#214271672
#214271642
#214271342
#214271322
#214270842
C4×#142736972
#214265972
C4×#142736952
C59×#23592
#6003359