Finite Group Databasebeta

← #28759670

Subgroups — #28759670

Order 15104.

2646 conjugacy classes of subgroups.

The subgroup lattice has 1618 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837935C211yesmaximal, characteristic, complemented
2C2×#117×D59C211yesmaximal, characteristic, complemented
3#21429792C211yesmaximal, characteristic, complemented
4#21429790C211yesmaximal, characteristic, complemented
5#21429781C211yesmaximal, characteristic, complemented
6#21429779C211yesmaximal, characteristic, complemented
7#21429695C211yesmaximal, characteristic, complemented
8#21429693C211yesmaximal, characteristic, complemented
9#21429687C211yesmaximal, characteristic, complemented
10#21429574C211yesmaximal, characteristic, complemented
11#21429474C211yesmaximal, characteristic, complemented
12#21429252C211yesmaximal, characteristic, complemented
13#21429025C211yesmaximal, characteristic
14#21427498C211yesmaximal, characteristic, complemented
15#21427496C211yesmaximal, characteristic, complemented
16#21427476C211yesmaximal, characteristic, complemented
17#21427474C211yesmaximal, characteristic, complemented
18#21427373C211yesmaximal, characteristic, complemented
19#21427371C211yesmaximal, characteristic, complemented
20#21427341C211yesmaximal, characteristic, complemented
21#21427339C211yesmaximal, characteristic, complemented
22#21426623C211yesmaximal, characteristic, complemented
23#21426617C211yesmaximal, characteristic, complemented
24#21426601C211yesmaximal, characteristic, complemented
25#21426597C211yesmaximal, characteristic, complemented
26#21426558C211yesmaximal, characteristic, complemented
27#21426556C211yesmaximal, characteristic, complemented
28#21426556C211yesmaximal, characteristic, complemented
29#21426554C211yesmaximal, characteristic, complemented
30C4×#14273685C211yesmaximal, characteristic, complemented
31C59×#2601C211yesmaximal, characteristic, complemented
32C23×C4×D59C2211yescharacteristic
33#16837935—28no—
34C2×#14273721C2211yescharacteristic, complemented
35C2×#14273717C2211yescharacteristic, complemented
36C2×#14273713C2211yescharacteristic, complemented
37C2×#14273712C2211yescharacteristic
38C2×#14273712C2211yescharacteristic
39C2×#14273709C2211yescharacteristic
40C2×#14273709C2211yescharacteristic
41C2×#14273705C2211yescharacteristic
42C2×#14273700C2211yescharacteristic
43C2×#14273697C2211yescharacteristic
44C2×#14273695C2211yescharacteristic
45C2×#14273692C2211yescharacteristic, complemented
46C2×D4×Dic59C2211yescharacteristic
47C2×#14273689C2211yescharacteristic
48C2×#14273689C2211yescharacteristic
49C2×(C22⋊D59)⋊C4C2211yescharacteristic
50C2×(C22⋊D59)⋊C4C2211yescharacteristic
51C2×(C22⋊D59)⋊C4C2211yescharacteristic
52C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
53C2×#14273686C2211yescharacteristic
54C2×#14273685C2211yescharacteristic
55C2×#14273685C2211yescharacteristic
56C2×#14273685C2211yescharacteristic
57C2×#14273685C2211yescharacteristic
58C2×#14273685C2211yescharacteristic, complemented
59C2×#14273684C2211yescharacteristic
60C2×#14273684C2211yescharacteristic
61C2×#14273683C2211yescharacteristic
62C2×#14273683C2211yescharacteristic
63C2×#14273683C2211yescharacteristic, complemented
64#117×D59—28no—
65C2×C4⋊C4×D59C2211yescharacteristic
66C2×C4⋊C4×D59C2211yescharacteristic
67C2×C22⋊C4×D59C2211yescharacteristic
68C2×C22⋊C4×D59C2211yescharacteristic
69C2×C42×D59C2211yescharacteristic
70C2×C42×D59C2211yescharacteristic
71#16837344C2211yescharacteristic, complemented
72#16837343C2211yescharacteristic, complemented
73#16837338C2211yescharacteristic
74#16837337C2211yescharacteristic
75#16837336C2211yescharacteristic, complemented
76#16837335C2211yescharacteristic, complemented
77#16837335C2211yescharacteristic, complemented
78#16837335C2211yescharacteristic, complemented
79#16837332C2211yescharacteristic, complemented
80#16837331C2211yescharacteristic
81#16837330C2211yescharacteristic
82#16837325C2211yescharacteristic
83#16837325C2211yescharacteristic, complemented
84#16837324C2211yescharacteristic
85#16837324C2211yescharacteristic
86#16837324C2211yescharacteristic, complemented
87#16837324C2211yescharacteristic, complemented
88#16837323C2211yescharacteristic, complemented
89#16837322C2211yescharacteristic, complemented
90#16837319C2211yescharacteristic
91#16837318C2211yescharacteristic
92#16837318C2211yescharacteristic
93#16837318C2211yescharacteristic, complemented
94#16837317C2211yescharacteristic, complemented
95#16837315C2211yescharacteristic
96#16837314C2211yescharacteristic
97#16837311C2211yescharacteristic
98#16837310C2211yescharacteristic
99#16837305C2211yescharacteristic
100#16837304C2211yescharacteristic
101#16837303C2211yescharacteristic
102#16837302C2211yescharacteristic
103#16837302C2211yescharacteristic
104#16837302C2211yescharacteristic
105#16837302C2211yescharacteristic
106#16837301C2211yescharacteristic, complemented
107#16837300C2211yescharacteristic, complemented
108#16837299C2211yescharacteristic, complemented
109#16837299C2211yescharacteristic, complemented
110#16837298C2211yescharacteristic, complemented
111#16837297C2211yescharacteristic, complemented
112#16837297C2211yescharacteristic, complemented
113#16837296C2211yescharacteristic
114#16837296C2211yescharacteristic, complemented
115#16837295C2211yescharacteristic
116#16837295C2211yescharacteristic, complemented
117#16837294C2211yescharacteristic
118#16837294C2211yescharacteristic, complemented
119#16837294C2211yescharacteristic, complemented
120#16837293C2211yescharacteristic
121#16837293C2211yescharacteristic, complemented
122#16837293C2211yescharacteristic, complemented
123#16837292C2211yescharacteristic
124#16837292C2211yescharacteristic, complemented
125#16837291C2211yescharacteristic
126#16837291C2211yescharacteristic, complemented
127#16837290C2211yescharacteristic
128#16837290C2211yescharacteristic, complemented
129#16837290C2211yescharacteristic, complemented
130#16837287C2211yescharacteristic, complemented
131#16837286C2211yescharacteristic, complemented
132#16837283C2211yescharacteristic, complemented
133#16837281C2211yescharacteristic
134#16837280C2211yescharacteristic
135#16837280C2211yescharacteristic
136#16837280C2211yescharacteristic
137#16837278C2211yescharacteristic
138#16837278C2211yescharacteristic
139#16837278C2211yescharacteristic
140#16837276C2211yescharacteristic
141#16837276C2211yescharacteristic
142#16837276C2211yescharacteristic
143#16837275C2211yescharacteristic
144#16837273C2211yescharacteristic
145#16837273C2211yescharacteristic
146#16837273C2211yescharacteristic
147#16837264C2211yescharacteristic
148#16837264C2211yescharacteristic
149#16837257C2211yescharacteristic
150#16837257C2211yescharacteristic
151C4⋊C4×Dic59C2211yescharacteristic, complemented
152C4⋊C4×Dic59C2211yescharacteristic, complemented
153C4⋊C4×Dic59C2211yescharacteristic, complemented
154C4⋊C4×Dic59C2211yescharacteristic, complemented
155C4×C4⋊Dic59C2211yescharacteristic, complemented
156#16837253C2211yescharacteristic, complemented
157#16837253C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic
159C22⋊C4×Dic59C2211yescharacteristic
160C22⋊C4×Dic59C2211yescharacteristic, complemented
161C22⋊C4×Dic59C2211yescharacteristic, complemented
162C4×(C2×D59)⋊C4C2211yescharacteristic
163C4×(C2×D59)⋊C4C2211yescharacteristic
164#16837249C2211yescharacteristic
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic
167#16837249C2211yescharacteristic
168#16837249C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic, complemented
170#16837247C2211yescharacteristic, complemented
171#16837247C2211yescharacteristic, complemented
172C42×Dic59C2211yescharacteristic, complemented
173C42×Dic59C2211yescharacteristic, complemented
174C2×#126×C59C2211yescharacteristic, complemented
175C2×#117×C59C2211yescharacteristic
176C59×#398C2211yescharacteristic, complemented
177C59×#396C2211yescharacteristic
178C59×#396C2211yescharacteristic, complemented
179C59×#394C2211yescharacteristic
180C59×#390C2211yescharacteristic
181C59×#389C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic
183C59×#388C2211yescharacteristic, complemented
184C59×#388C2211yescharacteristic, complemented
185C59×#387C2211yescharacteristic, complemented
186C59×#386C2211yescharacteristic
187C59×#385C2211yescharacteristic
188C4×C4⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×C22⋊D59C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C23×Dic59C2311yescharacteristic
198C23×Dic59C2311yescharacteristic
199C22×C4×D59—24no—
200C22×C4×D59—24no—
201C22×C4×D59—24no—
202C22×C4×D59C2311yescharacteristic
203C22×C4×D59C2311yescharacteristic
204C22×C4×D59C2311yescharacteristic
205C22×C4×D59C2311yescharacteristic
206C22×C4×D59C2311yescharacteristic
207C22×C4×D59C2311yescharacteristic
208C22×C4×D59C2311yescharacteristic
209C22×C4×D59C2311yescharacteristic
210C22×C4×D59C2311yescharacteristic
211#14273721—24no—
212#14273717—24no—
213#14273713—24no—
214#14273712—24no—
215#14273712—24no—
216#14273709—24no—
217#14273709—24no—
218#14273705—24no—
219#14273700—24no—
220#14273697—24no—
221#14273695—24no—
222#14273692—24no—
223D4×Dic59—24no—
224#14273689—24no—
225#14273689—24no—
226(C22⋊D59)⋊C4—24no—
227(C22⋊D59)⋊C4—24no—
228(C22⋊D59)⋊C4—24no—
229(C22⋊D59)⋊C4—24no—
230#14273686—24no—
231#14273685—24no—
232#14273685—24no—
233#14273685—24no—
234#14273685—24no—
235#14273685—24no—
236#14273684—24no—
237#14273684—24no—
238#14273683—24no—
239#14273683—24no—
240#14273683—24no—
241C2×C4⋊Dic59C2311yescharacteristic
242C2×C4⋊Dic59C2311yescharacteristic
243C2×C4⋊Dic59C2311yescharacteristic
244C2×C4⋊Dic59C2311yescharacteristic
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×Dic59⋊C4C2311yescharacteristic
250C2×Dic59⋊C4C2311yescharacteristic
251C2×Dic59⋊C4C2311yescharacteristic
252C2×Dic59⋊C4C2311yescharacteristic
253C2×Dic59⋊C4C2311yescharacteristic
254C2×Dic59⋊C4C2311yescharacteristic
255C2×Dic59⋊C4C2311yescharacteristic
256C2×Dic59⋊C4C2311yescharacteristic
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C4⋊C4×D59—24no—
266C4⋊C4×D59—24no—
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
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×(C2×D59)⋊C4C2311yescharacteristic
294C2×(C2×D59)⋊C4C2311yescharacteristic
295C2×(C2×D59)⋊C4C2311yescharacteristic
296C2×(C2×D59)⋊C4C2311yescharacteristic
297C2×(C2×D59)⋊C4C2311yescharacteristic
298C2×(C2×D59)⋊C4C2311yescharacteristic
299C2×(C2×D59)⋊C4C2311yescharacteristic
300C2×(C2×D59)⋊C4C2311yescharacteristic
301C2×(C2×D59)⋊C4C2311yescharacteristic
302C22⋊C4×D59—24no—
303C22⋊C4×D59—24no—
304C2×C4×Dic59C2311yescharacteristic
305C2×C4×Dic59C2311yescharacteristic
306C2×C4×Dic59C2311yescharacteristic
307C2×C4×Dic59C2311yescharacteristic
308C2×C4×Dic59C2311yescharacteristic
309C2×C4×Dic59C2311yescharacteristic
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C42×D59—24no—
323C42×D59D418yescomplemented
324C59⋊#95C2311yescharacteristic
325C59⋊#95C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C22×D4×C59C2311yescharacteristic
349C23×C4×C59C2311yescharacteristic
350#126×C59—24no—
351#117×C59—24no—
352C2×C4⋊C4×C59C2311yescharacteristic
353C2×C4⋊C4×C59C2311yescharacteristic
354C2×C4⋊C4×C59C2311yescharacteristic
355C2×C4⋊C4×C59C2311yescharacteristic
356C2×C4⋊C4×C59C2311yescharacteristic
357C2×C4⋊C4×C59C2311yescharacteristic
358C2×C4⋊C4×C59C2311yescharacteristic
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
362C2×C22⋊C4×C59C2311yescharacteristic
363C2×C22⋊C4×C59C2311yescharacteristic
364C2×C22⋊C4×C59C2311yescharacteristic
365C2×C22⋊C4×C59C2311yescharacteristic
366C2×C22⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59C2311yescharacteristic
368C2×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C42×C59C2311yescharacteristic
374C2×C42×C59C2311yescharacteristic
375C2×C42×C59C2311yescharacteristic
376C2×C42×C59C2311yescharacteristic
377#95×C59C2311yescharacteristic
378#95×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385C24×C59C2411yescharacteristic
386C24×C59C2411yescharacteristic
387C23×D59—22no—
388C23×D59—22no—
389C23×D59—22no—
390C23×D59—22no—
391C23×D59—22no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59C2411yescharacteristic
395C23×D59C2411yescharacteristic
396C23×D59C2411yescharacteristic
397C2×D4×C59—22no—
398C2×D4×C59—22no—
399C2×D4×C59—41no—
400C22×C4×C59—22no—
401C22×C4×C59—22no—
402C22×C4×C59—22no—
403C22×C4×C59C2411yescharacteristic
404C22×C4×C59C2411yescharacteristic
405C22×C4×C59C2411yescharacteristic
406C22×C4×C59C2411yescharacteristic
407C22×C4×C59C2411yescharacteristic
408C22×C4×C59C2411yescharacteristic
409C22×C4×C59C2411yescharacteristic
410C22×C4×C59C2411yescharacteristic
411C22×C4×C59C2411yescharacteristic
412C22×C4×C59C2411yescharacteristic
413C22×C4×C59C2411yescharacteristic
414C22×C4×C59C2411yescharacteristic
415C22×C4×C59C2411yescharacteristic
416C2×C22⋊D59—22no—
417C2×C22⋊D59—22no—
418C2×C22⋊D59—22no—
419C2×C22⋊D59—22no—
420C2×C22⋊D59—22no—
421C2×C22⋊D59—22no—
422C2×C22⋊D59—22no—
423C2×C22⋊D59—22no—
424C2×C22⋊D59—41no—
425C2×C22⋊D59—41no—
426C2×C22⋊D59—41no—
427C2×C22⋊D59—41no—
428C22×Dic59—22no—
429C22×Dic59—22no—
430C22×Dic59—22no—
431C22×Dic59—22no—
432C22×Dic59—22no—
433C22×Dic59#4114yes—
434C22×Dic59C2411yescharacteristic
435C22×Dic59C2411yescharacteristic
436C22×Dic59C2411yescharacteristic
437C22×Dic59C2411yescharacteristic
438C22×Dic59C2411yescharacteristic
439C22×Dic59C2411yescharacteristic
440C22×Dic59C2411yescharacteristic
441C22×Dic59C2411yescharacteristic
442C22×Dic59C2411yescharacteristic
443C22×Dic59C2411yescharacteristic
444C22×Dic59C2411yescharacteristic
445C22×Dic59C2411yescharacteristic
446C22×Dic59C2411yescharacteristic
447C2×D236—22no—
448C2×D236—22no—
449C2×D236—22no—
450C2×D236—22no—
451C2×D236—22no—
452C2×D236—41no—
453C2×C4×D59—232no—
454C2×C4×D59—22no—
455C2×C4×D59—22no—
456C2×C4×D59—22no—
457C2×C4×D59—22no—
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—22no—
467C2×C4×D59—22no—
468C2×C4×D59—22no—
469C2×C4×D59—22no—
470C2×C4×D59—22no—
471C2×C4×D59—22no—
472C2×C4×D59—22no—
473C2×C4×D59—41no—
474C2×C4×D59—41no—
475C2×C4×D59—41no—
476C2×C4×D59—41no—
477C2×C4×D59C2×D414yes—
478C2×C4×D59C2×D414yes—
479C2×C4×D59C2×D414yes—
480C2×C4×D59#4114yes—
481C2×Dic118—22no—
482C2×Dic118—41no—
483C2×Dic118—41no—
484C4⋊C4×C59—22no—
485C4⋊C4×C59—22no—
486C4⋊C4×C59—22no—
487C4⋊C4×C59—22no—
488C4⋊C4×C59—22no—
489C4⋊C4×C59—22no—
490C4⋊C4×C59—22no—
491C4⋊C4×C59—22no—
492C4⋊C4×C59—22no—
493C4⋊C4×C59—41no—
494C22⋊C4×C59—22no—
495C22⋊C4×C59—22no—
496C22⋊C4×C59—22no—
497C22⋊C4×C59—22no—
498C22⋊C4×C59—22no—
499C22⋊C4×C59—22no—
500C22⋊C4×C59—22no—
501C22⋊C4×C59—22no—
502C22⋊C4×C59—22no—
503C22⋊C4×C59—41no—
504C22⋊C4×C59—41no—
505C42×C59—22no—
506C42×C59—41no—
507C42×C59—41no—
508C42×C59C2×D414yes—
509C22⋊Dic59—22no—
510C22⋊Dic59—22no—
511C22⋊Dic59—22no—
512C22⋊Dic59—22no—
513C22⋊Dic59—22no—
514C22⋊Dic59—22no—
515C22⋊Dic59—22no—
516C22⋊Dic59—41no—
517C22⋊Dic59—41no—
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—22no—
528(C2×D59)⋊C4—22no—
529(C2×D59)⋊C4—22no—
530(C2×D59)⋊C4—22no—
531(C2×D59)⋊C4—22no—
532(C2×D59)⋊C4—22no—
533(C2×D59)⋊C4—22no—
534(C2×D59)⋊C4—22no—
535(C2×D59)⋊C4—22no—
536(C2×D59)⋊C4—22no—
537(C2×D59)⋊C4—22no—
538(C2×D59)⋊C4—41no—
539(C2×D59)⋊C4—41no—
540(C2×D59)⋊C4—41no—
541(C2×D59)⋊C4—41no—
542(C2×D59)⋊C4#4114yes—
543(C2×D59)⋊C4#4114yes—
544C4⋊Dic59—22no—
545C4⋊Dic59—22no—
546C4⋊Dic59—22no—
547C4⋊Dic59—22no—
548C4⋊Dic59—22no—
549C4⋊Dic59—22no—
550C4⋊Dic59—22no—
551C4⋊Dic59—41no—
552Dic59⋊C4—22no—
553Dic59⋊C4—22no—
554Dic59⋊C4—22no—
555Dic59⋊C4—22no—
556Dic59⋊C4—22no—
557Dic59⋊C4—22no—
558Dic59⋊C4—22no—
559Dic59⋊C4—22no—
560Dic59⋊C4—22no—
561Dic59⋊C4—22no—
562Dic59⋊C4—22no—
563Dic59⋊C4—22no—
564Dic59⋊C4—22no—
565Dic59⋊C4—22no—
566Dic59⋊C4—41no—
567Dic59⋊C4—41no—
568C4×Dic59—22no—
569C4×Dic59—22no—
570C4×Dic59—22no—
571C4×Dic59—22no—
572C4×Dic59—22no—
573C4×Dic59—22no—
574C4×Dic59—22no—
575C4×Dic59—22no—
576C4×Dic59—22no—
577C4×Dic59—22no—
578C4×Dic59—22no—
579C4×Dic59—22no—
580C4×Dic59—22no—
581C4×Dic59—41no—
582C4×Dic59—41no—
583C4×Dic59C2×D414yes—
584C4×Dic59C2×D414yes—
585C4×Dic59C2×D414yes—
586C23×C59—21no—
587C23×C59—21no—
588C23×C59—21no—
589C23×C59—21no—
590C23×C59—21no—
591C23×C59—21no—
592C23×C59—21no—
593C23×C59—21no—
594C23×C59—21no—
595C23×C59—21no—
596C23×C59—21no—
597C23×C59—21no—
598C23×C59—21no—
599C23×C59C2×#4112yes—
600C23×C59C2511yescharacteristic
601C22×D59—21no—
602C22×D59—21no—
603C22×D59—21no—
604C22×D59—21no—
605C22×D59—28no—
606C22×D59—21no—
607C22×D59—21no—
608C22×D59—21no—
609C22×D59—21no—
610C22×D59—21no—
611C22×D59—21no—
612C22×D59—21no—
613C22×D59—21no—
614C22×D59—21no—
615C22×D59—21no—
616C22×D59—21no—
617C22×D59—21no—
618C22×D59—21no—
619C22×D59—44no—
620C22×D59—44no—
621C22×D59—44no—
622C22×D59—44no—
623C22×D59—44no—
624C22×D59—44no—
625C22×D59C22×D412yes—
626C22×D59C2×#4112yes—
627C22×D59C2×#4112yes—
628C22×D59C2×#4112yes—
629D4×C59—44no—
630C2×C4×C59—28no—
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—21no—
658C2×C4×C59—21no—
659C2×C4×C59—21no—
660C2×C4×C59—21no—
661C2×C4×C59—21no—
662C2×C4×C59—21no—
663C2×C4×C59—21no—
664C2×C4×C59C22×D412yes—
665C2×C4×C59C22×D412yes—
666C2×C4×C59C22×D412yes—
667C2×C4×C59C2×#4112yes—
668C2×C4×C59C2×#4112yes—
669C2×C4×C59C2×#4112yes—
670C22⋊D59—44no—
671C22⋊D59—44no—
672C22⋊D59—44no—
673C22⋊D59—44no—
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—28no—
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—21no—
706C2×Dic59—44no—
707C2×Dic59C22×D412yes—
708C2×Dic59C22×D412yes—
709C2×Dic59C22×D412yes—
710C2×Dic59C2×#4112yes—
711C2×Dic59C2×#4112yes—
712C2×Dic59C2×#4112yes—
713C2×Dic59C2×#4112yes—
714C2×Dic59C2×#4112yes—
715D236—44no—
716D236—44no—
717C4×D59—28no—
718C4×D59—28no—
719C4×D59—28no—
720C4×D59—28no—
721C4×D59—28no—
722C4×D59—44no—
723C4×D59—44no—
724C4×D59—44no—
725C4×D59—44no—
726Dic118—44no—
727#34877—591nomaximal, Sylow
728C22×C59—22no—
729C22×C59—22no—
730C22×C59—22no—
731C22×C59—41no—
732C22×C59—41no—
733C22×C59—41no—
734C22×C59—41no—
735C22×C59—41no—
736C22×C59—41no—
737C22×C59—41no—
738C22×C59—41no—
739C22×C59—41no—
740C22×C59—41no—
741C22×C59—41no—
742C22×C59C23×D411yescharacteristic
743C22×C59C22×#4111yescharacteristic
744C22×C59C22×#4111yescharacteristic
745C22×C59C22×#4111yescharacteristic
746C22×C59C22×#4111yescharacteristic
747C22×C59#58511yescharacteristic
748C22×C59#58511yescharacteristic
749C2×D59—22no—
750C2×D59—22no—
751C2×D59—22no—
752C2×D59—22no—
753C2×D59—22no—
754C2×D59—22no—
755C2×D59—22no—
756C2×D59—22no—
757C2×D59—22no—
758C2×D59—416no—
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#53214yes—
771C4×C59—22no—
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—
784Dic59—22no—
785Dic59—22no—
786Dic59—22no—
787Dic59—22no—
788Dic59—22no—
789Dic59—41no—
790Dic59—41no—
791Dic59—41no—
792Dic59—41no—
793Dic59—41no—
794Dic59—41no—
795Dic59—41no—
796Dic59#52514yes—
797C2×#529—591no—
798C22×#117—591no—
799#2611—591no—
800#2611—591no—
801#2610—591no—
802#2610—591no—
803#2601—591no—
804#2601—591no—
805#2601—591no—
806#2601D5911yescharacteristic, complemented
807#2591—591no—
808#2583—591no—
809#2561—591no—
810#2539—591no—
811#2413—591no—
812#2413—591no—
813#2411—591no—
814#2411—591no—
815#2396—591no—
816#2396—591no—
817#2392—591no—
818#2392—591no—
819C4×#123—591no—
820C4×#123—591no—
821C4×#120—591no—
822C4×#120—591no—
823#2293—591no—
824#2293—591no—
825#2293—591no—
826#2293—591no—
827C4×#117—591no—
828C2×C59—42no—
829C2×C59—81no—
830C2×C59C2×#52511yescharacteristic
831C2×C59C2×#53211yescharacteristic
832C2×C59#344911yescharacteristic
833C2×C59#347511yescharacteristic
834C2×C59#347511yescharacteristic
835C2×C59#347511yescharacteristic
836C2×C59#347511yescharacteristic
837D59—24no—
838D59—42no—
839D59—81no—
840C24×C4—591no—
841#529—1188no—
842C2×#126—591no—
843C2×#126C2×D5911yescharacteristic, complemented
844C2×#125—591no—
845C2×#124—591no—
846C2×#123—591no—
847C2×#123—591no—
848C2×#123—591no—
849C2×#123—591no—
850C2×C22⋊Q8—591no—
851C2×#121—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×#117—591no—
863C2×#117—591no—
864C2×#117—591no—
865C2×#117—591no—
866C2×#117—591no—
867C2×#117—591no—
868C2×#117—591no—
869C2×#117—591no—
870C2×#117—591no—
871C2×#117—591no—
872C2×#117—591no—
873C2×#117—1188no—
874C2×#117C2×D5911yescharacteristic
875C22×C4⋊C4—591no—
876C22×C4⋊C4—591no—
877C22×C22⋊C4—591no—
878C22×C22⋊C4—591no—
879C22×C42—591no—
880C22×C42—591no—
881#400—591no—
882#400—591no—
883#399—591no—
884#399—591no—
885#398—591no—
886#398—591no—
887#398—591no—
888#398—591no—
889#398—591no—
890#398C2×D5911yescharacteristic, complemented
891#397—591no—
892#397—591no—
893#396—591no—
894#396—591no—
895#396—591no—
896#396—591no—
897#396—591no—
898#396—591no—
899#396C2×D5911yescharacteristic
900#396C2×D5911yescharacteristic, complemented
901#395—591no—
902#395—591no—
903#394—591no—
904#394—591no—
905#394—591no—
906#394—591no—
907#394—591no—
908#394C2×D5911yescharacteristic
909#393—591no—
910#393—591no—
911#392—591no—
912#392—591no—
913#390—591no—
914#390—591no—
915#390—591no—
916#390—591no—
917#390—591no—
918#390—591no—
919#390—591no—
920#390C2×D5911yescharacteristic
921#389—591no—
922#389—591no—
923#389—591no—
924#389—591no—
925#389—591no—
926#389—591no—
927#389—591no—
928#389C2×D5911yescharacteristic, complemented
929#388—591no—
930#388—591no—
931#388—591no—
932#388—591no—
933#388—591no—
934#388—591no—
935#388—591no—
936#388—591no—
937#388—591no—
938#388—591no—
939#388—591no—
940#388—591no—
941#388—591no—
942#388—591no—
943#388—591no—
944#388—591no—
945#388—591no—
946#388C2×D5911yescharacteristic
947#388C2×D5911yescharacteristic, complemented
948#388C2×D5911yescharacteristic, complemented
949#387—591no—
950#387—591no—
951#387—591no—
952#387C2×D5911yescharacteristic, complemented
953#386—591no—
954#386—591no—
955#386—591no—
956#386—591no—
957#386—591no—
958#386—591no—
959#386—591no—
960#386C2×D5911yescharacteristic
961#385—591no—
962#385—591no—
963#385—591no—
964#385—591no—
965#385—591no—
966#385—591no—
967#385—591no—
968#385C2×D5911yescharacteristic
969#381—591no—
970#381—591no—
971#379—591no—
972#379—591no—
973C4×C4⋊C4—591no—
974C4×C4⋊C4—591no—
975C4×C4⋊C4—591no—
976C4×C4⋊C4—591no—
977C4×C4⋊C4—591no—
978C4×C4⋊C4—591no—
979C4×C4⋊C4—591no—
980C4×C4⋊C4C2×D5911yescharacteristic, complemented
981C4×C22⋊C4—591no—
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—
993#376—591no—
994#376—591no—
995C43—591no—
996C43—591no—
997C59#3487711yescharacteristic, complemented, Sylow
998C25—591no—
999C22×Q8—591no—
1000C22×D4—591no—
1001C22×D4—591no—
1002C22×D4—591no—
1003C22×D4—591no—
1004C22×D4—591no—
1005C22×D4—591no—
1006C22×D4C22×D5911yescharacteristic
1007C23×C4—591no—
1008C23×C4—591no—
1009C23×C4—591no—
1010C23×C4—591no—
1011C23×C4—591no—
1012C23×C4—591no—
1013C23×C4—591no—
1014C23×C4—591no—
1015C23×C4—591no—
1016C23×C4—591no—
1017C23×C4—591no—
1018C23×C4—1184no—
1019C23×C4—1184no—
1020C23×C4—1184no—
1021C23×C4C22×D5911yescharacteristic
1022#126—24no—
1023#126—1184no—
1024#125—1184no—
1025#124—1184no—
1026#123—1184no—
1027#123—1184no—
1028#123—1184no—
1029#123—1184no—
1030C22⋊Q8—1184no—
1031#121—1184no—
1032#120—1184no—
1033#120—1184no—
1034C4×Q8—1184no—
1035C4×D4—1184no—
1036C4×D4—1184no—
1037C4×D4—1184no—
1038C4×D4—1184no—
1039C4×D4—1184no—
1040C4×D4—1184no—
1041C4×D4—1184no—
1042#117—24no—
1043#117—1184no—
1044#117—1184no—
1045#117—1184no—
1046#117—1184no—
1047#117—1184no—
1048#117—1184no—
1049#117—1184no—
1050#117—1184no—
1051#117—1184no—
1052#117—1184no—
1053#117—1184no—
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⋊C4—591no—
1068C2×C4⋊C4—591no—
1069C2×C4⋊C4—591no—
1070C2×C4⋊C4—591no—
1071C2×C4⋊C4—591no—
1072C2×C4⋊C4—591no—
1073C2×C4⋊C4—591no—
1074C2×C4⋊C4—591no—
1075C2×C4⋊C4—591no—
1076C2×C4⋊C4—591no—
1077C2×C4⋊C4—591no—
1078C2×C4⋊C4—1184no—
1079C2×C4⋊C4—1184no—
1080C2×C4⋊C4C22×D5911yescharacteristic
1081C2×C4⋊C4C22×D5911yescharacteristic
1082C2×C4⋊C4C22×D5911yescharacteristic
1083C2×C4⋊C4C22×D5911yescharacteristic
1084C2×C4⋊C4C22×D5911yescharacteristic
1085C2×C4⋊C4C22×D5911yescharacteristic
1086C2×C4⋊C4C22×D5911yescharacteristic
1087C2×C4⋊C4C22×D5911yescharacteristic
1088C2×C4⋊C4C22×D5911yescharacteristic
1089C2×C4⋊C4C22×D5911yescharacteristic
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⋊C4—591no—
1119C2×C22⋊C4—591no—
1120C2×C22⋊C4—591no—
1121C2×C22⋊C4—591no—
1122C2×C22⋊C4—591no—
1123C2×C22⋊C4—591no—
1124C2×C22⋊C4—591no—
1125C2×C22⋊C4—1184no—
1126C2×C22⋊C4—1184no—
1127C2×C22⋊C4C22×D5911yescharacteristic
1128C2×C22⋊C4C22×D5911yescharacteristic
1129C2×C22⋊C4C22×D5911yescharacteristic
1130C2×C22⋊C4C22×D5911yescharacteristic
1131C2×C22⋊C4C22×D5911yescharacteristic
1132C2×C22⋊C4C22×D5911yescharacteristic
1133C2×C22⋊C4C22×D5911yescharacteristic
1134C2×C22⋊C4C22×D5911yescharacteristic
1135C2×C22⋊C4C22×D5911yescharacteristic
1136C2×C22⋊C4C22×D5911yescharacteristic
1137C2×C22⋊C4C22×D5911yescharacteristic
1138C2×C42—591no—
1139C2×C42—591no—
1140C2×C42—591no—
1141C2×C42—598no—
1142C2×C42—591no—
1143C2×C42—591no—
1144C2×C42—591no—
1145C2×C42—591no—
1146C2×C42—591no—
1147C2×C42—591no—
1148C2×C42—591no—
1149C2×C42—591no—
1150C2×C42—591no—
1151C2×C42—591no—
1152C2×C42—591no—
1153C2×C42—591no—
1154C2×C42—591no—
1155C2×C42—591no—
1156C2×C42—591no—
1157C2×C42—1184no—
1158C2×C42C22×D5911yescharacteristic
1159C2×C42C22×D5911yescharacteristic
1160C2×C42C22×D5911yescharacteristic
1161C2×C42C22×D5911yescharacteristic
1162#95—591no—
1163#95—591no—
1164#95—591no—
1165#95—591no—
1166#95—591no—
1167#95—591no—
1168#95—591no—
1169#95—591no—
1170#95—591no—
1171#95—591no—
1172#95—591no—
1173#95—591no—
1174#95—591no—
1175#95—591no—
1176#95—591no—
1177#95—591no—
1178#95—591no—
1179#95—591no—
1180#95—591no—
1181#95—591no—
1182#95—591no—
1183#95—591no—
1184#95—591no—
1185#95—591no—
1186#95C22×D5911yescharacteristic
1187#95C22×D5911yescharacteristic
1188#95C22×D5911yescharacteristic
1189#95C22×D5911yescharacteristic
1190#95C22×D5911yescharacteristic
1191#95C22×D5911yescharacteristic
1192#95C22×D5911yescharacteristic
1193#95C22×D5911yescharacteristic
1194C24—591no—
1195C24—591no—
1196C24—591no—
1197C24—1182no—
1198C24—1182no—
1199C24—1182no—
1200C24—1182no—
1201C24—1182no—
1202C24—2361no—
1203C24—2361no—
1204C24C23×D5911yescharacteristic
1205C24C23×D5911yescharacteristic
1206C2×Q8—1182no—
1207C2×Q8—2361no—
1208C2×Q8—2361no—
1209C2×D4—22no—
1210C2×D4—22no—
1211C2×D4—41no—
1212C2×D4—1182no—
1213C2×D4—1182no—
1214C2×D4—1182no—
1215C2×D4—1182no—
1216C2×D4—1182no—
1217C2×D4—1182no—
1218C2×D4—1182no—
1219C2×D4—1182no—
1220C2×D4—1182no—
1221C2×D4—1182no—
1222C2×D4—1182no—
1223C2×D4—1182no—
1224C2×D4—1182no—
1225C2×D4—2361no—
1226C2×D4—2361no—
1227C2×D4—2361no—
1228C2×D4—2361no—
1229C2×D4—2361no—
1230C22×C4—22no—
1231C22×C4—22no—
1232C22×C4—22no—
1233C22×C4—591no—
1234C22×C4—594no—
1235C22×C4—591no—
1236C22×C4—591no—
1237C22×C4—591no—
1238C22×C4—591no—
1239C22×C4—591no—
1240C22×C4—594no—
1241C22×C4—594no—
1242C22×C4—594no—
1243C22×C4—594no—
1244C22×C4—591no—
1245C22×C4—591no—
1246C22×C4—591no—
1247C22×C4—591no—
1248C22×C4—591no—
1249C22×C4—591no—
1250C22×C4—591no—
1251C22×C4—1182no—
1252C22×C4—1182no—
1253C22×C4—1182no—
1254C22×C4—1182no—
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—11832no—
1265C22×C4—1182no—
1266C22×C4—1182no—
1267C22×C4—1182no—
1268C22×C4—1182no—
1269C22×C4—1182no—
1270C22×C4—1182no—
1271C22×C4—1182no—
1272C22×C4—1182no—
1273C22×C4—1182no—
1274C22×C4—1182no—
1275C22×C4—1182no—
1276C22×C4—2361no—
1277C22×C4—2361no—
1278C22×C4—2361no—
1279C22×C4—2361no—
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
1290C22×C4C23×D5911yescharacteristic
1291C22×C4C23×D5911yescharacteristic
1292C22×C4C23×D5911yescharacteristic
1293C4⋊C4—22no—
1294C4⋊C4—22no—
1295C4⋊C4—22no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—22no—
1299C4⋊C4—22no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—41no—
1303C4⋊C4—1182no—
1304C4⋊C4—1182no—
1305C4⋊C4—1182no—
1306C4⋊C4—1182no—
1307C4⋊C4—1182no—
1308C4⋊C4—1182no—
1309C4⋊C4—1182no—
1310C4⋊C4—1182no—
1311C4⋊C4—1182no—
1312C4⋊C4—1182no—
1313C4⋊C4—1182no—
1314C4⋊C4—1182no—
1315C4⋊C4—1182no—
1316C4⋊C4—1182no—
1317C4⋊C4—1182no—
1318C4⋊C4—1182no—
1319C4⋊C4—1182no—
1320C4⋊C4—1182no—
1321C4⋊C4—1182no—
1322C4⋊C4—1182no—
1323C4⋊C4—1182no—
1324C4⋊C4—2361no—
1325C4⋊C4—2361no—
1326C4⋊C4—2361no—
1327C22⋊C4—22no—
1328C22⋊C4—22no—
1329C22⋊C4—22no—
1330C22⋊C4—22no—
1331C22⋊C4—22no—
1332C22⋊C4—22no—
1333C22⋊C4—22no—
1334C22⋊C4—22no—
1335C22⋊C4—22no—
1336C22⋊C4—41no—
1337C22⋊C4—41no—
1338C22⋊C4—594no—
1339C22⋊C4—594no—
1340C22⋊C4—1182no—
1341C22⋊C4—1182no—
1342C22⋊C4—1182no—
1343C22⋊C4—1182no—
1344C22⋊C4—1182no—
1345C22⋊C4—1182no—
1346C22⋊C4—1182no—
1347C22⋊C4—1182no—
1348C22⋊C4—1182no—
1349C22⋊C4—1182no—
1350C22⋊C4—1182no—
1351C22⋊C4—1182no—
1352C22⋊C4—1182no—
1353C22⋊C4—1182no—
1354C22⋊C4—1182no—
1355C22⋊C4—1182no—
1356C22⋊C4—1182no—
1357C22⋊C4—1182no—
1358C22⋊C4—1182no—
1359C22⋊C4—1182no—
1360C22⋊C4—1182no—
1361C22⋊C4—1182no—
1362C22⋊C4—1182no—
1363C22⋊C4—1182no—
1364C22⋊C4—1182no—
1365C22⋊C4—1182no—
1366C22⋊C4—1182no—
1367C22⋊C4—2361no—
1368C22⋊C4—2361no—
1369C22⋊C4—2361no—
1370C22⋊C4—2361no—
1371C22⋊C4—2361no—
1372C22⋊C4—2361no—
1373C42—22no—
1374C42—41no—
1375C42—41no—
1376C42—594no—
1377C42—594no—
1378C42—594no—
1379C42—1182no—
1380C42—1182no—
1381C42—1182no—
1382C42—1182no—
1383C42—1182no—
1384C42—1182no—
1385C42—1182no—
1386C42—1182no—
1387C42—1182no—
1388C42—1182no—
1389C42—1182no—
1390C42—1182no—
1391C42—1182no—
1392C42—2361no—
1393C42—2361no—
1394C42D4×D5914yes—
1395C23—21no—
1396C23—21no—
1397C23—21no—
1398C23—21no—
1399C23—21no—
1400C23—21no—
1401C23—21no—
1402C23—21no—
1403C23—21no—
1404C23—21no—
1405C23—21no—
1406C23—21no—
1407C23—21no—
1408C23—592no—
1409C23—592no—
1410C23—592no—
1411C23—592no—
1412C23—1188no—
1413C23—1181no—
1414C23—1181no—
1415C23—1181no—
1416C23—1181no—
1417C23—1181no—
1418C23—1181no—
1419C23—1181no—
1420C23—1181no—
1421C23—1181no—
1422C23—1181no—
1423C23—1181no—
1424C23—1181no—
1425C23—1181no—
1426C23—1181no—
1427C23—1181no—
1428C23—1181no—
1429C23—1181no—
1430C23—2364no—
1431C23—2364no—
1432C23—2364no—
1433C23—2364no—
1434C23—2364no—
1435C23—2364no—
1436C23#41×D5912yes—
1437C23C24×D5911yescharacteristic
1438Q8—2364no—
1439D4—44no—
1440D4—2364no—
1441D4—2364no—
1442D4—2364no—
1443D4—2364no—
1444D4—2364no—
1445D4—2364no—
1446C2×C4—28no—
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—21no—
1480C2×C4—592no—
1481C2×C4—592no—
1482C2×C4—592no—
1483C2×C4—592no—
1484C2×C4—592no—
1485C2×C4—592no—
1486C2×C4—592no—
1487C2×C4—592no—
1488C2×C4—1188no—
1489C2×C4—1188no—
1490C2×C4—1188no—
1491C2×C4—1188no—
1492C2×C4—1188no—
1493C2×C4—1188no—
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—1181no—
1520C2×C4—1181no—
1521C2×C4—1181no—
1522C2×C4—1181no—
1523C2×C4—1181no—
1524C2×C4—1181no—
1525C2×C4—2364no—
1526C2×C4—2364no—
1527C2×C4—2364no—
1528C2×C4—2364no—
1529C2×C4—2364no—
1530C2×C4C2×D4×D5912yes—
1531C2×C4C2×D4×D5912yes—
1532C2×C4C2×D4×D5912yes—
1533C2×C4#41×D5912yes—
1534C2×C4#41×D5912yes—
1535C2×C4#41×D5912yes—
1536C22—22no—
1537C22—22no—
1538C22—22no—
1539C22—41no—
1540C22—41no—
1541C22—41no—
1542C22—41no—
1543C22—41no—
1544C22—41no—
1545C22—41no—
1546C22—41no—
1547C22—41no—
1548C22—41no—
1549C22—41no—
1550C22—594no—
1551C22—1182no—
1552C22—1182no—
1553C22—1182no—
1554C22—1182no—
1555C22—1182no—
1556C22—1182no—
1557C22—1182no—
1558C22—1182no—
1559C22—1182no—
1560C22—23616no—
1561C22—2361no—
1562C22—2361no—
1563C22—2361no—
1564C22—2361no—
1565C22—2361no—
1566C22—2361no—
1567C22—2361no—
1568C22—2361no—
1569C22—2361no—
1570C22—2361no—
1571C22—2361no—
1572C22C22×D4×D5911yescharacteristic
1573C22C2×#41×D5911yescharacteristic
1574C22C2×#41×D5911yescharacteristic
1575C22C2×#41×D5911yescharacteristic
1576C22C2×#41×D5911yescharacteristic
1577C22#1683823711yescharacteristic
1578C22#1683823911yescharacteristic
1579C4—22no—
1580C4—22no—
1581C4—22no—
1582C4—22no—
1583C4—22no—
1584C4—22no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—41no—
1591C4—41no—
1592C4—594no—
1593C4—1182no—
1594C4—1182no—
1595C4—1182no—
1596C4—1182no—
1597C4—1182no—
1598C4—2361no—
1599C4—2361no—
1600C4—2361no—
1601C4—2361no—
1602C4—2361no—
1603C4—2361no—
1604C4—2361no—
1605C2—42no—
1606C2—81no—
1607C2—1184no—
1608C2—4721no—
1609C2—2362no—
1610C2#525×D5911yescharacteristic
1611C2#532×D5911yescharacteristic
1612C2#2143742411yescharacteristic
1613C2#2143765111yescharacteristic
1614C2#2143765511yescharacteristic
1615C2#2143765711yescharacteristic
1616C2#2143766111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2601C2
prime radical#21429025C2
hypercenter#2601D59
hypocenterC59#34877
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2601

Complements

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

NH ≅ G/Ntype
1. C2×#16837935C2semidirect
2. C2×#117×D59C2semidirect
3. #21429792C2semidirect
4. #21429790C2semidirect
5. #21429781C2semidirect
6. #21429779C2semidirect
7. #21429695C2semidirect
8. #21429693C2semidirect
9. #21429687C2semidirect
10. #21429574C2semidirect
11. #21429474C2semidirect
12. #21429252C2semidirect
14. #21427498C2semidirect
15. #21427496C2semidirect
16. #21427476C2semidirect
17. #21427474C2semidirect
18. #21427373C2semidirect
19. #21427371C2semidirect
20. #21427341C2semidirect
21. #21427339C2semidirect
22. #21426623C2semidirect
23. #21426617C2semidirect
24. #21426601C2semidirect
25. #21426597C2semidirect
26. #21426558C2semidirect
27. #21426556C2semidirect
28. #21426556C2semidirect
29. #21426554C2semidirect
30. C4×#14273685C2semidirect
31. C59×#2601C2semidirect
34. C2×#14273721C22semidirect
35. C2×#14273717C22semidirect
36. C2×#14273713C22semidirect
45. C2×#14273692C22semidirect
52. C2×(C22⋊D59)⋊C4C22semidirect
58. C2×#14273685C22semidirect
63. C2×#14273683C22semidirect
71. #16837344C22semidirect
72. #16837343C22semidirect
75. #16837336C22semidirect
76. #16837335C22semidirect
77. #16837335C22semidirect
78. #16837335C22semidirect
79. #16837332C22semidirect
83. #16837325C22semidirect
86. #16837324C22semidirect
87. #16837324C22semidirect
88. #16837323C22semidirect
89. #16837322C22semidirect
93. #16837318C22semidirect
94. #16837317C22semidirect
106. #16837301C22semidirect
107. #16837300C22semidirect
108. #16837299C22semidirect
109. #16837299C22semidirect
110. #16837298C22semidirect
111. #16837297C22semidirect
112. #16837297C22semidirect
114. #16837296C22semidirect
116. #16837295C22semidirect
118. #16837294C22semidirect
119. #16837294C22semidirect
121. #16837293C22semidirect
122. #16837293C22semidirect
124. #16837292C22semidirect
126. #16837291C22semidirect
128. #16837290C22semidirect
129. #16837290C22semidirect
130. #16837287C22semidirect
131. #16837286C22semidirect
132. #16837283C22semidirect
151. C4⋊C4×Dic59C22semidirect
152. C4⋊C4×Dic59C22semidirect
153. C4⋊C4×Dic59C22semidirect
154. C4⋊C4×Dic59C22semidirect
155. C4×C4⋊Dic59C22semidirect
156. #16837253C22semidirect
157. #16837253C22semidirect
160. C22⋊C4×Dic59C22semidirect
161. C22⋊C4×Dic59C22semidirect
168. #16837249C22semidirect
169. #16837249C22semidirect
170. #16837247C22semidirect
171. #16837247C22semidirect
172. C42×Dic59C22semidirect
173. C42×Dic59C22semidirect
174. C2×#126×C59C22semidirect
176. C59×#398C22semidirect
178. C59×#396C22semidirect
181. C59×#389C22semidirect
183. C59×#388C22semidirect
184. C59×#388C22semidirect
185. C59×#387C22semidirect
188. C4×C4⋊C4×C59C22semidirect
323. C42×D59D4semidirect
806. #2601D59semidirect
843. C2×#126C2×D59semidirect
890. #398C2×D59semidirect
900. #396C2×D59semidirect
928. #389C2×D59semidirect
947. #388C2×D59semidirect
948. #388C2×D59semidirect
952. #387C2×D59semidirect
980. C4×C4⋊C4C2×D59semidirect
997. C59#34877semidirect

Maximal subgroups

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

subgroupindex
C2×#168379352
C2×#117×D592
#214297922
#214297902
#214297812
#214297792
#214296952
#214296932
#214296872
#214295742
#214294742
#214292522
#214290252
#214274982
#214274962
#214274762
#214274742
#214273732
#214273712
#214273412
#214273392
#214266232
#214266172
#214266012
#214265972
#214265582
#214265562
#214265542
C4×#142736852
C59×#26012
#3487759