Finite Group Databasebeta

← #28752069

Subgroups — #28752069

Order 15104.

2890 conjugacy classes of subgroups.

The subgroup lattice has 1764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837960C211yesmaximal, characteristic
2#21427255C211yesmaximal, characteristic, complemented
3#21427254C211yesmaximal, characteristic, complemented
4#21427243C211yesmaximal, characteristic, complemented
5#21427236C211yesmaximal, characteristic, complemented
6#21427228C211yesmaximal, characteristic, complemented
7#21427132C211yesmaximal, characteristic, complemented
8#21427131C211yesmaximal, characteristic, complemented
9#21427095C211yesmaximal, characteristic, complemented
10#21427089C211yesmaximal, characteristic, complemented
11#21427087C211yesmaximal, characteristic, complemented
12#21427081C211yesmaximal, characteristic, complemented
13#21427078C211yesmaximal, characteristic, complemented
14#21426948C211yesmaximal, characteristic, complemented
15#21426938C211yesmaximal, characteristic, complemented
16#21426917C211yesmaximal, characteristic, complemented
17#21426914C211yesmaximal, characteristic, complemented
18#21426893C211yesmaximal, characteristic, complemented
19#21426888C211yesmaximal, characteristic, complemented
20#21426855C211yesmaximal, characteristic, complemented
21#21426791C211yesmaximal, characteristic, complemented
22#21426786C211yesmaximal, characteristic, complemented
23#21426759C211yesmaximal, characteristic, complemented
24#21426752C211yesmaximal, characteristic, complemented
25#21426752C211yesmaximal, characteristic, complemented
26#21426749C211yesmaximal, characteristic, complemented
27#21426675C211yesmaximal, characteristic, complemented
28#21426601C211yesmaximal, characteristic, complemented
29C4×#14273697C211yesmaximal, characteristic, complemented
30#386×D59C211yesmaximal, characteristic, complemented
31C59×#2333C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C22×D4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic, complemented
35#16837960C4116yescomplemented
36C2×#14273712C2211yescharacteristic
37C2×#14273712C2211yescharacteristic
38C2×#14273709C2211yescharacteristic
39C2×#14273709C2211yescharacteristic
40C2×#14273701C2211yescharacteristic
41C2×#14273699C2211yescharacteristic
42C2×#14273699C2211yescharacteristic
43C2×#14273697C2211yescharacteristic
44C2×#14273697C2211yescharacteristic
45C2×#14273695C2211yescharacteristic
46C2×#14273695C2211yescharacteristic
47C2×C4×D236C2211yescharacteristic
48C2×C4×D236C2211yescharacteristic, complemented
49C2×D4×Dic59C2211yescharacteristic, complemented
50C2×#14273689C2211yescharacteristic
51C2×C4×C22⋊D59C2211yescharacteristic
52C2×C4×C22⋊D59C2211yescharacteristic, complemented
53C2×(C22⋊D59)⋊C4C2211yescharacteristic
54C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
55C2×#14273686C2211yescharacteristic, complemented
56C2×#14273685C2211yescharacteristic, complemented
57C2×#14273684C2211yescharacteristic, complemented
58C2×#14273683C2211yescharacteristic, complemented
59C22×(C2×D59)⋊C4C2211yescharacteristic
60C22×(C2×D59)⋊C4C2211yescharacteristic, complemented
61C2×C22⋊C4×D59C2211yescharacteristic
62C2×C22⋊C4×D59C2211yescharacteristic
63C2×C22⋊C4×D59C2211yescharacteristic, complemented
64C2×C22⋊C4×D59C2211yescharacteristic, complemented
65#16837305C2211yescharacteristic, complemented
66#16837305C2211yescharacteristic, complemented
67#16837305C2211yescharacteristic, complemented
68#16837304C2211yescharacteristic
69#16837304C2211yescharacteristic, complemented
70#16837303C2211yescharacteristic
71#16837302C2211yescharacteristic
72#16837302C2211yescharacteristic
73#16837302C2211yescharacteristic, complemented
74#16837302C2211yescharacteristic, complemented
75#16837302C2211yescharacteristic, complemented
76#16837302C2211yescharacteristic, complemented
77#16837302C2211yescharacteristic, complemented
78#16837302C2211yescharacteristic, complemented
79#16837301C2211yescharacteristic, complemented
80#16837300C2211yescharacteristic, complemented
81#16837299C2211yescharacteristic, complemented
82#16837297C2211yescharacteristic, complemented
83#16837295C2211yescharacteristic, complemented
84#16837295C2211yescharacteristic, complemented
85#16837294C2211yescharacteristic, complemented
86#16837294C2211yescharacteristic, complemented
87#16837294C2211yescharacteristic, complemented
88#16837294C2211yescharacteristic, complemented
89#16837294C2211yescharacteristic, complemented
90#16837294C2211yescharacteristic, complemented
91#16837293C2211yescharacteristic, complemented
92#16837293C2211yescharacteristic, complemented
93#16837292C2211yescharacteristic, complemented
94#16837292C2211yescharacteristic, complemented
95#16837291C2211yescharacteristic, complemented
96#16837291C2211yescharacteristic, complemented
97#16837291C2211yescharacteristic, complemented
98#16837291C2211yescharacteristic, complemented
99#16837291C2211yescharacteristic, complemented
100#16837291C2211yescharacteristic, complemented
101#16837290C2211yescharacteristic, complemented
102#16837290C2211yescharacteristic, complemented
103#16837290C2211yescharacteristic, complemented
104#16837290C2211yescharacteristic, complemented
105#16837289C2211yescharacteristic, complemented
106#16837286C2211yescharacteristic, complemented
107#16837285C2211yescharacteristic, complemented
108#16837285C2211yescharacteristic, complemented
109#16837284C2211yescharacteristic, complemented
110#16837283C2211yescharacteristic, complemented
111#16837282C2211yescharacteristic, complemented
112#16837282C2211yescharacteristic, complemented
113#16837281C2211yescharacteristic
114#16837281C2211yescharacteristic, complemented
115#16837280C2211yescharacteristic
116#16837280C2211yescharacteristic
117#16837280C2211yescharacteristic
118#16837280C2211yescharacteristic
119#16837280C2211yescharacteristic, complemented
120#16837280C2211yescharacteristic, complemented
121#16837279C2211yescharacteristic
122#16837279C2211yescharacteristic, complemented
123#16837278C2211yescharacteristic
124#16837278C2211yescharacteristic
125#16837278C2211yescharacteristic, complemented
126#16837278C2211yescharacteristic, complemented
127#16837278C2211yescharacteristic, complemented
128#16837278C2211yescharacteristic, complemented
129#16837278C2211yescharacteristic, complemented
130#16837278C2211yescharacteristic, complemented
131#16837277C2211yescharacteristic, complemented
132#16837277C2211yescharacteristic, complemented
133#16837276C2211yescharacteristic, complemented
134#16837276C2211yescharacteristic, complemented
135#16837276C2211yescharacteristic, complemented
136#16837276C2211yescharacteristic, complemented
137#16837276C2211yescharacteristic, complemented
138#16837276C2211yescharacteristic, complemented
139#16837276C2211yescharacteristic, complemented
140#16837276C2211yescharacteristic, complemented
141#16837275C2211yescharacteristic, complemented
142#16837275C2211yescharacteristic, complemented
143#16837263C2211yescharacteristic, complemented
144#16837262C2211yescharacteristic, complemented
145#16837261C2211yescharacteristic, complemented
146#16837260C2211yescharacteristic, complemented
147#16837259C2211yescharacteristic, complemented
148#16837257C2211yescharacteristic
149#16837257C2211yescharacteristic
150#16837257C2211yescharacteristic, complemented
151#16837257C2211yescharacteristic, complemented
152#16837257C2211yescharacteristic, complemented
153#16837257C2211yescharacteristic, complemented
154C4⋊C4×Dic59C2211yescharacteristic, complemented
155C4×Dic59⋊C4C2211yescharacteristic, complemented
156C4×C4⋊Dic59C2211yescharacteristic, complemented
157#16837253C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic, complemented
159C22⋊C4×Dic59C2211yescharacteristic, complemented
160C22⋊C4×Dic59C2211yescharacteristic, complemented
161C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
162C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
163C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
164C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
165C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
166#16837249C2211yescharacteristic, complemented
167#16837249C2211yescharacteristic, complemented
168#16837249C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#95×D59C2211yescharacteristic, complemented
172#95×D59C2211yescharacteristic, complemented
173C2×#121×C59C2211yescharacteristic
174C59×#390C2211yescharacteristic, complemented
175C59×#390C2211yescharacteristic, complemented
176C59×#388C2211yescharacteristic, complemented
177C59×#388C2211yescharacteristic, complemented
178C59×#387C2211yescharacteristic, complemented
179C59×#387C2211yescharacteristic, complemented
180C59×#386C2211yescharacteristic, complemented
181C59×#386C2211yescharacteristic, complemented
182C59×#386C2211yescharacteristic, complemented
183C59×#386C2211yescharacteristic, complemented
184C59×#381C2211yescharacteristic, complemented
185C4×C22⋊C4×C59C2211yescharacteristic, complemented
186C4×C22⋊C4×C59C2211yescharacteristic, complemented
187C4×C22⋊C4×C59C2211yescharacteristic, complemented
188C24×D59C2311yescharacteristic
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×D236C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C2×D4×D59—42no—
201C2×D4×D59—42no—
202C2×D4×D59—42no—
203C2×D4×D59—42no—
204C2×D4×D59C2×C418yescomplemented
205C2×D4×D59C2×C418yescomplemented
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C22×C4×D59—42no—
210C22×C4×D59—42no—
211C22×C4×D59—42no—
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#14273712C2×C418yescomplemented
223#14273712C2×C418yescomplemented
224#14273709C2×C418yescomplemented
225#14273709C2×C418yescomplemented
226#14273701C2×C418yescomplemented
227#14273699C2×C418yescomplemented
228#14273699C2×C418yescomplemented
229#14273697C2×C418yescomplemented
230#14273697C2×C418yescomplemented
231#14273695C2×C418yescomplemented
232#14273695C2×C418yescomplemented
233C4×D236—42no—
234C4×D236—42no—
235D4×Dic59—42no—
236#14273689—42no—
237C4×C22⋊D59—42no—
238C4×C22⋊D59—42no—
239(C22⋊D59)⋊C4—42no—
240(C22⋊D59)⋊C4—42no—
241#14273686—42no—
242#14273685—42no—
243#14273684—42no—
244#14273683—42no—
245C2×C4⋊Dic59C2311yescharacteristic
246C2×C4⋊Dic59C2311yescharacteristic
247C2×C4⋊Dic59C2311yescharacteristic
248C2×C4⋊Dic59C2311yescharacteristic
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
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×C22⋊Dic59C2311yescharacteristic
263C2×C22⋊Dic59C2311yescharacteristic
264C2×C22⋊Dic59C2311yescharacteristic
265C2×C22⋊Dic59C2311yescharacteristic
266C2×C22⋊Dic59C2311yescharacteristic
267C2×C22⋊Dic59C2311yescharacteristic
268C2×C22⋊Dic59C2311yescharacteristic
269C2×C22⋊Dic59C2311yescharacteristic
270C2×C22⋊Dic59C2311yescharacteristic
271C2×C22⋊Dic59C2311yescharacteristic
272C2×C22⋊Dic59C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×(C2×D59)⋊C4—42no—
275C2×(C2×D59)⋊C4C2×C418yescomplemented
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
302C2×(C2×D59)⋊C4C2311yescharacteristic
303C2×(C2×D59)⋊C4C2311yescharacteristic
304C2×(C2×D59)⋊C4C2311yescharacteristic
305C2×(C2×D59)⋊C4C2311yescharacteristic
306C2×(C2×D59)⋊C4C2311yescharacteristic
307C2×(C2×D59)⋊C4C2311yescharacteristic
308C22⋊C4×D59—42no—
309C22⋊C4×D59—42no—
310C22⋊C4×D59—42no—
311C22⋊C4×D59—42no—
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
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
346C22×D4×C59C2311yescharacteristic
347C22×D4×C59C2311yescharacteristic
348C22×D4×C59C2311yescharacteristic
349C23×C4×C59C2311yescharacteristic
350C23×C4×C59C2311yescharacteristic
351C23×C4×C59C2311yescharacteristic
352#121×C59C2×C418yescomplemented
353C2×C4⋊C4×C59C2311yescharacteristic
354C2×C4⋊C4×C59C2311yescharacteristic
355C2×C4⋊C4×C59C2311yescharacteristic
356C2×C22⋊C4×C59C2311yescharacteristic
357C2×C22⋊C4×C59C2311yescharacteristic
358C2×C22⋊C4×C59C2311yescharacteristic
359C2×C22⋊C4×C59C2311yescharacteristic
360C2×C22⋊C4×C59C2311yescharacteristic
361C2×C22⋊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×C42×C59C2311yescharacteristic
369C2×C42×C59C2311yescharacteristic
370C2×C42×C59C2311yescharacteristic
371C2×C42×C59C2311yescharacteristic
372#95×C59C2311yescharacteristic
373#95×C59C2311yescharacteristic
374#95×C59C2311yescharacteristic
375#95×C59C2311yescharacteristic
376#95×C59C2311yescharacteristic
377#95×C59C2311yescharacteristic
378#95×C59C2311yescharacteristic
379#95×C59C2311yescharacteristic
380#95×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382C24×C59C2411yescharacteristic
383C24×C59C2411yescharacteristic
384C24×C59C2411yescharacteristic
385C23×D59—22no—
386C23×D59—22no—
387C23×D59—22no—
388C23×D59—22no—
389C23×D59—41no—
390C23×D59—41no—
391C23×D59—41no—
392C23×D59—41no—
393C23×D59—41no—
394C23×D59—41no—
395C23×D59—41no—
396C23×D59—41no—
397C23×D59—41no—
398C23×D59—41no—
399C23×D59—41no—
400C23×D59—41no—
401C23×D59—41no—
402C23×D59—41no—
403C23×D59C22×C414yes—
404C23×D59C22×C414yes—
405C23×D59C22×C414yescomplemented
406C23×D59C2411yescharacteristic
407C23×D59C2411yescharacteristic
408C23×D59C2411yescharacteristic
409C23×D59C2411yescharacteristic
410C2×D4×C59—41no—
411C2×D4×C59—41no—
412C2×D4×C59—41no—
413C2×D4×C59—41no—
414C2×D4×C59—41no—
415C2×D4×C59—41no—
416C2×D4×C59C22×C414yes—
417C2×D4×C59C22×C414yes—
418C2×D4×C59C22×C414yescomplemented
419C22×C4×C59—22no—
420C22×C4×C59—41no—
421C22×C4×C59—41no—
422C22×C4×C59—41no—
423C22×C4×C59—41no—
424C22×C4×C59—41no—
425C22×C4×C59—41no—
426C22×C4×C59—41no—
427C22×C4×C59C22×C414yescomplemented
428C22×C4×C59C2411yescharacteristic
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
440C2×C22⋊D59—22no—
441C2×C22⋊D59—22no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59—41no—
444C2×C22⋊D59—41no—
445C2×C22⋊D59—41no—
446C2×C22⋊D59—41no—
447C2×C22⋊D59—41no—
448C2×C22⋊D59—41no—
449C2×C22⋊D59—41no—
450C2×C22⋊D59—41no—
451C2×C22⋊D59—41no—
452C2×C22⋊D59C22×C414yes—
453C2×C22⋊D59C22×C414yes—
454C2×C22⋊D59C22×C414yes—
455C2×C22⋊D59C22×C414yes—
456C2×C22⋊D59C22×C414yes—
457C2×C22⋊D59C22×C414yescomplemented
458C22×Dic59—22no—
459C22×Dic59—22no—
460C22×Dic59—41no—
461C22×Dic59—41no—
462C22×Dic59—41no—
463C22×Dic59—41no—
464C22×Dic59—41no—
465C22×Dic59—41no—
466C22×Dic59C22×C414yescomplemented
467C22×Dic59C2411yescharacteristic
468C22×Dic59C2411yescharacteristic
469C22×Dic59C2411yescharacteristic
470C22×Dic59C2411yescharacteristic
471C22×Dic59C2411yescharacteristic
472C22×Dic59C2411yescharacteristic
473C22×Dic59C2411yescharacteristic
474C22×Dic59C2411yescharacteristic
475C22×Dic59C2411yescharacteristic
476C22×Dic59C2411yescharacteristic
477C22×Dic59C2411yescharacteristic
478C22×Dic59C2411yescharacteristic
479D4×D59—416no—
480D4×D59—416no—
481C2×D236—22no—
482C2×D236—22no—
483C2×D236—41no—
484C2×D236—41no—
485C2×D236—41no—
486C2×D236—41no—
487C2×D236C22×C414yes—
488C2×D236C22×C414yes—
489C2×D236C22×C414yes—
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—416no—
510C2×C4×D59—41no—
511C2×C4×D59—41no—
512C2×C4×D59—41no—
513C2×C4×D59—41no—
514C2×C4×D59—41no—
515C2×C4×D59—41no—
516C2×C4×D59—41no—
517C2×C4×D59—41no—
518C2×C4×D59—41no—
519C2×C4×D59C22×C414yes—
520C2×C4×D59C22×C414yescomplemented
521C4⋊C4×C59—41no—
522C4⋊C4×C59—41no—
523C4⋊C4×C59C22×C414yescomplemented
524C22⋊C4×C59—22no—
525C22⋊C4×C59—22no—
526C22⋊C4×C59—41no—
527C22⋊C4×C59—41no—
528C22⋊C4×C59—41no—
529C22⋊C4×C59—41no—
530C22⋊C4×C59—41no—
531C22⋊C4×C59—41no—
532C22⋊C4×C59—41no—
533C22⋊C4×C59—41no—
534C22⋊C4×C59C22×C414yes—
535C22⋊C4×C59C22×C414yescomplemented
536C42×C59—41no—
537C42×C59—41no—
538C42×C59—41no—
539C42×C59—41no—
540C22⋊Dic59—22no—
541C22⋊Dic59—41no—
542C22⋊Dic59—41no—
543C22⋊Dic59—41no—
544C22⋊Dic59—41no—
545C22⋊Dic59—41no—
546C22⋊Dic59—41no—
547C22⋊Dic59—41no—
548C22⋊Dic59—41no—
549C22⋊Dic59—41no—
550C22⋊Dic59C22×C414yes—
551C22⋊Dic59C22×C414yescomplemented
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—41no—
560(C2×D59)⋊C4—41no—
561(C2×D59)⋊C4—41no—
562(C2×D59)⋊C4—41no—
563(C2×D59)⋊C4—41no—
564(C2×D59)⋊C4—41no—
565(C2×D59)⋊C4—41no—
566(C2×D59)⋊C4—41no—
567(C2×D59)⋊C4—41no—
568(C2×D59)⋊C4—41no—
569(C2×D59)⋊C4—41no—
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)⋊C4C22×C414yes—
577(C2×D59)⋊C4C22×C414yes—
578(C2×D59)⋊C4C22×C414yes—
579(C2×D59)⋊C4C22×C414yes—
580(C2×D59)⋊C4C22×C414yescomplemented
581(C2×D59)⋊C4C22×C414yescomplemented
582(C2×D59)⋊C4C22×C414yescomplemented
583(C2×D59)⋊C4C22×C414yescomplemented
584C4⋊Dic59—22no—
585C4⋊Dic59—41no—
586C4⋊Dic59—41no—
587C4⋊Dic59—41no—
588C4⋊Dic59—41no—
589C4⋊Dic59—41no—
590C4⋊Dic59C22×C414yescomplemented
591Dic59⋊C4—22no—
592Dic59⋊C4—41no—
593Dic59⋊C4—41no—
594Dic59⋊C4—41no—
595Dic59⋊C4—41no—
596Dic59⋊C4—41no—
597Dic59⋊C4—41no—
598Dic59⋊C4—41no—
599Dic59⋊C4C22×C414yescomplemented
600Dic59⋊C4C22×C414yescomplemented
601C4×Dic59—22no—
602C4×Dic59—22no—
603C4×Dic59—41no—
604C4×Dic59—41no—
605C4×Dic59—41no—
606C4×Dic59—41no—
607C4×Dic59—41no—
608C4×Dic59—41no—
609C4×Dic59—41no—
610C4×Dic59—41no—
611C4×Dic59—41no—
612C4×Dic59—41no—
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×C59—21no—
624C23×C59—21no—
625C23×C59—21no—
626C23×C59—21no—
627C23×C59—21no—
628C23×C59—21no—
629C23×C59—21no—
630C23×C59—21no—
631C23×C59C23×C412yes—
632C23×C59C23×C412yes—
633C23×C59C23×C412yes—
634C23×C59C2511yescharacteristic
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—21no—
652C22×D59—21no—
653C22×D59—21no—
654C22×D59—21no—
655C22×D59—21no—
656C22×D59—21no—
657C22×D59—28no—
658C22×D59—28no—
659C22×D59—44no—
660C22×D59—44no—
661C22×D59—44no—
662C22×D59—44no—
663C22×D59—44no—
664C22×D59—44no—
665C22×D59—44no—
666C22×D59—44no—
667C22×D59—44no—
668C22×D59—44no—
669C22×D59—44no—
670C22×D59—82no—
671C22×D59—82no—
672C22×D59—82no—
673C22×D59—82no—
674C22×D59—82no—
675C22×D59—82no—
676C22×D59—82no—
677C22×D59—82no—
678C22×D59C23×C412yes—
679C22×D59C23×C412yes—
680C22×D59C23×C412yes—
681C22×D59C23×C412yes—
682C22×D59H(5,𝔽2)12yes—
683C22×D59H(5,𝔽2)12yes—
684D4×C59—44no—
685D4×C59—44no—
686D4×C59—44no—
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—21no—
708C2×C4×C59—21no—
709C2×C4×C59—21no—
710C2×C4×C59—21no—
711C2×C4×C59—21no—
712C2×C4×C59—21no—
713C2×C4×C59—21no—
714C2×C4×C59—21no—
715C2×C4×C59—21no—
716C2×C4×C59—21no—
717C2×C4×C59—21no—
718C2×C4×C59—44no—
719C2×C4×C59—44no—
720C2×C4×C59—82no—
721C2×C4×C59C23×C412yes—
722C2×C4×C59C23×C412yes—
723C2×C4×C59C23×C412yes—
724C2×C4×C59C23×C412yes—
725C2×C4×C59H(5,𝔽2)12yes—
726C22⋊D59—28no—
727C22⋊D59—44no—
728C22⋊D59—44no—
729C22⋊D59—44no—
730C22⋊D59—44no—
731C22⋊D59—44no—
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—21no—
753C2×Dic59—21no—
754C2×Dic59—21no—
755C2×Dic59—21no—
756C2×Dic59—21no—
757C2×Dic59—21no—
758C2×Dic59—21no—
759C2×Dic59—21no—
760C2×Dic59—21no—
761C2×Dic59—21no—
762C2×Dic59—21no—
763C2×Dic59—44no—
764C2×Dic59—44no—
765C2×Dic59—82no—
766C2×Dic59C23×C412yes—
767C2×Dic59C23×C412yes—
768C2×Dic59C23×C412yes—
769C2×Dic59C23×C412yes—
770C2×Dic59H(5,𝔽2)12yes—
771D236—28no—
772D236—44no—
773D236—44no—
774C4×D59—28no—
775C4×D59—44no—
776C4×D59—44no—
777C4×D59—44no—
778C4×D59—44no—
779C4×D59—44no—
780C4×D59—82no—
781C4×D59—82no—
782C4×D59—82no—
783C4×D59—82no—
784#34407—591nomaximal, Sylow
785C22×C59—22no—
786C22×C59—22no—
787C22×C59—22no—
788C22×C59—22no—
789C22×C59—22no—
790C22×C59—22no—
791C22×C59—22no—
792C22×C59—22no—
793C22×C59—22no—
794C22×C59—41no—
795C22×C59—41no—
796C22×C59—41no—
797C22×C59—41no—
798C22×C59—41no—
799C22×C59—41no—
800C22×C59—41no—
801C22×C59—41no—
802C22×C59—41no—
803C22×C59—41no—
804C22×C59—41no—
805C22×C59—41no—
806C22×C59C24×C411yescharacteristic
807C22×C59C2×H(5,𝔽2)11yescharacteristic
808C22×C59C2×H(5,𝔽2)11yescharacteristic
809C22×C59C2×H(5,𝔽2)11yescharacteristic
810C22×C59C2×H(5,𝔽2)11yescharacteristic
811C22×C59#58511yescharacteristic
812C22×C59#58511yescharacteristic
813C2×D59—22no—
814C2×D59—22no—
815C2×D59—22no—
816C2×D59—22no—
817C2×D59—22no—
818C2×D59—22no—
819C2×D59—22no—
820C2×D59—22no—
821C2×D59—22no—
822C2×D59—22no—
823C2×D59—22no—
824C2×D59—22no—
825C2×D59—22no—
826C2×D59—22no—
827C2×D59—22no—
828C2×D59—416no—
829C2×D59—41no—
830C2×D59—41no—
831C2×D59—41no—
832C2×D59—41no—
833C2×D59—41no—
834C2×D59—41no—
835C2×D59—41no—
836C2×D59—41no—
837C2×D59—41no—
838C2×D59—41no—
839C2×D59—41no—
840C2×D59—41no—
841C2×D59—88no—
842C2×D59—88no—
843C2×D59#51814yes—
844C4×C59—22no—
845C4×C59—22no—
846C4×C59—22no—
847C4×C59—22no—
848C4×C59—22no—
849C4×C59—41no—
850C4×C59—41no—
851C4×C59—41no—
852C4×C59—41no—
853C4×C59—41no—
854C4×C59—41no—
855C4×C59—41no—
856Dic59—22no—
857Dic59—22no—
858Dic59—22no—
859Dic59—22no—
860Dic59—22no—
861Dic59—41no—
862Dic59—41no—
863Dic59—41no—
864Dic59—41no—
865Dic59—41no—
866Dic59—41no—
867Dic59—41no—
868C2×#534—591no—
869#2377—591no—
870#2377—591no—
871#2376—591no—
872#2375—591no—
873#2374—591no—
874#2363—591no—
875#2363—591no—
876#2359—591no—
877#2359—591no—
878#2359—591no—
879#2359—591no—
880#2358—591no—
881#2342—591no—
882#2342—591no—
883D4×C22⋊C4—591no—
884D4×C22⋊C4—591no—
885#2335—591no—
886#2335—591no—
887#2333—591no—
888#2333D5911yescharacteristic, complemented
889#2324—591no—
890#2324—591no—
891#2321—591no—
892#2321—591no—
893#2321—591no—
894#2321—591no—
895#2309—591no—
896C4×#120—591no—
897C4×#120—591no—
898C2×#386—591no—
899C2×C59—42no—
900C2×C59—42no—
901C2×C59—42no—
902C2×C59C2×#51811yescharacteristic
903C2×C59C4×H(5,𝔽2)11yescharacteristic
904C2×C59C4×H(5,𝔽2)11yescharacteristic
905C2×C59#353211yescharacteristic
906C2×C59#353311yescharacteristic
907C2×C59#354211yescharacteristic
908C2×C59#354211yescharacteristic
909D59—24no—
910D59—42no—
911D59—42no—
912D59—42no—
913C23×D4—591no—
914C23×D4—591no—
915C24×C4—591no—
916#534—5916no—
917C2×#123—591no—
918C2×#123—591no—
919C2×#123—591no—
920C2×#123—591no—
921C2×#121—591no—
922C2×#121—591no—
923C2×#121—591no—
924C2×#121C2×D5911yescharacteristic
925C2×#120—591no—
926C2×#120—591no—
927C2×#120—591no—
928C2×#120—591no—
929C2×C4×D4—591no—
930C2×C4×D4—591no—
931C2×C4×D4—591no—
932C2×C4×D4—591no—
933C2×C4×D4—591no—
934C2×C4×D4—591no—
935C2×C4×D4—591no—
936C2×C4×D4—591no—
937C2×#117—591no—
938C2×#117—591no—
939C2×#117—591no—
940C2×#117—591no—
941C22×C22⋊C4—591no—
942C22×C22⋊C4—591no—
943C22×C22⋊C4—591no—
944C22×C22⋊C4—591no—
945C22×C22⋊C4—591no—
946C22×C22⋊C4—591no—
947#390—591no—
948#390—591no—
949#390—591no—
950#390—591no—
951#390—591no—
952#390—591no—
953#390—591no—
954#390—591no—
955#390—591no—
956#390—591no—
957#390—591no—
958#390—591no—
959#390—591no—
960#390—591no—
961#390C2×D5911yescharacteristic, complemented
962#390C2×D5911yescharacteristic, complemented
963#389—591no—
964#389—591no—
965#389—591no—
966#389—591no—
967#388—591no—
968#388—591no—
969#388—591no—
970#388—591no—
971#388—591no—
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#388—591no—
981#388—591no—
982#388—591no—
983#388—591no—
984#388—591no—
985#388—591no—
986#388—591no—
987#388—591no—
988#388—591no—
989#388C2×D5911yescharacteristic, complemented
990#388C2×D5911yescharacteristic, complemented
991#387—591no—
992#387—591no—
993#387—591no—
994#387—591no—
995#387—591no—
996#387—591no—
997#387C2×D5911yescharacteristic, complemented
998#387C2×D5911yescharacteristic, complemented
999#386—591no—
1000#386—591no—
1001#386—591no—
1002#386—591no—
1003#386—591no—
1004#386—591no—
1005#386—591no—
1006#386—591no—
1007#386—591no—
1008#386—591no—
1009#386—591no—
1010#386—591no—
1011#386—591no—
1012#386—591no—
1013#386—591no—
1014#386—591no—
1015#386—591no—
1016#386—591no—
1017#386—591no—
1018#386—591no—
1019#386C2×D5911yescharacteristic, complemented
1020#386C2×D5911yescharacteristic, complemented
1021#386C2×D5911yescharacteristic, complemented
1022#386C2×D5911yescharacteristic, complemented
1023#385—591no—
1024#385—591no—
1025#385—591no—
1026#385—591no—
1027#385—591no—
1028#385—591no—
1029#385—591no—
1030#385—591no—
1031#385—591no—
1032#385—591no—
1033#385—591no—
1034#385—591no—
1035#381—591no—
1036#381C2×D5911yescharacteristic, complemented
1037#380—591no—
1038#380—591no—
1039#380—591no—
1040#380—591no—
1041#379—591no—
1042#379—591no—
1043#379—591no—
1044#379—591no—
1045#379—591no—
1046#379—591no—
1047C4×C4⋊C4—591no—
1048C4×C4⋊C4—591no—
1049C4×C4⋊C4—591no—
1050C4×C4⋊C4—591no—
1051C4×C22⋊C4—591no—
1052C4×C22⋊C4—591no—
1053C4×C22⋊C4—591no—
1054C4×C22⋊C4—591no—
1055C4×C22⋊C4—591no—
1056C4×C22⋊C4—591no—
1057C4×C22⋊C4—591no—
1058C4×C22⋊C4—591no—
1059C4×C22⋊C4—591no—
1060C4×C22⋊C4—591no—
1061C4×C22⋊C4—591no—
1062C4×C22⋊C4—591no—
1063C4×C22⋊C4—591no—
1064C4×C22⋊C4C2×D5911yescharacteristic, complemented
1065C4×C22⋊C4C2×D5911yescharacteristic, complemented
1066C4×C22⋊C4C2×D5911yescharacteristic, complemented
1067C2×#95—591no—
1068C2×#95—591no—
1069C59#3440711yescharacteristic, complemented, Sylow
1070C25—591no—
1071C25—591no—
1072C25—591no—
1073C22×D4—591no—
1074C22×D4—591no—
1075C22×D4—591no—
1076C22×D4—591no—
1077C22×D4—591no—
1078C22×D4—591no—
1079C22×D4—598no—
1080C22×D4—598no—
1081C22×D4—591no—
1082C22×D4—591no—
1083C22×D4—591no—
1084C22×D4—2362no—
1085C22×D4—2362no—
1086C22×D4—2362no—
1087C22×D4—2362no—
1088C22×D4C22×D5911yescharacteristic
1089C22×D4C22×D5911yescharacteristic
1090C22×D4C22×D5911yescharacteristic
1091C23×C4—591no—
1092C23×C4—591no—
1093C23×C4—591no—
1094C23×C4—591no—
1095C23×C4—591no—
1096C23×C4—591no—
1097C23×C4—591no—
1098C23×C4—591no—
1099C23×C4—591no—
1100C23×C4—591no—
1101C23×C4—591no—
1102C23×C4—591no—
1103C23×C4—591no—
1104C23×C4—2362no—
1105C23×C4—2362no—
1106C23×C4—2362no—
1107C23×C4C22×D5911yescharacteristic
1108C23×C4C22×D5911yescharacteristic
1109C23×C4C22×D5911yescharacteristic
1110#123—598no—
1111#123—598no—
1112#123—598no—
1113#123—598no—
1114#121—598no—
1115#121—598no—
1116#121—598no—
1117#121C4×D5918yescomplemented
1118#120—598no—
1119#120—598no—
1120#120—598no—
1121#120—598no—
1122C4×D4—2362no—
1123C4×D4—2362no—
1124C4×D4—2362no—
1125C4×D4—2362no—
1126C4×D4—2362no—
1127C4×D4—2362no—
1128C4×D4—2362no—
1129C4×D4—2362no—
1130#117—2362no—
1131#117—2362no—
1132#117—2362no—
1133#117—2362no—
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—591no—
1144C2×C4⋊C4—591no—
1145C2×C4⋊C4—591no—
1146C2×C4⋊C4—591no—
1147C2×C4⋊C4—591no—
1148C2×C4⋊C4—591no—
1149C2×C4⋊C4—591no—
1150C2×C4⋊C4—591no—
1151C2×C4⋊C4C22×D5911yescharacteristic
1152C2×C4⋊C4C22×D5911yescharacteristic
1153C2×C4⋊C4C22×D5911yescharacteristic
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—598no—
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—591no—
1198C2×C22⋊C4—591no—
1199C2×C22⋊C4—2362no—
1200C2×C22⋊C4—2362no—
1201C2×C22⋊C4—2362no—
1202C2×C22⋊C4—2362no—
1203C2×C22⋊C4—2362no—
1204C2×C22⋊C4C22×D5911yescharacteristic
1205C2×C22⋊C4C22×D5911yescharacteristic
1206C2×C22⋊C4C22×D5911yescharacteristic
1207C2×C22⋊C4C22×D5911yescharacteristic
1208C2×C22⋊C4C22×D5911yescharacteristic
1209C2×C22⋊C4C22×D5911yescharacteristic
1210C2×C22⋊C4C22×D5911yescharacteristic
1211C2×C22⋊C4C22×D5911yescharacteristic
1212C2×C22⋊C4C22×D5911yescharacteristic
1213C2×C22⋊C4C22×D5911yescharacteristic
1214C2×C22⋊C4C22×D5911yescharacteristic
1215C2×C22⋊C4C22×D5911yescharacteristic
1216C2×C42—591no—
1217C2×C42—591no—
1218C2×C42—591no—
1219C2×C42—591no—
1220C2×C42—591no—
1221C2×C42—591no—
1222C2×C42—591no—
1223C2×C42—591no—
1224C2×C42—591no—
1225C2×C42—591no—
1226C2×C42—591no—
1227C2×C42—591no—
1228C2×C42C22×D5911yescharacteristic
1229C2×C42C22×D5911yescharacteristic
1230C2×C42C22×D5911yescharacteristic
1231C2×C42C22×D5911yescharacteristic
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#95—591no—
1246#95—591no—
1247#95—591no—
1248#95—591no—
1249#95—591no—
1250#95—591no—
1251#95—591no—
1252#95—591no—
1253#95—591no—
1254#95C22×D5911yescharacteristic
1255#95C22×D5911yescharacteristic
1256#95C22×D5911yescharacteristic
1257#95C22×D5911yescharacteristic
1258#95C22×D5911yescharacteristic
1259#95C22×D5911yescharacteristic
1260#95C22×D5911yescharacteristic
1261#95C22×D5911yescharacteristic
1262#95C22×D5911yescharacteristic
1263#95C22×D5911yescharacteristic
1264C24—591no—
1265C24—591no—
1266C24—591no—
1267C24—591no—
1268C24—594no—
1269C24—594no—
1270C24—594no—
1271C24—1182no—
1272C24—1182no—
1273C24—1182no—
1274C24—1182no—
1275C24—2361no—
1276C24—2361no—
1277C24—2361no—
1278C24—2361no—
1279C24—2361no—
1280C24—2361no—
1281C24—2361no—
1282C24—2361no—
1283C24—2361no—
1284C24—2361no—
1285C24—2361no—
1286C24—2361no—
1287C24—2361no—
1288C24—2361no—
1289C24C23×D5911yescharacteristic
1290C24C23×D5911yescharacteristic
1291C24C23×D5911yescharacteristic
1292C2×D4—41no—
1293C2×D4—41no—
1294C2×D4—41no—
1295C2×D4—41no—
1296C2×D4—41no—
1297C2×D4—41no—
1298C2×D4—594no—
1299C2×D4—594no—
1300C2×D4—594no—
1301C2×D4—594no—
1302C2×D4—594no—
1303C2×D4—594no—
1304C2×D4—594no—
1305C2×D4—594no—
1306C2×D4—594no—
1307C2×D4—1182no—
1308C2×D4—1182no—
1309C2×D4—1182no—
1310C2×D4—1182no—
1311C2×D4—2361no—
1312C2×D4—2361no—
1313C2×D4—2361no—
1314C2×D4—2361no—
1315C2×D4—23616no—
1316C2×D4—2361no—
1317C2×D4—2361no—
1318C2×D4—2361no—
1319C2×D4—2361no—
1320C2×D4—2361no—
1321C2×D4—2361no—
1322C2×D4—2361no—
1323C2×D4—2361no—
1324C2×D4—2361no—
1325C2×D4—2361no—
1326C2×D4—23616no—
1327C2×D4C2×C4×D5914yes—
1328C2×D4C2×C4×D5914yes—
1329C2×D4C2×C4×D5914yescomplemented
1330C22×C4—22no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—591no—
1339C22×C4—591no—
1340C22×C4—591no—
1341C22×C4—591no—
1342C22×C4—591no—
1343C22×C4—594no—
1344C22×C4—594no—
1345C22×C4—594no—
1346C22×C4—591no—
1347C22×C4—591no—
1348C22×C4—591no—
1349C22×C4—591no—
1350C22×C4—591no—
1351C22×C4—591no—
1352C22×C4—591no—
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—2361no—
1367C22×C4—2361no—
1368C22×C4—2361no—
1369C22×C4—2361no—
1370C22×C4—2361no—
1371C22×C4—2361no—
1372C22×C4—2361no—
1373C22×C4—2361no—
1374C22×C4—2361no—
1375C22×C4—2361no—
1376C22×C4—2361no—
1377C22×C4—2361no—
1378C22×C4—2361no—
1379C22×C4—2361no—
1380C22×C4—2361no—
1381C22×C4—2361no—
1382C22×C4—2361no—
1383C22×C4—23616no—
1384C22×C4—2361no—
1385C22×C4—2361no—
1386C22×C4—2361no—
1387C22×C4—2361no—
1388C22×C4—2361no—
1389C22×C4—2361no—
1390C22×C4C2×C4×D5914yescomplemented
1391C22×C4C23×D5911yescharacteristic
1392C22×C4C23×D5911yescharacteristic
1393C22×C4C23×D5911yescharacteristic
1394C22×C4C23×D5911yescharacteristic
1395C22×C4C23×D5911yescharacteristic
1396C22×C4C23×D5911yescharacteristic
1397C22×C4C23×D5911yescharacteristic
1398C22×C4C23×D5911yescharacteristic
1399C22×C4C23×D5911yescharacteristic
1400C22×C4C23×D5911yescharacteristic
1401C22×C4C23×D5911yescharacteristic
1402C22×C4C23×D5911yescharacteristic
1403C4⋊C4—41no—
1404C4⋊C4—41no—
1405C4⋊C4—594no—
1406C4⋊C4—594no—
1407C4⋊C4—594no—
1408C4⋊C4—1182no—
1409C4⋊C4—1182no—
1410C4⋊C4—2361no—
1411C4⋊C4—2361no—
1412C4⋊C4—2361no—
1413C4⋊C4—2361no—
1414C4⋊C4—2361no—
1415C4⋊C4—2361no—
1416C4⋊C4—2361no—
1417C4⋊C4—2361no—
1418C4⋊C4—2361no—
1419C4⋊C4—2361no—
1420C4⋊C4—2361no—
1421C4⋊C4—2361no—
1422C4⋊C4C2×C4×D5914yescomplemented
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—41no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—41no—
1429C22⋊C4—41no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—41no—
1433C22⋊C4—594no—
1434C22⋊C4—594no—
1435C22⋊C4—594no—
1436C22⋊C4—594no—
1437C22⋊C4—594no—
1438C22⋊C4—594no—
1439C22⋊C4—594no—
1440C22⋊C4—594no—
1441C22⋊C4—594no—
1442C22⋊C4—594no—
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—2361no—
1452C22⋊C4—2361no—
1453C22⋊C4—2361no—
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—
1467C22⋊C4—2361no—
1468C22⋊C4—2361no—
1469C22⋊C4—2361no—
1470C22⋊C4—2361no—
1471C22⋊C4—2361no—
1472C22⋊C4—2361no—
1473C22⋊C4—2361no—
1474C22⋊C4—2361no—
1475C22⋊C4—2361no—
1476C22⋊C4—2361no—
1477C22⋊C4C2×C4×D5914yes—
1478C22⋊C4C2×C4×D5914yescomplemented
1479C42—41no—
1480C42—41no—
1481C42—41no—
1482C42—41no—
1483C42—1182no—
1484C42—1182no—
1485C42—2361no—
1486C42—2361no—
1487C42—2361no—
1488C42—2361no—
1489C42—2361no—
1490C42—2361no—
1491C42—2361no—
1492C42—2361no—
1493C42—2361no—
1494C42—2361no—
1495C23—21no—
1496C23—21no—
1497C23—21no—
1498C23—21no—
1499C23—21no—
1500C23—21no—
1501C23—21no—
1502C23—21no—
1503C23—21no—
1504C23—21no—
1505C23—21no—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—592no—
1514C23—592no—
1515C23—592no—
1516C23—592no—
1517C23—592no—
1518C23—592no—
1519C23—1188no—
1520C23—1188no—
1521C23—1181no—
1522C23—1181no—
1523C23—1181no—
1524C23—1181no—
1525C23—1181no—
1526C23—1181no—
1527C23—1181no—
1528C23—1181no—
1529C23—1181no—
1530C23—1181no—
1531C23—1181no—
1532C23—1181no—
1533C23—1181no—
1534C23—1181no—
1535C23—1181no—
1536C23—1181no—
1537C23—1181no—
1538C23—1181no—
1539C23—1181no—
1540C23—1181no—
1541C23—1181no—
1542C23—1181no—
1543C23—4722no—
1544C23—4722no—
1545C23—4722no—
1546C23—4722no—
1547C23—4722no—
1548C23—4722no—
1549C23—4722no—
1550C23—4722no—
1551C23—2364no—
1552C23—2364no—
1553C23—2364no—
1554C23—2364no—
1555C23—2364no—
1556C23—2364no—
1557C23—2364no—
1558C23—2364no—
1559C23—2364no—
1560C23—2364no—
1561C23—2364no—
1562C23C22×C4×D5912yes—
1563C23C22×C4×D5912yes—
1564C23C22×C4×D5912yes—
1565C23C24×D5911yescharacteristic
1566D4—44no—
1567D4—44no—
1568D4—44no—
1569D4—1188no—
1570D4—1188no—
1571D4—2364no—
1572D4—2364no—
1573D4—2364no—
1574D4—2364no—
1575D4—2364no—
1576D4—2364no—
1577D4—2364no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—44no—
1610C2×C4—44no—
1611C2×C4—82no—
1612C2×C4—592no—
1613C2×C4—592no—
1614C2×C4—592no—
1615C2×C4—592no—
1616C2×C4—592no—
1617C2×C4—1188no—
1618C2×C4—1181no—
1619C2×C4—1181no—
1620C2×C4—1181no—
1621C2×C4—1181no—
1622C2×C4—1181no—
1623C2×C4—1181no—
1624C2×C4—1181no—
1625C2×C4—1181no—
1626C2×C4—1181no—
1627C2×C4—1181no—
1628C2×C4—1181no—
1629C2×C4—1181no—
1630C2×C4—1181no—
1631C2×C4—1181no—
1632C2×C4—1181no—
1633C2×C4—1181no—
1634C2×C4—1181no—
1635C2×C4—1181no—
1636C2×C4—1181no—
1637C2×C4—1181no—
1638C2×C4—1181no—
1639C2×C4—1181no—
1640C2×C4—1181no—
1641C2×C4—1181no—
1642C2×C4—1181no—
1643C2×C4—1181no—
1644C2×C4—1181no—
1645C2×C4—1181no—
1646C2×C4—1181no—
1647C2×C4—1181no—
1648C2×C4—1181no—
1649C2×C4—4722no—
1650C2×C4—4722no—
1651C2×C4—4722no—
1652C2×C4—4722no—
1653C2×C4—4722no—
1654C2×C4—2364no—
1655C2×C4—2364no—
1656C2×C4—2364no—
1657C2×C4—2364no—
1658C2×C4—2364no—
1659C2×C4—2364no—
1660C2×C4—2364no—
1661C2×C4C22×C4×D5912yes—
1662C2×C4C22×C4×D5912yes—
1663C2×C4C22×C4×D5912yes—
1664C2×C4C22×C4×D5912yes—
1665C2×C4#1427377312yes—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—22no—
1672C22—22no—
1673C22—22no—
1674C22—22no—
1675C22—41no—
1676C22—41no—
1677C22—41no—
1678C22—41no—
1679C22—41no—
1680C22—41no—
1681C22—41no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—594no—
1688C22—1182no—
1689C22—1182no—
1690C22—1182no—
1691C22—1182no—
1692C22—1182no—
1693C22—1182no—
1694C22—1182no—
1695C22—1182no—
1696C22—1182no—
1697C22—1182no—
1698C22—1182no—
1699C22—1182no—
1700C22—1182no—
1701C22—1182no—
1702C22—1182no—
1703C22—4728no—
1704C22—4728no—
1705C22—23616no—
1706C22—2361no—
1707C22—2361no—
1708C22—2361no—
1709C22—2361no—
1710C22—2361no—
1711C22—2361no—
1712C22—2361no—
1713C22—2361no—
1714C22—2361no—
1715C22—2361no—
1716C22—2361no—
1717C22—2361no—
1718C22C23×C4×D5911yescharacteristic
1719C22H(5,𝔽2)×D5911yescharacteristic
1720C22H(5,𝔽2)×D5911yescharacteristic
1721C22H(5,𝔽2)×D5911yescharacteristic
1722C22C2×#1427377311yescharacteristic
1723C22#1683823711yescharacteristic
1724C22#1683823811yescharacteristic
1725C4—22no—
1726C4—22no—
1727C4—22no—
1728C4—22no—
1729C4—22no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—41no—
1735C4—41no—
1736C4—41no—
1737C4—1182no—
1738C4—1182no—
1739C4—1182no—
1740C4—1182no—
1741C4—1182no—
1742C4—2361no—
1743C4—2361no—
1744C4—2361no—
1745C4—2361no—
1746C4—2361no—
1747C4—2361no—
1748C4—2361no—
1749C2—42no—
1750C2—42no—
1751C2—42no—
1752C2—1184no—
1753C2—2362no—
1754C2—2362no—
1755C2—2362no—
1756C2#518×D5911yescharacteristic
1757C2#2143730011yescharacteristic
1758C2C4×#1427377311yescharacteristic
1759C2#2143824711yescharacteristic
1760C2#2143825611yescharacteristic
1761C2#2143841111yescharacteristic
1762C2#2143841811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutatorC22×C59C24×C4
FittingC59×#2333C2
socle, cosocleC23×C59C25
prime radicalC2×#16837960C2
hypercenter#2333D59
hypocenterC59#34407
LCSG ▷ C22×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2333

Complements

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

NH ≅ G/Ntype
2. #21427255C2semidirect
3. #21427254C2semidirect
4. #21427243C2semidirect
5. #21427236C2semidirect
6. #21427228C2semidirect
7. #21427132C2semidirect
8. #21427131C2semidirect
9. #21427095C2semidirect
10. #21427089C2semidirect
11. #21427087C2semidirect
12. #21427081C2semidirect
13. #21427078C2semidirect
14. #21426948C2semidirect
15. #21426938C2semidirect
16. #21426917C2semidirect
17. #21426914C2semidirect
18. #21426893C2semidirect
19. #21426888C2semidirect
20. #21426855C2semidirect
21. #21426791C2semidirect
22. #21426786C2semidirect
23. #21426759C2semidirect
24. #21426752C2semidirect
25. #21426752C2semidirect
26. #21426749C2semidirect
27. #21426675C2semidirect
28. #21426601C2semidirect
29. C4×#14273697C2semidirect
30. #386×D59C2semidirect
31. C59×#2333C2semidirect
34. C23×C4×D59C22semidirect
35. #16837960C4semidirect
48. C2×C4×D236C22semidirect
49. C2×D4×Dic59C22semidirect
52. C2×C4×C22⋊D59C22semidirect
54. C2×(C22⋊D59)⋊C4C22semidirect
55. C2×#14273686C22semidirect
56. C2×#14273685C22semidirect
57. C2×#14273684C22semidirect
58. C2×#14273683C22semidirect
60. C22×(C2×D59)⋊C4C22semidirect
63. C2×C22⋊C4×D59C22semidirect
64. C2×C22⋊C4×D59C22semidirect
65. #16837305C22semidirect
66. #16837305C22semidirect
67. #16837305C22semidirect
69. #16837304C22semidirect
73. #16837302C22semidirect
74. #16837302C22semidirect
75. #16837302C22semidirect
76. #16837302C22semidirect
77. #16837302C22semidirect
78. #16837302C22semidirect
79. #16837301C22semidirect
80. #16837300C22semidirect
81. #16837299C22semidirect
82. #16837297C22semidirect
83. #16837295C22semidirect
84. #16837295C22semidirect
85. #16837294C22semidirect
86. #16837294C22semidirect
87. #16837294C22semidirect
88. #16837294C22semidirect
89. #16837294C22semidirect
90. #16837294C22semidirect
91. #16837293C22semidirect
92. #16837293C22semidirect
93. #16837292C22semidirect
94. #16837292C22semidirect
95. #16837291C22semidirect
96. #16837291C22semidirect
97. #16837291C22semidirect
98. #16837291C22semidirect
99. #16837291C22semidirect
100. #16837291C22semidirect
101. #16837290C22semidirect
102. #16837290C22semidirect
103. #16837290C22semidirect
104. #16837290C22semidirect
105. #16837289C22semidirect
106. #16837286C22semidirect
107. #16837285C22semidirect
108. #16837285C22semidirect
109. #16837284C22semidirect
110. #16837283C22semidirect
111. #16837282C22semidirect
112. #16837282C22semidirect
114. #16837281C22semidirect
119. #16837280C22semidirect
120. #16837280C22semidirect
122. #16837279C22semidirect
125. #16837278C22semidirect
126. #16837278C22semidirect
127. #16837278C22semidirect
128. #16837278C22semidirect
129. #16837278C22semidirect
130. #16837278C22semidirect
131. #16837277C22semidirect
132. #16837277C22semidirect
133. #16837276C22semidirect
134. #16837276C22semidirect
135. #16837276C22semidirect
136. #16837276C22semidirect
137. #16837276C22semidirect
138. #16837276C22semidirect
139. #16837276C22semidirect
140. #16837276C22semidirect
141. #16837275C22semidirect
142. #16837275C22semidirect
143. #16837263C22semidirect
144. #16837262C22semidirect
145. #16837261C22semidirect
146. #16837260C22semidirect
147. #16837259C22semidirect
150. #16837257C22semidirect
151. #16837257C22semidirect
152. #16837257C22semidirect
153. #16837257C22semidirect
154. C4⋊C4×Dic59C22semidirect
155. C4×Dic59⋊C4C22semidirect
156. C4×C4⋊Dic59C22semidirect
157. #16837253C22semidirect
158. C22⋊C4×Dic59C22semidirect
159. C22⋊C4×Dic59C22semidirect
160. C22⋊C4×Dic59C22semidirect
161. C4×(C2×D59)⋊C4C22semidirect
162. C4×(C2×D59)⋊C4C22semidirect
163. C4×(C2×D59)⋊C4C22semidirect
164. C4×(C2×D59)⋊C4C22semidirect
165. C4×(C2×D59)⋊C4C22semidirect
166. #16837249C22semidirect
167. #16837249C22semidirect
168. #16837249C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
171. #95×D59C22semidirect
172. #95×D59C22semidirect
174. C59×#390C22semidirect
175. C59×#390C22semidirect
176. C59×#388C22semidirect
177. C59×#388C22semidirect
178. C59×#387C22semidirect
179. C59×#387C22semidirect
180. C59×#386C22semidirect
181. C59×#386C22semidirect
182. C59×#386C22semidirect
183. C59×#386C22semidirect
184. C59×#381C22semidirect
185. C4×C22⋊C4×C59C22semidirect
186. C4×C22⋊C4×C59C22semidirect
187. C4×C22⋊C4×C59C22semidirect
204. C2×D4×D59C2×C4semidirect
205. C2×D4×D59C2×C4semidirect
222. #14273712C2×C4semidirect
223. #14273712C2×C4semidirect
224. #14273709C2×C4semidirect
225. #14273709C2×C4semidirect
226. #14273701C2×C4semidirect
227. #14273699C2×C4semidirect
228. #14273699C2×C4semidirect
229. #14273697C2×C4semidirect
230. #14273697C2×C4semidirect
231. #14273695C2×C4semidirect
232. #14273695C2×C4semidirect
275. C2×(C2×D59)⋊C4C2×C4semidirect
352. #121×C59C2×C4semidirect
405. C23×D59C22×C4semidirect
418. C2×D4×C59C22×C4semidirect
427. C22×C4×C59C22×C4semidirect
457. C2×C22⋊D59C22×C4semidirect
466. C22×Dic59C22×C4semidirect
520. C2×C4×D59C22×C4semidirect
523. C4⋊C4×C59C22×C4semidirect
535. C22⋊C4×C59C22×C4semidirect
551. C22⋊Dic59C22×C4semidirect
580. (C2×D59)⋊C4C22×C4semidirect
581. (C2×D59)⋊C4C22×C4semidirect
582. (C2×D59)⋊C4C22×C4semidirect
583. (C2×D59)⋊C4C22×C4semidirect
590. C4⋊Dic59C22×C4semidirect
599. Dic59⋊C4C22×C4semidirect
600. Dic59⋊C4C22×C4semidirect
888. #2333D59semidirect
961. #390C2×D59semidirect
962. #390C2×D59semidirect
989. #388C2×D59semidirect
990. #388C2×D59semidirect
997. #387C2×D59semidirect
998. #387C2×D59semidirect
1019. #386C2×D59semidirect
1020. #386C2×D59semidirect
1021. #386C2×D59semidirect
1022. #386C2×D59semidirect
1036. #381C2×D59semidirect
1064. C4×C22⋊C4C2×D59semidirect
1065. C4×C22⋊C4C2×D59semidirect
1066. C4×C22⋊C4C2×D59semidirect
1069. C59#34407semidirect
1117. #121C4×D59semidirect
1329. C2×D4C2×C4×D59semidirect
1390. C22×C4C2×C4×D59semidirect
1422. C4⋊C4C2×C4×D59semidirect
1478. C22⋊C4C2×C4×D59semidirect

Maximal subgroups

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

subgroupindex
C2×#168379602
#214272552
#214272542
#214272432
#214272362
#214272282
#214271322
#214271312
#214270952
#214270892
#214270872
#214270812
#214270782
#214269482
#214269382
#214269172
#214269142
#214268932
#214268882
#214268552
#214267912
#214267862
#214267592
#214267522
#214267492
#214266752
#214266012
C4×#142736972
#386×D592
C59×#23332
#3440759