Finite Group Databasebeta

← #28761404

Subgroups — #28761404

Order 15104.

2878 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837998C211yesmaximal, characteristic, complemented
2C22×#14273689C211yesmaximal, characteristic, complemented
3#21432409C211yesmaximal, characteristic, complemented
4#21432402C211yesmaximal, characteristic, complemented
5#21432387C211yesmaximal, characteristic, complemented
6#21432380C211yesmaximal, characteristic, complemented
7#21430022C211yesmaximal, characteristic, complemented
8#21429994C211yesmaximal, characteristic, complemented
9#21429966C211yesmaximal, characteristic, complemented
10#21429944C211yesmaximal, characteristic, complemented
11#21428344C211yesmaximal, characteristic, complemented
12#21428231C211yesmaximal, characteristic, complemented
13#21428138C211yesmaximal, characteristic, complemented
14#21428089C211yesmaximal, characteristic, complemented
15#21428046C211yesmaximal, characteristic, complemented
16#21427977C211yesmaximal, characteristic, complemented
17#21427898C211yesmaximal, characteristic, complemented
18#21427834C211yesmaximal, characteristic, complemented
19#21427759C211yesmaximal, characteristic, complemented
20#21427642C211yesmaximal, characteristic, complemented
21#21427574C211yesmaximal, characteristic, complemented
22#21427552C211yesmaximal, characteristic, complemented
23#21427491C211yesmaximal, characteristic, complemented
24#21427473C211yesmaximal, characteristic
25#21427425C211yesmaximal, characteristic, complemented
26#21426793C211yesmaximal, characteristic, complemented
27#21426760C211yesmaximal, characteristic, complemented
28#21426728C211yesmaximal, characteristic, complemented
29C4×#14273695C211yesmaximal, characteristic, complemented
30#385×D59C211yesmaximal, characteristic, complemented
31C59×#2449C211yesmaximal, characteristic, complemented
32C23×D236C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35#16837998—28no—
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273720C2211yescharacteristic, complemented
38C2×#14273717C2211yescharacteristic, complemented
39C2×#14273717C2211yescharacteristic, complemented
40C2×#14273712C2211yescharacteristic
41C2×#14273712C2211yescharacteristic
42C2×#14273710C2211yescharacteristic, complemented
43C2×#14273709C2211yescharacteristic, complemented
44C2×#14273709C2211yescharacteristic, complemented
45C2×#14273709C2211yescharacteristic, complemented
46C2×#14273703C2211yescharacteristic, complemented
47C2×#14273703C2211yescharacteristic, complemented
48C2×#14273703C2211yescharacteristic, complemented
49C2×#14273700C2211yescharacteristic
50C2×#14273700C2211yescharacteristic
51C2×#14273695C2211yescharacteristic
52C2×#14273695C2211yescharacteristic
53C2×#14273689—28no—
54C2×#14273689C2211yescharacteristic
55C2×#14273689C2211yescharacteristic
56C2×#14273689C2211yescharacteristic
57C2×#14273689C2211yescharacteristic
58C2×#14273689C2211yescharacteristic
59C2×#14273689C2211yescharacteristic
60C2×#14273689C2211yescharacteristic
61C2×#14273689C2211yescharacteristic
62C2×C4×C22⋊D59C2211yescharacteristic, complemented
63C2×C4×C22⋊D59C2211yescharacteristic, complemented
64C2×C4⋊C4×D59C2211yescharacteristic, complemented
65C2×C4⋊C4×D59C2211yescharacteristic, complemented
66C22×(C2×D59)⋊C4C2211yescharacteristic
67C22×(C2×D59)⋊C4C2211yescharacteristic
68C2×C22⋊C4×D59C2211yescharacteristic
69C2×C22⋊C4×D59C2211yescharacteristic
70C22×C4×Dic59C2211yescharacteristic
71#16837340C2211yescharacteristic, complemented
72#16837337C2211yescharacteristic, complemented
73#16837337C2211yescharacteristic, complemented
74#16837335C2211yescharacteristic, complemented
75#16837333C2211yescharacteristic, complemented
76#16837332C2211yescharacteristic, complemented
77#16837331C2211yescharacteristic, complemented
78#16837331C2211yescharacteristic, complemented
79#16837329C2211yescharacteristic, complemented
80#16837329C2211yescharacteristic, complemented
81#16837328C2211yescharacteristic, complemented
82#16837328C2211yescharacteristic, complemented
83#16837324C2211yescharacteristic, complemented
84#16837324C2211yescharacteristic, complemented
85#16837324C2211yescharacteristic, complemented
86#16837320C2211yescharacteristic
87#16837320C2211yescharacteristic
88#16837320C2211yescharacteristic
89#16837320C2211yescharacteristic
90#16837319C2211yescharacteristic
91#16837319C2211yescharacteristic
92#16837318C2211yescharacteristic, complemented
93#16837317C2211yescharacteristic, complemented
94#16837317C2211yescharacteristic, complemented
95#16837317C2211yescharacteristic, complemented
96#16837313C2211yescharacteristic, complemented
97#16837311C2211yescharacteristic
98#16837311C2211yescharacteristic
99#16837299C2211yescharacteristic, complemented
100#16837297C2211yescharacteristic, complemented
101#16837297C2211yescharacteristic, complemented
102#16837296C2211yescharacteristic, complemented
103#16837295C2211yescharacteristic, complemented
104#16837294C2211yescharacteristic, complemented
105#16837293C2211yescharacteristic, complemented
106#16837293C2211yescharacteristic, complemented
107#16837292C2211yescharacteristic, complemented
108#16837291C2211yescharacteristic, complemented
109#16837290C2211yescharacteristic, complemented
110#16837289C2211yescharacteristic, complemented
111#16837288C2211yescharacteristic, complemented
112#16837288C2211yescharacteristic, complemented
113#16837287C2211yescharacteristic, complemented
114#16837287C2211yescharacteristic, complemented
115#16837284C2211yescharacteristic, complemented
116#16837284C2211yescharacteristic, complemented
117#16837283C2211yescharacteristic, complemented
118#16837283C2211yescharacteristic, complemented
119#16837282C2211yescharacteristic
120#16837282C2211yescharacteristic
121#16837281C2211yescharacteristic, complemented
122#16837280C2211yescharacteristic
123#16837280C2211yescharacteristic
124#16837280C2211yescharacteristic
125#16837280C2211yescharacteristic
126#16837278C2211yescharacteristic, complemented
127#16837278C2211yescharacteristic, complemented
128#16837278C2211yescharacteristic, complemented
129#16837278C2211yescharacteristic, complemented
130#16837278C2211yescharacteristic, complemented
131#16837277C2211yescharacteristic
132#16837277C2211yescharacteristic
133#16837276C2211yescharacteristic, complemented
134#16837276C2211yescharacteristic, complemented
135#16837276C2211yescharacteristic, complemented
136#16837276C2211yescharacteristic, complemented
137#16837276C2211yescharacteristic, complemented
138#16837275C2211yescharacteristic
139#16837275C2211yescharacteristic
140#16837275C2211yescharacteristic
141#16837275C2211yescharacteristic
142#16837274C2211yescharacteristic
143#16837274C2211yescharacteristic
144#16837273C2211yescharacteristic, complemented
145#16837273C2211yescharacteristic, complemented
146#16837273C2211yescharacteristic, complemented
147#16837273C2211yescharacteristic, complemented
148#16837273C2211yescharacteristic, complemented
149#16837273C2211yescharacteristic, complemented
150#16837273C2211yescharacteristic, complemented
151#16837273C2211yescharacteristic, complemented
152#16837273C2211yescharacteristic, complemented
153#16837273C2211yescharacteristic, complemented
154#16837269C2211yescharacteristic, complemented
155#16837266C2211yescharacteristic, complemented
156#16837264C2211yescharacteristic, complemented
157#16837264C2211yescharacteristic, complemented
158#16837264C2211yescharacteristic, complemented
159#16837262C2211yescharacteristic
160#16837260C2211yescharacteristic
161#16837260C2211yescharacteristic
162#16837259C2211yescharacteristic, complemented
163#16837259C2211yescharacteristic, complemented
164#16837259C2211yescharacteristic, complemented
165#16837257C2211yescharacteristic
166#16837257C2211yescharacteristic
167#16837257C2211yescharacteristic
168#16837257C2211yescharacteristic
169C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
170C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
171C4×C22⋊Dic59C2211yescharacteristic
172#95×D59C2211yescharacteristic, complemented
173#95×D59C2211yescharacteristic, complemented
174C2×C22⋊Q8×C59C2211yescharacteristic
175C2×C22⋊Q8×C59C2211yescharacteristic, complemented
176C2×C4×D4×C59C2211yescharacteristic
177C22×C4⋊C4×C59C2211yescharacteristic
178C59×#399C2211yescharacteristic, complemented
179C59×#398C2211yescharacteristic, complemented
180C59×#396C2211yescharacteristic, complemented
181C59×#395C2211yescharacteristic, complemented
182C59×#389C2211yescharacteristic, complemented
183C59×#387C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic
186C59×#385C2211yescharacteristic
187C59×#385C2211yescharacteristic
188C59×#385C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×D236—24no—
192C22×D236—24no—
193C22×D236—24no—
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×D236C2311yescharacteristic
197C22×D236C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C22×C22⋊D59C2311yescharacteristic
201C22×C22⋊D59C2311yescharacteristic
202C23×Dic59C2311yescharacteristic
203C23×Dic59C2311yescharacteristic
204C22×C4×D59—24no—
205C22×C4×D59—24no—
206C22×C4×D59—42no—
207C22×C4×D59—42no—
208C22×C4×D59—42no—
209C22×C4×D59—42no—
210C22×C4×D59C2311yescharacteristic
211C22×C4×D59C2311yescharacteristic
212C22×C4×D59C2311yescharacteristic
213C22×C4×D59C2311yescharacteristic
214C22×C4×D59C2311yescharacteristic
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219C22×C4×D59C2311yescharacteristic
220C22×C4×D59C2311yescharacteristic
221C22×C4×D59C2311yescharacteristic
222#14273722—24no—
223#14273720—24no—
224#14273717—24no—
225#14273717—24no—
226#14273712—24no—
227#14273712—24no—
228#14273710—24no—
229#14273709—24no—
230#14273709—24no—
231#14273709—42no—
232#14273703—24no—
233#14273703—24no—
234#14273703—42no—
235#14273700—24no—
236#14273700—24no—
237#14273695—24no—
238#14273695—42no—
239#14273689—24no—
240#14273689—24no—
241#14273689—24no—
242#14273689—24no—
243#14273689—24no—
244#14273689—24no—
245#14273689—24no—
246#14273689D418yescomplemented
247C4×C22⋊D59—24no—
248C4×C22⋊D59—42no—
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
253C2×C4⋊Dic59C2311yescharacteristic
254C2×C4⋊Dic59C2311yescharacteristic
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
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C4⋊C4×D59—24no—
272C4⋊C4×D59—42no—
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×(C2×D59)⋊C4—24no—
282C2×(C2×D59)⋊C4—24no—
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
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×(C2×D59)⋊C4C2311yescharacteristic
314C2×(C2×D59)⋊C4C2311yescharacteristic
315C22⋊C4×D59—24no—
316C22⋊C4×D59—42no—
317C2×C4×Dic59—24no—
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
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
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C22×Q8×C59C2311yescharacteristic
353C22×D4×C59C2311yescharacteristic
354C23×C4×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358C22⋊Q8×C59—24no—
359C22⋊Q8×C59—42no—
360C4×D4×C59—42no—
361C2×C4⋊C4×C59—24no—
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C4⋊C4×C59C2311yescharacteristic
368C2×C4⋊C4×C59C2311yescharacteristic
369C2×C4⋊C4×C59C2311yescharacteristic
370C2×C4⋊C4×C59C2311yescharacteristic
371C2×C4⋊C4×C59C2311yescharacteristic
372C2×C4⋊C4×C59C2311yescharacteristic
373C2×C4⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C42×C59C2311yescharacteristic
383#95×C59C2311yescharacteristic
384#95×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59C2411yescharacteristic
392C24×C59C2411yescharacteristic
393C23×D59—22no—
394C23×D59—22no—
395C23×D59—22no—
396C23×D59—22no—
397C23×D59—22no—
398C23×D59—22no—
399C23×D59—22no—
400C23×D59—22no—
401C23×D59—22no—
402C23×D59—41no—
403C23×D59—41no—
404C23×D59—41no—
405C23×D59—41no—
406C23×D59#4114yes—
407C23×D59C2411yescharacteristic
408C23×D59C2411yescharacteristic
409C23×D59C2411yescharacteristic
410C23×D59C2411yescharacteristic
411C2×Q8×C59—22no—
412C2×Q8×C59—41no—
413C2×Q8×C59—41no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
416C2×D4×C59—22no—
417C22×C4×C59—22no—
418C22×C4×C59—22no—
419C22×C4×C59—22no—
420C22×C4×C59—22no—
421C22×C4×C59—22no—
422C22×C4×C59—22no—
423C22×C4×C59—22no—
424C22×C4×C59—22no—
425C22×C4×C59—41no—
426C22×C4×C59—41no—
427C22×C4×C59—41no—
428C22×C4×C59—41no—
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C22×C4×C59C2411yescharacteristic
441C22×C4×C59C2411yescharacteristic
442C2×C22⋊D59—22no—
443C2×C22⋊D59—22no—
444C2×C22⋊D59—22no—
445C2×C22⋊D59—22no—
446C2×C22⋊D59—22no—
447C2×C22⋊D59—22no—
448C2×C22⋊D59—41no—
449C2×C22⋊D59—41no—
450C2×C22⋊D59—41no—
451C2×C22⋊D59—41no—
452C2×C22⋊D59—41no—
453C2×C22⋊D59—41no—
454C22×Dic59—22no—
455C22×Dic59—22no—
456C22×Dic59—22no—
457C22×Dic59—22no—
458C22×Dic59—22no—
459C22×Dic59—41no—
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463C22×Dic59C2411yescharacteristic
464C22×Dic59C2411yescharacteristic
465C22×Dic59C2411yescharacteristic
466C22×Dic59C2411yescharacteristic
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C2×D236—232no—
473C2×D236—22no—
474C2×D236—22no—
475C2×D236—22no—
476C2×D236—22no—
477C2×D236—22no—
478C2×D236—22no—
479C2×D236—22no—
480C2×D236—22no—
481C2×D236—22no—
482C2×D236—22no—
483C2×D236C2×D414yes—
484C2×D236#4114yes—
485C2×C4×D59—22no—
486C2×C4×D59—22no—
487C2×C4×D59—22no—
488C2×C4×D59—22no—
489C2×C4×D59—22no—
490C2×C4×D59—22no—
491C2×C4×D59—22no—
492C2×C4×D59—22no—
493C2×C4×D59—22no—
494C2×C4×D59—22no—
495C2×C4×D59—22no—
496C2×C4×D59—22no—
497C2×C4×D59—22no—
498C2×C4×D59—22no—
499C2×C4×D59—22no—
500C2×C4×D59—22no—
501C2×C4×D59—41no—
502C2×C4×D59—41no—
503C2×C4×D59—41no—
504C2×C4×D59—41no—
505C2×C4×D59—41no—
506C2×C4×D59—41no—
507C2×C4×D59—41no—
508C2×C4×D59—41no—
509C2×C4×D59—41no—
510C2×C4×D59—41no—
511C2×C4×D59—41no—
512C2×C4×D59—41no—
513C2×C4×D59—41no—
514C2×C4×D59—41no—
515C2×C4×D59—416no—
516C2×C4×D59—416no—
517C2×C4×D59—41no—
518C2×C4×D59—41no—
519C2×C4×D59—41no—
520C2×C4×D59—41no—
521C2×C4×D59C2×D414yes—
522C2×C4×D59C2×D414yes—
523C4⋊C4×C59—22no—
524C4⋊C4×C59—22no—
525C4⋊C4×C59—22no—
526C4⋊C4×C59—22no—
527C4⋊C4×C59—22no—
528C4⋊C4×C59—22no—
529C4⋊C4×C59—41no—
530C4⋊C4×C59—41no—
531C4⋊C4×C59—41no—
532C4⋊C4×C59—41no—
533C4⋊C4×C59—41no—
534C4⋊C4×C59C2×D414yes—
535C22⋊C4×C59—22no—
536C22⋊C4×C59—22no—
537C22⋊C4×C59—22no—
538C22⋊C4×C59—22no—
539C22⋊C4×C59—22no—
540C22⋊C4×C59—22no—
541C22⋊C4×C59—41no—
542C22⋊C4×C59—41no—
543C42×C59—41no—
544C22⋊Dic59—22no—
545C22⋊Dic59—22no—
546C22⋊Dic59—22no—
547C22⋊Dic59—22no—
548C22⋊Dic59—22no—
549C22⋊Dic59—22no—
550C22⋊Dic59—22no—
551C22⋊Dic59—41no—
552(C2×D59)⋊C4—22no—
553(C2×D59)⋊C4—22no—
554(C2×D59)⋊C4—22no—
555(C2×D59)⋊C4—22no—
556(C2×D59)⋊C4—22no—
557(C2×D59)⋊C4—22no—
558(C2×D59)⋊C4—22no—
559(C2×D59)⋊C4—22no—
560(C2×D59)⋊C4—22no—
561(C2×D59)⋊C4—22no—
562(C2×D59)⋊C4—22no—
563(C2×D59)⋊C4—22no—
564(C2×D59)⋊C4—22no—
565(C2×D59)⋊C4—22no—
566(C2×D59)⋊C4—22no—
567(C2×D59)⋊C4—22no—
568(C2×D59)⋊C4—22no—
569(C2×D59)⋊C4—22no—
570(C2×D59)⋊C4—41no—
571(C2×D59)⋊C4—41no—
572(C2×D59)⋊C4—41no—
573(C2×D59)⋊C4—41no—
574(C2×D59)⋊C4—41no—
575(C2×D59)⋊C4—41no—
576(C2×D59)⋊C4—41no—
577(C2×D59)⋊C4—41no—
578(C2×D59)⋊C4—41no—
579(C2×D59)⋊C4—41no—
580(C2×D59)⋊C4—41no—
581(C2×D59)⋊C4—41no—
582(C2×D59)⋊C4C2×D414yes—
583(C2×D59)⋊C4C2×D414yes—
584C4⋊Dic59—22no—
585C4⋊Dic59—22no—
586C4⋊Dic59—22no—
587C4⋊Dic59—22no—
588C4⋊Dic59—41no—
589C4⋊Dic59—41no—
590Dic59⋊C4—22no—
591Dic59⋊C4—22no—
592Dic59⋊C4—22no—
593Dic59⋊C4—22no—
594Dic59⋊C4—22no—
595Dic59⋊C4—22no—
596Dic59⋊C4—22no—
597Dic59⋊C4—22no—
598Dic59⋊C4—22no—
599Dic59⋊C4—22no—
600Dic59⋊C4—22no—
601Dic59⋊C4—22no—
602Dic59⋊C4—41no—
603Dic59⋊C4—41no—
604Dic59⋊C4—41no—
605Dic59⋊C4—41no—
606C4×Dic59—22no—
607C4×Dic59—22no—
608C4×Dic59—22no—
609C4×Dic59—22no—
610C4×Dic59—41no—
611C4×Dic59C2×D414yes—
612C23×C59—21no—
613C23×C59—21no—
614C23×C59—21no—
615C23×C59—21no—
616C23×C59—21no—
617C23×C59—21no—
618C23×C59—21no—
619C23×C59—21no—
620C23×C59—21no—
621C23×C59—21no—
622C23×C59—21no—
623C23×C59C2×#4112yes—
624C23×C59H(5,𝔽2)12yes—
625C23×C592−1+412yes—
626C23×C59C2511yescharacteristic
627C22×D59—21no—
628C22×D59—21no—
629C22×D59—21no—
630C22×D59—21no—
631C22×D59—28no—
632C22×D59—28no—
633C22×D59—21no—
634C22×D59—21no—
635C22×D59—21no—
636C22×D59—21no—
637C22×D59—21no—
638C22×D59—21no—
639C22×D59—21no—
640C22×D59—21no—
641C22×D59—21no—
642C22×D59—21no—
643C22×D59—21no—
644C22×D59—21no—
645C22×D59—21no—
646C22×D59—21no—
647C22×D59—21no—
648C22×D59—21no—
649C22×D59—21no—
650C22×D59—21no—
651C22×D59—28no—
652C22×D59—44no—
653C22×D59—44no—
654C22×D59—44no—
655C22×D59—44no—
656C22×D59—44no—
657C22×D59—44no—
658C22×D59—44no—
659C22×D59—44no—
660C22×D59—44no—
661C22×D59—44no—
662C22×D59—44no—
663C22×D59C22×D412yes—
664C22×D59C22×D412yes—
665C22×D59C2×#4112yes—
666C22×D59C2×#4112yes—
667C22×D59C2×#4112yes—
668C22×D59C2×#4112yes—
669Q8×C59—82no—
670D4×C59—44no—
671C2×C4×C59—28no—
672C2×C4×C59—21no—
673C2×C4×C59—21no—
674C2×C4×C59—21no—
675C2×C4×C59—21no—
676C2×C4×C59—21no—
677C2×C4×C59—21no—
678C2×C4×C59—21no—
679C2×C4×C59—21no—
680C2×C4×C59—21no—
681C2×C4×C59—21no—
682C2×C4×C59—21no—
683C2×C4×C59—21no—
684C2×C4×C59—21no—
685C2×C4×C59—21no—
686C2×C4×C59—21no—
687C2×C4×C59—21no—
688C2×C4×C59—21no—
689C2×C4×C59—21no—
690C2×C4×C59—21no—
691C2×C4×C59—21no—
692C2×C4×C59—21no—
693C2×C4×C59—21no—
694C2×C4×C59—21no—
695C2×C4×C59—21no—
696C2×C4×C59—21no—
697C2×C4×C59—21no—
698C2×C4×C59—21no—
699C2×C4×C59—21no—
700C2×C4×C59—21no—
701C2×C4×C59—21no—
702C2×C4×C59—21no—
703C2×C4×C59—21no—
704C2×C4×C59—21no—
705C2×C4×C59—21no—
706C2×C4×C59—21no—
707C2×C4×C59—44no—
708C2×C4×C59—44no—
709C2×C4×C59—82no—
710C2×C4×C59C22×D412yes—
711C2×C4×C59C22×D412yes—
712C2×C4×C59C22×D412yes—
713C2×C4×C59C2×#4112yes—
714C22⋊D59—44no—
715C22⋊D59—44no—
716C22⋊D59—82no—
717C22⋊D59—82no—
718C2×Dic59—28no—
719C2×Dic59—21no—
720C2×Dic59—21no—
721C2×Dic59—21no—
722C2×Dic59—21no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—21no—
751C2×Dic59—21no—
752C2×Dic59—44no—
753C2×Dic59C22×D412yes—
754C2×Dic59C22×D412yes—
755C2×Dic59H(5,𝔽2)12yes—
756D236—28no—
757D236—28no—
758D236—28no—
759D236—28no—
760C4×D59—44no—
761C4×D59—44no—
762C4×D59—44no—
763C4×D59—44no—
764C4×D59—44no—
765C4×D59—44no—
766C4×D59—44no—
767C4×D59—44no—
768C4×D59—44no—
769C4×D59—44no—
770C4×D59—82no—
771C4×D59—82no—
772#34991—591nomaximal, Sylow
773C22×C59—22no—
774C22×C59—22no—
775C22×C59—22no—
776C22×C59—22no—
777C22×C59—22no—
778C22×C59—22no—
779C22×C59—41no—
780C22×C59—41no—
781C22×C59—41no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59—41no—
786C22×C59#53914yescomplemented
787C22×C59C23×D411yescharacteristic
788C22×C59C22×#4111yescharacteristic
789C22×C59C22×#4111yescharacteristic
790C22×C59C2×H(5,𝔽2)11yescharacteristic
791C22×C59C2×H(5,𝔽2)11yescharacteristic
792C22×C59C2×2−1+411yescharacteristic
793C22×C59#58511yescharacteristic
794C2×D59—22no—
795C2×D59—22no—
796C2×D59—22no—
797C2×D59—22no—
798C2×D59—22no—
799C2×D59—22no—
800C2×D59—22no—
801C2×D59—22no—
802C2×D59—22no—
803C2×D59—22no—
804C2×D59—22no—
805C2×D59—22no—
806C2×D59—22no—
807C2×D59—22no—
808C2×D59—22no—
809C2×D59—416no—
810C2×D59—416no—
811C2×D59—41no—
812C2×D59—41no—
813C2×D59—41no—
814C2×D59—41no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—41no—
822C2×D59—41no—
823C2×D59#52514yes—
824C4×C59—22no—
825C4×C59—22no—
826C4×C59—22no—
827C4×C59—22no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59—41no—
835C4×C59—41no—
836C4×C59—41no—
837Dic59—22no—
838Dic59—22no—
839Dic59—22no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59—41no—
846Dic59—41no—
847Dic59—41no—
848Dic59—41no—
849C2×#539—591no—
850C22×C4×D4—591no—
851#2852—591no—
852#2851—591no—
853#2849—591no—
854#2848—591no—
855#2638—591no—
856#2636—591no—
857#2633—591no—
858#2630—591no—
859#2480—591no—
860#2473—591no—
861#2466—591no—
862#2463—591no—
863#2460—591no—
864#2455—591no—
865#2449—591no—
866#2449D5911yescharacteristic, complemented
867#2443—591no—
868#2437—591no—
869#2425—591no—
870#2419—591no—
871#2418—591no—
872#2412—591no—
873#2410—591no—
874#2405—591no—
875#2325—591no—
876#2322—591no—
877#2318—591no—
878C4×#120—591no—
879C2×#385—591no—
880C2×C59—24no—
881C2×C59—81no—
882C2×C59C2×#52511yescharacteristic
883C2×C59C2×#53911yescharacteristic
884C2×C59#345911yescharacteristic
885C2×C59#348411yescharacteristic
886C2×C59#348911yescharacteristic
887C2×C59#351311yescharacteristic
888C2×C59#352011yescharacteristic
889D59—24no—
890D59—42no—
891D59—42no—
892D59—42no—
893C23×D4—591no—
894C24×C4—591no—
895C24×C4—591no—
896#539—1188no—
897C2×#126—591no—
898C2×#126—591no—
899C2×#125—591no—
900C2×#125—591no—
901C2×#123—591no—
902C2×#123—591no—
903C2×#123—591no—
904C2×#123—591no—
905C2×#123—591no—
906C2×#123—591no—
907C2×C22⋊Q8—591no—
908C2×C22⋊Q8—591no—
909C2×C22⋊Q8—591no—
910C2×C22⋊Q8C2×D5911yescharacteristic
911C2×C22⋊Q8C2×D5911yescharacteristic, complemented
912C2×#121—591no—
913C2×#121—591no—
914C2×#120—591no—
915C2×#120—591no—
916C2×C4×D4—591no—
917C2×C4×D4—591no—
918C2×C4×D4—591no—
919C2×C4×D4—591no—
920C2×C4×D4—591no—
921C2×C4×D4—591no—
922C2×C4×D4—591no—
923C2×C4×D4—591no—
924C2×C4×D4—591no—
925C2×C4×D4—591no—
926C2×C4×D4—1188no—
927C2×C4×D4C2×D5911yescharacteristic
928C22×C4⋊C4—591no—
929C22×C4⋊C4—591no—
930C22×C4⋊C4C2×D5911yescharacteristic
931C22×C22⋊C4—591no—
932C22×C22⋊C4—591no—
933C22×C22⋊C4—591no—
934C22×C22⋊C4—591no—
935C22×C42—591no—
936#400—591no—
937#399—591no—
938#399—591no—
939#399C2×D5911yescharacteristic, complemented
940#398—591no—
941#398—591no—
942#398—591no—
943#398C2×D5911yescharacteristic, complemented
944#397—591no—
945#397—591no—
946#397—591no—
947#397—591no—
948#397—591no—
949#397—591no—
950#396—591no—
951#396—591no—
952#396—591no—
953#396C2×D5911yescharacteristic, complemented
954#395C2×D5911yescharacteristic, complemented
955#394—591no—
956#394—591no—
957#394—591no—
958#394—591no—
959#394—591no—
960#394—591no—
961#394—591no—
962#394—591no—
963#394—591no—
964#394—591no—
965#393—591no—
966#392—591no—
967#392—591no—
968#389—591no—
969#389—591no—
970#389—591no—
971#389C2×D5911yescharacteristic, complemented
972#388—591no—
973#388—591no—
974#388—591no—
975#388—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#387—591no—
981#387—591no—
982#387—591no—
983#387—591no—
984#387—591no—
985#387—591no—
986#387—591no—
987#387—591no—
988#387—591no—
989#387C2×D5911yescharacteristic, complemented
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#386—591no—
997#386—591no—
998#386—591no—
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386C2×D5911yescharacteristic
1003#386C2×D5911yescharacteristic
1004#385—591no—
1005#385—591no—
1006#385—591no—
1007#385—591no—
1008#385—591no—
1009#385—591no—
1010#385—591no—
1011#385—591no—
1012#385—591no—
1013#385—591no—
1014#385—591no—
1015#385—591no—
1016#385—591no—
1017#385—591no—
1018#385—591no—
1019#385—591no—
1020#385—591no—
1021#385—591no—
1022#385—591no—
1023#385—591no—
1024#385—591no—
1025#385—591no—
1026#385—591no—
1027#385C2×D5911yescharacteristic
1028#385C2×D5911yescharacteristic
1029#385C2×D5911yescharacteristic, complemented
1030#383—591no—
1031#382—591no—
1032#381—591no—
1033#381—591no—
1034#381—591no—
1035#380—591no—
1036#380—591no—
1037#380—591no—
1038#380—591no—
1039#380—591no—
1040#380—591no—
1041#379—591no—
1042#379—591no—
1043#379—591no—
1044#379—591no—
1045C4×C22⋊C4—591no—
1046C4×C22⋊C4—591no—
1047C4×C22⋊C4—591no—
1048C2×#95—591no—
1049C2×#95—591no—
1050C59#3499111yescharacteristic, complemented, Sylow
1051C25—591no—
1052C25—591no—
1053C22×Q8C22×D5911yescharacteristic
1054C22×D4—591no—
1055C22×D4—591no—
1056C22×D4—591no—
1057C22×D4—591no—
1058C22×D4—591no—
1059C22×D4—591no—
1060C22×D4—591no—
1061C22×D4—591no—
1062C22×D4—1184no—
1063C22×D4—1184no—
1064C22×D4—1184no—
1065C22×D4C22×D5911yescharacteristic
1066C23×C4—591no—
1067C23×C4—591no—
1068C23×C4—591no—
1069C23×C4—591no—
1070C23×C4—591no—
1071C23×C4—591no—
1072C23×C4—591no—
1073C23×C4—591no—
1074C23×C4—591no—
1075C23×C4—591no—
1076C23×C4—591no—
1077C23×C4—591no—
1078C23×C4—591no—
1079C23×C4—591no—
1080C23×C4—1184no—
1081C23×C4—1184no—
1082C23×C4—2362no—
1083C23×C4—2362no—
1084C23×C4—2362no—
1085C23×C4—2362no—
1086C23×C4C22×D5911yescharacteristic
1087C23×C4C22×D5911yescharacteristic
1088C23×C4C22×D5911yescharacteristic
1089C23×C4C22×D5911yescharacteristic
1090#126—1184no—
1091#126—1184no—
1092#125—1184no—
1093#125—1184no—
1094#123—1184no—
1095#123—1184no—
1096#123—1184no—
1097#123—1184no—
1098#123—1184no—
1099#123—2362no—
1100C22⋊Q8—24no—
1101C22⋊Q8—42no—
1102C22⋊Q8—1184no—
1103C22⋊Q8—1184no—
1104C22⋊Q8—2362no—
1105#121—1184no—
1106#121—1184no—
1107#120—1184no—
1108#120—2362no—
1109C4×D4—42no—
1110C4×D4—598no—
1111C4×D4—1184no—
1112C4×D4—1184no—
1113C4×D4—1184no—
1114C4×D4—1184no—
1115C4×D4—1184no—
1116C4×D4—1184no—
1117C4×D4—1184no—
1118C4×D4—1184no—
1119C4×D4—2362no—
1120C2×C4⋊C4—24no—
1121C2×C4⋊C4—591no—
1122C2×C4⋊C4—591no—
1123C2×C4⋊C4—591no—
1124C2×C4⋊C4—591no—
1125C2×C4⋊C4—591no—
1126C2×C4⋊C4—591no—
1127C2×C4⋊C4—591no—
1128C2×C4⋊C4—591no—
1129C2×C4⋊C4—591no—
1130C2×C4⋊C4—591no—
1131C2×C4⋊C4—591no—
1132C2×C4⋊C4—591no—
1133C2×C4⋊C4—591no—
1134C2×C4⋊C4—591no—
1135C2×C4⋊C4—591no—
1136C2×C4⋊C4—591no—
1137C2×C4⋊C4—591no—
1138C2×C4⋊C4—591no—
1139C2×C4⋊C4—591no—
1140C2×C4⋊C4—591no—
1141C2×C4⋊C4—591no—
1142C2×C4⋊C4—591no—
1143C2×C4⋊C4—1184no—
1144C2×C4⋊C4—2362no—
1145C2×C4⋊C4C22×D5911yescharacteristic
1146C2×C4⋊C4C22×D5911yescharacteristic
1147C2×C4⋊C4C22×D5911yescharacteristic
1148C2×C4⋊C4C22×D5911yescharacteristic
1149C2×C4⋊C4C22×D5911yescharacteristic
1150C2×C4⋊C4C22×D5911yescharacteristic
1151C2×C4⋊C4C22×D5911yescharacteristic
1152C2×C4⋊C4C22×D5911yescharacteristic
1153C2×C4⋊C4C22×D5911yescharacteristic
1154C2×C4⋊C4C22×D5911yescharacteristic
1155C2×C4⋊C4C22×D5911yescharacteristic
1156C2×C4⋊C4C22×D5911yescharacteristic
1157C2×C22⋊C4—591no—
1158C2×C22⋊C4—591no—
1159C2×C22⋊C4—591no—
1160C2×C22⋊C4—591no—
1161C2×C22⋊C4—591no—
1162C2×C22⋊C4—591no—
1163C2×C22⋊C4—591no—
1164C2×C22⋊C4—591no—
1165C2×C22⋊C4—591no—
1166C2×C22⋊C4—591no—
1167C2×C22⋊C4—591no—
1168C2×C22⋊C4—591no—
1169C2×C22⋊C4—591no—
1170C2×C22⋊C4—591no—
1171C2×C22⋊C4—591no—
1172C2×C22⋊C4—591no—
1173C2×C22⋊C4—591no—
1174C2×C22⋊C4—591no—
1175C2×C22⋊C4—591no—
1176C2×C22⋊C4—591no—
1177C2×C22⋊C4—591no—
1178C2×C22⋊C4—591no—
1179C2×C22⋊C4—591no—
1180C2×C22⋊C4—591no—
1181C2×C22⋊C4—591no—
1182C2×C22⋊C4—591no—
1183C2×C22⋊C4—591no—
1184C2×C22⋊C4—591no—
1185C2×C22⋊C4—591no—
1186C2×C22⋊C4—591no—
1187C2×C22⋊C4—591no—
1188C2×C22⋊C4—591no—
1189C2×C22⋊C4—591no—
1190C2×C22⋊C4—591no—
1191C2×C22⋊C4—591no—
1192C2×C22⋊C4—591no—
1193C2×C22⋊C4—591no—
1194C2×C22⋊C4—591no—
1195C2×C22⋊C4—591no—
1196C2×C22⋊C4—591no—
1197C2×C22⋊C4—1184no—
1198C2×C22⋊C4—1184no—
1199C2×C22⋊C4—1184no—
1200C2×C22⋊C4—2362no—
1201C2×C22⋊C4C22×D5911yescharacteristic
1202C2×C22⋊C4C22×D5911yescharacteristic
1203C2×C22⋊C4C22×D5911yescharacteristic
1204C2×C22⋊C4C22×D5911yescharacteristic
1205C2×C22⋊C4C22×D5911yescharacteristic
1206C2×C22⋊C4C22×D5911yescharacteristic
1207C2×C22⋊C4C22×D5911yescharacteristic
1208C2×C22⋊C4C22×D5911yescharacteristic
1209C2×C42—591no—
1210C2×C42—591no—
1211C2×C42—591no—
1212C2×C42—591no—
1213C2×C42—591no—
1214C2×C42—591no—
1215C2×C42—1184no—
1216C2×C42C22×D5911yescharacteristic
1217#95—591no—
1218#95—591no—
1219#95—591no—
1220#95—591no—
1221#95—591no—
1222#95—591no—
1223#95—591no—
1224#95—591no—
1225#95—591no—
1226#95—591no—
1227#95—591no—
1228#95—591no—
1229#95—591no—
1230#95—591no—
1231#95—591no—
1232#95—591no—
1233#95—591no—
1234#95—591no—
1235#95—591no—
1236#95—591no—
1237#95—591no—
1238#95—591no—
1239#95—591no—
1240#95—591no—
1241#95—591no—
1242#95—591no—
1243#95—591no—
1244#95—591no—
1245#95C22×D5911yescharacteristic
1246#95C22×D5911yescharacteristic
1247#95C22×D5911yescharacteristic
1248#95C22×D5911yescharacteristic
1249#95C22×D5911yescharacteristic
1250#95C22×D5911yescharacteristic
1251#95C22×D5911yescharacteristic
1252#95C22×D5911yescharacteristic
1253C24—591no—
1254C24—591no—
1255C24—591no—
1256C24—591no—
1257C24—594no—
1258C24—1182no—
1259C24—1182no—
1260C24—1182no—
1261C24—1182no—
1262C24—1182no—
1263C24—1182no—
1264C24—1182no—
1265C24—1182no—
1266C24—1182no—
1267C24—2361no—
1268C24—2361no—
1269C24—2361no—
1270C24—2361no—
1271C24C23×D5911yescharacteristic
1272C24C23×D5911yescharacteristic
1273C2×Q8—22no—
1274C2×Q8—41no—
1275C2×Q8—41no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—594no—
1280C2×D4—594no—
1281C2×D4—1182no—
1282C2×D4—1182no—
1283C2×D4—1182no—
1284C2×D4—1182no—
1285C2×D4—1182no—
1286C2×D4—1182no—
1287C2×D4—1182no—
1288C2×D4—1182no—
1289C2×D4—11832no—
1290C2×D4—1182no—
1291C2×D4—1182no—
1292C2×D4—1182no—
1293C2×D4—1182no—
1294C2×D4—1182no—
1295C2×D4—1182no—
1296C2×D4—1182no—
1297C2×D4—1182no—
1298C2×D4—2361no—
1299C2×D4—2361no—
1300C2×D4—2361no—
1301C2×D4—2361no—
1302C2×D4—2361no—
1303C2×D4—2361no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—41no—
1313C22×C4—41no—
1314C22×C4—41no—
1315C22×C4—41no—
1316C22×C4—591no—
1317C22×C4—591no—
1318C22×C4—591no—
1319C22×C4—594no—
1320C22×C4—594no—
1321C22×C4—591no—
1322C22×C4—591no—
1323C22×C4—591no—
1324C22×C4—591no—
1325C22×C4—591no—
1326C22×C4—591no—
1327C22×C4—591no—
1328C22×C4—591no—
1329C22×C4—591no—
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—1182no—
1347C22×C4—1182no—
1348C22×C4—1182no—
1349C22×C4—1182no—
1350C22×C4—1182no—
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—2361no—
1367C22×C4—2361no—
1368C22×C4—2361no—
1369C22×C4—23616no—
1370C22×C4—23616no—
1371C22×C4—2361no—
1372C22×C4C23×D5911yescharacteristic
1373C22×C4C23×D5911yescharacteristic
1374C22×C4C23×D5911yescharacteristic
1375C22×C4C23×D5911yescharacteristic
1376C22×C4C23×D5911yescharacteristic
1377C22×C4C23×D5911yescharacteristic
1378C22×C4C23×D5911yescharacteristic
1379C22×C4C23×D5911yescharacteristic
1380C22×C4C23×D5911yescharacteristic
1381C22×C4C23×D5911yescharacteristic
1382C22×C4C23×D5911yescharacteristic
1383C22×C4C23×D5911yescharacteristic
1384C22×C4C23×D5911yescharacteristic
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—41no—
1392C4⋊C4—41no—
1393C4⋊C4—41no—
1394C4⋊C4—41no—
1395C4⋊C4—41no—
1396C4⋊C4—1182no—
1397C4⋊C4—1182no—
1398C4⋊C4—1182no—
1399C4⋊C4—1182no—
1400C4⋊C4—1182no—
1401C4⋊C4—1182no—
1402C4⋊C4—1182no—
1403C4⋊C4—1182no—
1404C4⋊C4—1182no—
1405C4⋊C4—1182no—
1406C4⋊C4—1182no—
1407C4⋊C4—1182no—
1408C4⋊C4—1182no—
1409C4⋊C4—1182no—
1410C4⋊C4—1182no—
1411C4⋊C4—1182no—
1412C4⋊C4—2361no—
1413C4⋊C4—2361no—
1414C4⋊C4—2361no—
1415C4⋊C4—2361no—
1416C4⋊C4—2361no—
1417C4⋊C4—2361no—
1418C4⋊C4D4×D5914yes—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—22no—
1422C22⋊C4—22no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—594no—
1428C22⋊C4—594no—
1429C22⋊C4—1182no—
1430C22⋊C4—1182no—
1431C22⋊C4—1182no—
1432C22⋊C4—1182no—
1433C22⋊C4—1182no—
1434C22⋊C4—1182no—
1435C22⋊C4—1182no—
1436C22⋊C4—1182no—
1437C22⋊C4—1182no—
1438C22⋊C4—1182no—
1439C22⋊C4—1182no—
1440C22⋊C4—1182no—
1441C22⋊C4—1182no—
1442C22⋊C4—1182no—
1443C22⋊C4—1182no—
1444C22⋊C4—1182no—
1445C22⋊C4—1182no—
1446C22⋊C4—1182no—
1447C22⋊C4—1182no—
1448C22⋊C4—1182no—
1449C22⋊C4—1182no—
1450C22⋊C4—1182no—
1451C22⋊C4—1182no—
1452C22⋊C4—1182no—
1453C22⋊C4—1182no—
1454C22⋊C4—2361no—
1455C22⋊C4—2361no—
1456C22⋊C4—2361no—
1457C22⋊C4—2361no—
1458C22⋊C4—2361no—
1459C22⋊C4—2361no—
1460C22⋊C4—2361no—
1461C22⋊C4—2361no—
1462C22⋊C4—2361no—
1463C22⋊C4—2361no—
1464C22⋊C4—2361no—
1465C22⋊C4—2361no—
1466C22⋊C4—2361no—
1467C42—41no—
1468C42—594no—
1469C42—1182no—
1470C42—1182no—
1471C42—1182no—
1472C42—1182no—
1473C42—2361no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—592no—
1486C23—592no—
1487C23—592no—
1488C23—592no—
1489C23—592no—
1490C23—592no—
1491C23—1188no—
1492C23—1188no—
1493C23—1181no—
1494C23—1181no—
1495C23—1181no—
1496C23—1181no—
1497C23—1181no—
1498C23—1181no—
1499C23—1181no—
1500C23—1181no—
1501C23—1181no—
1502C23—1181no—
1503C23—1181no—
1504C23—1181no—
1505C23—1181no—
1506C23—1181no—
1507C23—1181no—
1508C23—1181no—
1509C23—1181no—
1510C23—1181no—
1511C23—1181no—
1512C23—1181no—
1513C23—1181no—
1514C23—1181no—
1515C23—1188no—
1516C23—2364no—
1517C23—2364no—
1518C23—2364no—
1519C23—2364no—
1520C23—2364no—
1521C23—2364no—
1522C23—2364no—
1523C23—2364no—
1524C23—2364no—
1525C23—2364no—
1526C23—2364no—
1527C23#41×D5912yes—
1528C23#1427377212yes—
1529C23#1427377512yes—
1530C23C24×D5911yescharacteristic
1531Q8—82no—
1532D4—44no—
1533D4—1188no—
1534D4—1188no—
1535D4—1188no—
1536D4—1188no—
1537D4—4722no—
1538D4—4722no—
1539D4—2364no—
1540D4—2364no—
1541C2×C4—28no—
1542C2×C4—21no—
1543C2×C4—21no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—44no—
1578C2×C4—44no—
1579C2×C4—82no—
1580C2×C4—592no—
1581C2×C4—592no—
1582C2×C4—592no—
1583C2×C4—1188no—
1584C2×C4—1181no—
1585C2×C4—1181no—
1586C2×C4—1181no—
1587C2×C4—1181no—
1588C2×C4—1181no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—1181no—
1596C2×C4—1181no—
1597C2×C4—1181no—
1598C2×C4—1181no—
1599C2×C4—1181no—
1600C2×C4—1181no—
1601C2×C4—1181no—
1602C2×C4—1181no—
1603C2×C4—1181no—
1604C2×C4—1181no—
1605C2×C4—1181no—
1606C2×C4—1181no—
1607C2×C4—1181no—
1608C2×C4—1181no—
1609C2×C4—1181no—
1610C2×C4—1181no—
1611C2×C4—1181no—
1612C2×C4—1181no—
1613C2×C4—1181no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—4722no—
1618C2×C4—4722no—
1619C2×C4—2364no—
1620C2×C4—2364no—
1621C2×C4—2364no—
1622C2×C4—2364no—
1623C2×C4—2364no—
1624C2×C4—2364no—
1625C2×C4—2364no—
1626C2×C4—2364no—
1627C2×C4—2364no—
1628C2×C4—2364no—
1629C2×C4—2364no—
1630C2×C4C2×D4×D5912yes—
1631C2×C4C2×D4×D5912yes—
1632C2×C4C2×D4×D5912yes—
1633C2×C4#41×D5912yes—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—594no—
1648C22—1182no—
1649C22—1182no—
1650C22—1182no—
1651C22—1182no—
1652C22—1182no—
1653C22—1182no—
1654C22—1182no—
1655C22—1182no—
1656C22—1182no—
1657C22—1182no—
1658C22—1182no—
1659C22—1182no—
1660C22—1182no—
1661C22—1182no—
1662C22—1182no—
1663C22—23616no—
1664C22—23616no—
1665C22—2361no—
1666C22—2361no—
1667C22—2361no—
1668C22—2361no—
1669C22—2361no—
1670C22—2361no—
1671C22—2361no—
1672C22—2361no—
1673C22—2361no—
1674C22—2361no—
1675C22—2361no—
1676C22—2361no—
1677C22#1683799814yescomplemented
1678C22C22×D4×D5911yescharacteristic
1679C22C2×#41×D5911yescharacteristic
1680C22C2×#41×D5911yescharacteristic
1681C22H(5,𝔽2)×D5911yescharacteristic
1682C22C2×#1427377211yescharacteristic
1683C22C2×#1427377511yescharacteristic
1684C22#1683823911yescharacteristic
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—1182no—
1699C4—1182no—
1700C4—1182no—
1701C4—2361no—
1702C4—2361no—
1703C4—2361no—
1704C4—2361no—
1705C4—2361no—
1706C4—2361no—
1707C4—2361no—
1708C4—2361no—
1709C4—2361no—
1710C2—24no—
1711C2—81no—
1712C2—1184no—
1713C2—2362no—
1714C2—2362no—
1715C2—2362no—
1716C2#525×D5911yescharacteristic
1717C2C2×#1683799811yescharacteristic
1718C2#2143750411yescharacteristic
1719C2#2143772411yescharacteristic
1720C2#2143777311yescharacteristic
1721C2#2143803111yescharacteristic
1722C2#2143814111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2449C2
prime radical#21427473C2
hypercenter#2449D59
hypocenterC59#34991
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2449

Complements

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

NH ≅ G/Ntype
1. C2×#16837998C2semidirect
2. C22×#14273689C2semidirect
3. #21432409C2semidirect
4. #21432402C2semidirect
5. #21432387C2semidirect
6. #21432380C2semidirect
7. #21430022C2semidirect
8. #21429994C2semidirect
9. #21429966C2semidirect
10. #21429944C2semidirect
11. #21428344C2semidirect
12. #21428231C2semidirect
13. #21428138C2semidirect
14. #21428089C2semidirect
15. #21428046C2semidirect
16. #21427977C2semidirect
17. #21427898C2semidirect
18. #21427834C2semidirect
19. #21427759C2semidirect
20. #21427642C2semidirect
21. #21427574C2semidirect
22. #21427552C2semidirect
23. #21427491C2semidirect
25. #21427425C2semidirect
26. #21426793C2semidirect
27. #21426760C2semidirect
28. #21426728C2semidirect
29. C4×#14273695C2semidirect
30. #385×D59C2semidirect
31. C59×#2449C2semidirect
36. C2×#14273722C22semidirect
37. C2×#14273720C22semidirect
38. C2×#14273717C22semidirect
39. C2×#14273717C22semidirect
42. C2×#14273710C22semidirect
43. C2×#14273709C22semidirect
44. C2×#14273709C22semidirect
45. C2×#14273709C22semidirect
46. C2×#14273703C22semidirect
47. C2×#14273703C22semidirect
48. C2×#14273703C22semidirect
62. C2×C4×C22⋊D59C22semidirect
63. C2×C4×C22⋊D59C22semidirect
64. C2×C4⋊C4×D59C22semidirect
65. C2×C4⋊C4×D59C22semidirect
71. #16837340C22semidirect
72. #16837337C22semidirect
73. #16837337C22semidirect
74. #16837335C22semidirect
75. #16837333C22semidirect
76. #16837332C22semidirect
77. #16837331C22semidirect
78. #16837331C22semidirect
79. #16837329C22semidirect
80. #16837329C22semidirect
81. #16837328C22semidirect
82. #16837328C22semidirect
83. #16837324C22semidirect
84. #16837324C22semidirect
85. #16837324C22semidirect
92. #16837318C22semidirect
93. #16837317C22semidirect
94. #16837317C22semidirect
95. #16837317C22semidirect
96. #16837313C22semidirect
99. #16837299C22semidirect
100. #16837297C22semidirect
101. #16837297C22semidirect
102. #16837296C22semidirect
103. #16837295C22semidirect
104. #16837294C22semidirect
105. #16837293C22semidirect
106. #16837293C22semidirect
107. #16837292C22semidirect
108. #16837291C22semidirect
109. #16837290C22semidirect
110. #16837289C22semidirect
111. #16837288C22semidirect
112. #16837288C22semidirect
113. #16837287C22semidirect
114. #16837287C22semidirect
115. #16837284C22semidirect
116. #16837284C22semidirect
117. #16837283C22semidirect
118. #16837283C22semidirect
121. #16837281C22semidirect
126. #16837278C22semidirect
127. #16837278C22semidirect
128. #16837278C22semidirect
129. #16837278C22semidirect
130. #16837278C22semidirect
133. #16837276C22semidirect
134. #16837276C22semidirect
135. #16837276C22semidirect
136. #16837276C22semidirect
137. #16837276C22semidirect
144. #16837273C22semidirect
145. #16837273C22semidirect
146. #16837273C22semidirect
147. #16837273C22semidirect
148. #16837273C22semidirect
149. #16837273C22semidirect
150. #16837273C22semidirect
151. #16837273C22semidirect
152. #16837273C22semidirect
153. #16837273C22semidirect
154. #16837269C22semidirect
155. #16837266C22semidirect
156. #16837264C22semidirect
157. #16837264C22semidirect
158. #16837264C22semidirect
162. #16837259C22semidirect
163. #16837259C22semidirect
164. #16837259C22semidirect
169. C4×(C2×D59)⋊C4C22semidirect
170. C4×(C2×D59)⋊C4C22semidirect
172. #95×D59C22semidirect
173. #95×D59C22semidirect
175. C2×C22⋊Q8×C59C22semidirect
178. C59×#399C22semidirect
179. C59×#398C22semidirect
180. C59×#396C22semidirect
181. C59×#395C22semidirect
182. C59×#389C22semidirect
183. C59×#387C22semidirect
188. C59×#385C22semidirect
246. #14273689D4semidirect
786. C22×C59#539semidirect
866. #2449D59semidirect
911. C2×C22⋊Q8C2×D59semidirect
939. #399C2×D59semidirect
943. #398C2×D59semidirect
953. #396C2×D59semidirect
954. #395C2×D59semidirect
971. #389C2×D59semidirect
989. #387C2×D59semidirect
1029. #385C2×D59semidirect
1050. C59#34991semidirect
1677. C22#16837998semidirect

Maximal subgroups

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

subgroupindex
C2×#168379982
C22×#142736892
#214324092
#214324022
#214323872
#214323802
#214300222
#214299942
#214299662
#214299442
#214283442
#214282312
#214281382
#214280892
#214280462
#214279772
#214278982
#214278342
#214277592
#214276422
#214275742
#214275522
#214274912
#214274732
#214274252
#214267932
#214267602
#214267282
C4×#142736952
#385×D592
C59×#24492
#3499159