Finite Group Databasebeta

← #28756862

Subgroups — #28756862

Order 15104.

2992 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16837935C211yesmaximal, characteristic, complemented
2C2×C4×D4×D59C211yesmaximal, characteristic, complemented
3#21428346C211yesmaximal, characteristic, complemented
4#21428338C211yesmaximal, characteristic, complemented
5#21428162C211yesmaximal, characteristic, complemented
6#21428005C211yesmaximal, characteristic, complemented
7#21427997C211yesmaximal, characteristic, complemented
8#21427965C211yesmaximal, characteristic, complemented
9#21427880C211yesmaximal, characteristic, complemented
10#21427815C211yesmaximal, characteristic, complemented
11#21427742C211yesmaximal, characteristic, complemented
12#21427672C211yesmaximal, characteristic, complemented
13#21427587C211yesmaximal, characteristic, complemented
14#21427565C211yesmaximal, characteristic, complemented
15#21427563C211yesmaximal, characteristic, complemented
16#21427542C211yesmaximal, characteristic, complemented
17#21427447C211yesmaximal, characteristic
18#21427360C211yesmaximal, characteristic, complemented
19#21427352C211yesmaximal, characteristic, complemented
20#21427339C211yesmaximal, characteristic, complemented
21#21427337C211yesmaximal, characteristic, complemented
22#21426637C211yesmaximal, characteristic, complemented
23#21426630C211yesmaximal, characteristic, complemented
24#21426608C211yesmaximal, characteristic, complemented
25#21426597C211yesmaximal, characteristic, complemented
26#21426597C211yesmaximal, characteristic, complemented
27#21426556C211yesmaximal, characteristic, complemented
28#21426478C211yesmaximal, characteristic, complemented
29#21426476C211yesmaximal, characteristic, complemented
30C4×#14273689C211yesmaximal, characteristic, complemented
31C59×#2468C211yesmaximal, characteristic, complemented
32C22×D4×D59C2211yescharacteristic
33C23×C4×D59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35#16837935—28no—
36C2×#14273721C2211yescharacteristic, complemented
37C2×#14273717C2211yescharacteristic, complemented
38C2×#14273713C2211yescharacteristic
39C2×#14273713C2211yescharacteristic
40C2×#14273712C2211yescharacteristic, complemented
41C2×#14273709C2211yescharacteristic, complemented
42C2×#14273705C2211yescharacteristic
43C2×#14273705C2211yescharacteristic, complemented
44C2×#14273700C2211yescharacteristic
45C2×#14273700C2211yescharacteristic
46C2×#14273697C2211yescharacteristic
47C2×#14273697C2211yescharacteristic
48C2×#14273692C2211yescharacteristic, complemented
49C2×C4×D236C2211yescharacteristic
50C2×C4×D236C2211yescharacteristic
51C2×D4×Dic59C2211yescharacteristic
52C2×#14273689C2211yescharacteristic
53C2×#14273689C2211yescharacteristic
54C2×#14273689C2211yescharacteristic
55C2×#14273689C2211yescharacteristic, complemented
56C2×#14273689C2211yescharacteristic, complemented
57C2×C4×C22⋊D59C2211yescharacteristic
58C2×C4×C22⋊D59C2211yescharacteristic
59C2×(C22⋊D59)⋊C4C2211yescharacteristic
60C2×(C22⋊D59)⋊C4C2211yescharacteristic
61C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
62C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
63C4×D4×D59—28no—
64C2×#14273685C2211yescharacteristic, complemented
65C2×#14273685C2211yescharacteristic, complemented
66C2×#14273683C2211yescharacteristic, complemented
67C2×#14273683C2211yescharacteristic, complemented
68C2×C4⋊C4×D59C2211yescharacteristic
69C2×C22⋊C4×D59C2211yescharacteristic
70C2×C22⋊C4×D59C2211yescharacteristic
71C2×C42×D59C2211yescharacteristic
72C2×C42×D59C2211yescharacteristic, complemented
73#16837344C2211yescharacteristic, complemented
74#16837341C2211yescharacteristic, complemented
75#16837339C2211yescharacteristic, complemented
76#16837338C2211yescharacteristic, complemented
77#16837336C2211yescharacteristic, complemented
78#16837335C2211yescharacteristic, complemented
79#16837330C2211yescharacteristic, complemented
80#16837330C2211yescharacteristic, complemented
81#16837330C2211yescharacteristic, complemented
82#16837329C2211yescharacteristic, complemented
83#16837329C2211yescharacteristic, complemented
84#16837328C2211yescharacteristic, complemented
85#16837328C2211yescharacteristic, complemented
86#16837327C2211yescharacteristic, complemented
87#16837325C2211yescharacteristic, complemented
88#16837324C2211yescharacteristic, complemented
89#16837324C2211yescharacteristic, complemented
90#16837324C2211yescharacteristic, complemented
91#16837320C2211yescharacteristic
92#16837320C2211yescharacteristic, complemented
93#16837319C2211yescharacteristic
94#16837319C2211yescharacteristic
95#16837319C2211yescharacteristic, complemented
96#16837318C2211yescharacteristic, complemented
97#16837317C2211yescharacteristic, complemented
98#16837316C2211yescharacteristic
99#16837312C2211yescharacteristic
100#16837310C2211yescharacteristic
101#16837306C2211yescharacteristic, complemented
102#16837306C2211yescharacteristic, complemented
103#16837302C2211yescharacteristic
104#16837302C2211yescharacteristic
105#16837302C2211yescharacteristic
106#16837302C2211yescharacteristic
107#16837299C2211yescharacteristic, complemented
108#16837299C2211yescharacteristic, complemented
109#16837297C2211yescharacteristic, complemented
110#16837297C2211yescharacteristic, complemented
111#16837296C2211yescharacteristic, complemented
112#16837295C2211yescharacteristic, complemented
113#16837293C2211yescharacteristic, complemented
114#16837293C2211yescharacteristic, complemented
115#16837293C2211yescharacteristic, complemented
116#16837292C2211yescharacteristic, complemented
117#16837291C2211yescharacteristic, complemented
118#16837286C2211yescharacteristic, complemented
119#16837281C2211yescharacteristic, complemented
120#16837281C2211yescharacteristic, complemented
121#16837280C2211yescharacteristic
122#16837280C2211yescharacteristic
123#16837280C2211yescharacteristic, complemented
124#16837280C2211yescharacteristic, complemented
125#16837280C2211yescharacteristic, complemented
126#16837278C2211yescharacteristic, complemented
127#16837276C2211yescharacteristic
128#16837273C2211yescharacteristic
129#16837273C2211yescharacteristic
130#16837273C2211yescharacteristic
131#16837273C2211yescharacteristic, complemented
132#16837273C2211yescharacteristic, complemented
133#16837266C2211yescharacteristic, complemented
134#16837265C2211yescharacteristic, complemented
135#16837264C2211yescharacteristic, complemented
136#16837264C2211yescharacteristic, complemented
137#16837262C2211yescharacteristic, complemented
138#16837261C2211yescharacteristic
139#16837261C2211yescharacteristic
140#16837261C2211yescharacteristic
141#16837261C2211yescharacteristic, complemented
142#16837261C2211yescharacteristic, complemented
143#16837261C2211yescharacteristic, complemented
144#16837259C2211yescharacteristic
145#16837259C2211yescharacteristic
146#16837257C2211yescharacteristic
147#16837257C2211yescharacteristic
148#16837257C2211yescharacteristic
149#16837257C2211yescharacteristic
150#16837257C2211yescharacteristic
151#16837257C2211yescharacteristic
152C4⋊C4×Dic59C2211yescharacteristic, complemented
153C4⋊C4×Dic59C2211yescharacteristic, complemented
154C4⋊C4×Dic59C2211yescharacteristic, complemented
155#16837253C2211yescharacteristic, complemented
156#16837253C2211yescharacteristic, complemented
157C22⋊C4×Dic59C2211yescharacteristic, complemented
158C22⋊C4×Dic59C2211yescharacteristic, complemented
159C22⋊C4×Dic59C2211yescharacteristic, complemented
160C22⋊C4×Dic59C2211yescharacteristic, complemented
161C4×(C2×D59)⋊C4C2211yescharacteristic
162C4×(C2×D59)⋊C4C2211yescharacteristic, complemented
163#16837249C2211yescharacteristic
164#16837249C2211yescharacteristic
165#16837249C2211yescharacteristic
166#16837249C2211yescharacteristic
167#16837249C2211yescharacteristic, complemented
168#16837249C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172#16837249C2211yescharacteristic, complemented
173C42×Dic59C2211yescharacteristic, complemented
174C2×#126×C59C2211yescharacteristic, complemented
175C2×C4×D4×C59C2211yescharacteristic
176C59×#398C2211yescharacteristic, complemented
177C59×#398C2211yescharacteristic, complemented
178C59×#394C2211yescharacteristic
179C59×#394C2211yescharacteristic
180C59×#388C2211yescharacteristic, complemented
181C59×#388C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#387C2211yescharacteristic, complemented
184C59×#385C2211yescharacteristic, complemented
185C59×#385C2211yescharacteristic, complemented
186C59×#381C2211yescharacteristic, complemented
187C59×#380C2211yescharacteristic, complemented
188C4×C4⋊C4×C59C2211yescharacteristic, complemented
189C24×D59C2311yescharacteristic
190C24×D59C2311yescharacteristic
191C22×Dic118C2311yescharacteristic
192C22×D236C2311yescharacteristic
193C22×D236C2311yescharacteristic
194C22×D236C2311yescharacteristic
195C22×D236C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C2×D4×D59—24no—
201C2×D4×D59—24no—
202C2×D4×D59—24no—
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C22×C4×D59—24no—
206C22×C4×D59—24no—
207C22×C4×D59—24no—
208C22×C4×D59—24no—
209C22×C4×D59—42no—
210C22×C4×D59—42no—
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
222C22×C4×D59C2311yescharacteristic
223#14273721—24no—
224#14273717—24no—
225#14273713—24no—
226#14273713—24no—
227#14273712—24no—
228#14273709—24no—
229#14273705—24no—
230#14273705—24no—
231#14273700—24no—
232#14273700—24no—
233#14273697—24no—
234#14273697—24no—
235#14273692—24no—
236C4×D236—24no—
237C4×D236—24no—
238D4×Dic59—24no—
239#14273689—24no—
240#14273689—24no—
241#14273689—24no—
242#14273689—24no—
243#14273689—42no—
244C4×C22⋊D59—24no—
245C4×C22⋊D59—24no—
246(C22⋊D59)⋊C4—24no—
247(C22⋊D59)⋊C4—24no—
248(C22⋊D59)⋊C4—42no—
249(C22⋊D59)⋊C4D418yescomplemented
250#14273685—24no—
251#14273685—42no—
252#14273683—24no—
253#14273683—42no—
254C2×C4⋊Dic59C2311yescharacteristic
255C2×C4⋊Dic59C2311yescharacteristic
256C2×C4⋊Dic59C2311yescharacteristic
257C2×C4⋊Dic59C2311yescharacteristic
258C2×C4⋊Dic59C2311yescharacteristic
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
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C4⋊C4×D59—24no—
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
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
308C2×(C2×D59)⋊C4C2311yescharacteristic
309C2×(C2×D59)⋊C4C2311yescharacteristic
310C2×(C2×D59)⋊C4C2311yescharacteristic
311C2×(C2×D59)⋊C4C2311yescharacteristic
312C2×(C2×D59)⋊C4C2311yescharacteristic
313C2×(C2×D59)⋊C4C2311yescharacteristic
314C22⋊C4×D59—24no—
315C22⋊C4×D59—24no—
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C2×C4×Dic59C2311yescharacteristic
327C2×C4×Dic59C2311yescharacteristic
328C2×C4×Dic59C2311yescharacteristic
329C2×C4×Dic59C2311yescharacteristic
330C42×D59—24no—
331C42×D59—24no—
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
352C59⋊#95C2311yescharacteristic
353C59⋊#95C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C23×C4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357#126×C59—24no—
358C4×D4×C59—24no—
359C2×C4⋊C4×C59C2311yescharacteristic
360C2×C4⋊C4×C59C2311yescharacteristic
361C2×C4⋊C4×C59C2311yescharacteristic
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×C22⋊C4×C59C2311yescharacteristic
369C2×C22⋊C4×C59C2311yescharacteristic
370C2×C22⋊C4×C59C2311yescharacteristic
371C2×C22⋊C4×C59C2311yescharacteristic
372C2×C22⋊C4×C59C2311yescharacteristic
373C2×C22⋊C4×C59C2311yescharacteristic
374C2×C22⋊C4×C59C2311yescharacteristic
375C2×C22⋊C4×C59C2311yescharacteristic
376C2×C22⋊C4×C59C2311yescharacteristic
377C2×C22⋊C4×C59C2311yescharacteristic
378C2×C42×C59C2311yescharacteristic
379C2×C42×C59C2311yescharacteristic
380C2×C42×C59C2311yescharacteristic
381#95×C59C2311yescharacteristic
382#95×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—22no—
403C23×D59—41no—
404C23×D59—41no—
405C23×D59—41no—
406C23×D59—41no—
407C23×D59C2411yescharacteristic
408C23×D59C2411yescharacteristic
409C23×D59C2411yescharacteristic
410C23×D59C2411yescharacteristic
411C2×D4×C59—22no—
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C22×C4×C59—22no—
415C22×C4×C59—22no—
416C22×C4×C59—22no—
417C22×C4×C59—22no—
418C22×C4×C59—41no—
419C22×C4×C59—41no—
420C22×C4×C59C2411yescharacteristic
421C22×C4×C59C2411yescharacteristic
422C22×C4×C59C2411yescharacteristic
423C22×C4×C59C2411yescharacteristic
424C22×C4×C59C2411yescharacteristic
425C22×C4×C59C2411yescharacteristic
426C22×C4×C59C2411yescharacteristic
427C22×C4×C59C2411yescharacteristic
428C22×C4×C59C2411yescharacteristic
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C2×C22⋊D59—22no—
434C2×C22⋊D59—22no—
435C2×C22⋊D59—22no—
436C2×C22⋊D59—22no—
437C2×C22⋊D59—22no—
438C2×C22⋊D59—22no—
439C2×C22⋊D59—22no—
440C2×C22⋊D59—22no—
441C2×C22⋊D59—41no—
442C2×C22⋊D59—41no—
443C2×C22⋊D59C2×D414yes—
444C2×C22⋊D59#4114yes—
445C22×Dic59—22no—
446C22×Dic59—22no—
447C22×Dic59—22no—
448C22×Dic59—22no—
449C22×Dic59—22no—
450C22×Dic59C2×D414yes—
451C22×Dic59C2411yescharacteristic
452C22×Dic59C2411yescharacteristic
453C22×Dic59C2411yescharacteristic
454C22×Dic59C2411yescharacteristic
455C22×Dic59C2411yescharacteristic
456C22×Dic59C2411yescharacteristic
457C22×Dic59C2411yescharacteristic
458C22×Dic59C2411yescharacteristic
459C22×Dic59C2411yescharacteristic
460C22×Dic59C2411yescharacteristic
461C22×Dic59C2411yescharacteristic
462C22×Dic59C2411yescharacteristic
463D4×D59—232no—
464C2×D236—22no—
465C2×D236—22no—
466C2×D236—22no—
467C2×D236—22no—
468C2×D236—22no—
469C2×D236—22no—
470C2×D236—22no—
471C2×D236—22no—
472C2×D236—22no—
473C2×D236—41no—
474C2×D236—41no—
475C2×D236#4114yes—
476C2×C4×D59—22no—
477C2×C4×D59—22no—
478C2×C4×D59—22no—
479C2×C4×D59—22no—
480C2×C4×D59—22no—
481C2×C4×D59—22no—
482C2×C4×D59—22no—
483C2×C4×D59—22no—
484C2×C4×D59—22no—
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—22no—
502C2×C4×D59—22no—
503C2×C4×D59—416no—
504C2×C4×D59—416no—
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×D59C2×D414yes—
512C2×C4×D59#4114yes—
513C2×C4×D59#4114yes—
514C2×Dic118—22no—
515C2×Dic118—22no—
516C2×Dic118—22no—
517C4⋊C4×C59—22no—
518C4⋊C4×C59—22no—
519C4⋊C4×C59—22no—
520C4⋊C4×C59—22no—
521C4⋊C4×C59—22no—
522C4⋊C4×C59—22no—
523C4⋊C4×C59—22no—
524C4⋊C4×C59—41no—
525C4⋊C4×C59—41no—
526C22⋊C4×C59—22no—
527C22⋊C4×C59—22no—
528C22⋊C4×C59—22no—
529C22⋊C4×C59—22no—
530C22⋊C4×C59—22no—
531C22⋊C4×C59—22no—
532C22⋊C4×C59—22no—
533C22⋊C4×C59—41no—
534C22⋊C4×C59—41no—
535C22⋊C4×C59C2×D414yes—
536C42×C59—22no—
537C42×C59—22no—
538C42×C59—22no—
539C22⋊Dic59—22no—
540C22⋊Dic59—22no—
541C22⋊Dic59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—41no—
544C22⋊Dic59—41no—
545C22⋊Dic59—41no—
546C22⋊Dic59—41no—
547(C2×D59)⋊C4—22no—
548(C2×D59)⋊C4—22no—
549(C2×D59)⋊C4—22no—
550(C2×D59)⋊C4—22no—
551(C2×D59)⋊C4—22no—
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)⋊C4C2×D414yes—
579C4⋊Dic59—22no—
580C4⋊Dic59—22no—
581C4⋊Dic59—22no—
582C4⋊Dic59—41no—
583C4⋊Dic59—41no—
584Dic59⋊C4—22no—
585Dic59⋊C4—22no—
586Dic59⋊C4—22no—
587Dic59⋊C4—22no—
588Dic59⋊C4—22no—
589Dic59⋊C4—22no—
590Dic59⋊C4—22no—
591Dic59⋊C4—22no—
592Dic59⋊C4—22no—
593Dic59⋊C4—41no—
594Dic59⋊C4—41no—
595Dic59⋊C4—41no—
596Dic59⋊C4—41no—
597Dic59⋊C4C2×D414yes—
598C4×Dic59—22no—
599C4×Dic59—22no—
600C4×Dic59—22no—
601C4×Dic59—22no—
602C4×Dic59—22no—
603C4×Dic59—22no—
604C4×Dic59—22no—
605C4×Dic59—22no—
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×C59—21no—
624C23×C59C22×D412yes—
625C23×C59C2×#4112yes—
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—44no—
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×D59C2×#4112yes—
665C22×D59C2×#4112yes—
666C22×D59C2×#4112yes—
667C22×D59C2×#4112yes—
668C22×D59C2×#4112yes—
669D4×C59—28no—
670C2×C4×C59—21no—
671C2×C4×C59—21no—
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—44no—
705C2×C4×C59—44no—
706C2×C4×C59C22×D412yes—
707C2×C4×C59C22×D412yes—
708C2×C4×C59C2×#4112yes—
709C2×C4×C59C2×#4112yes—
710C2×C4×C59C2×#4112yes—
711C22⋊D59—28no—
712C22⋊D59—28no—
713C22⋊D59—44no—
714C22⋊D59—44no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—28no—
718C2×Dic59—21no—
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—44no—
746C2×Dic59C22×D412yes—
747C2×Dic59C22×D412yes—
748C2×Dic59C22×D412yes—
749C2×Dic59C2×#4112yes—
750C2×Dic59C2×#4112yes—
751C2×Dic59C2×#4112yes—
752C2×Dic59H(5,𝔽2)12yes—
753D236—28no—
754D236—28no—
755D236—44no—
756D236—44no—
757C4×D59—28no—
758C4×D59—28no—
759C4×D59—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—
769Dic118—44no—
770#34700—591nomaximal, Sylow
771C22×C59—22no—
772C22×C59—22no—
773C22×C59—22no—
774C22×C59—22no—
775C22×C59—22no—
776C22×C59—22no—
777C22×C59—41no—
778C22×C59—41no—
779C22×C59—41no—
780C22×C59—41no—
781C22×C59—41no—
782C22×C59—41no—
783C22×C59—41no—
784C22×C59—41no—
785C22×C59C23×D411yescharacteristic
786C22×C59C22×#4111yescharacteristic
787C22×C59C22×#4111yescharacteristic
788C22×C59C22×#4111yescharacteristic
789C22×C59C22×#4111yescharacteristic
790C22×C59C2×H(5,𝔽2)11yescharacteristic
791C22×C59#58511yescharacteristic
792C2×D59—22no—
793C2×D59—22no—
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—416no—
808C2×D59—416no—
809C2×D59—41no—
810C2×D59—41no—
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#52914yescomplemented
822C4×C59—22no—
823C4×C59—22no—
824C4×C59—22no—
825C4×C59—22no—
826C4×C59—22no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833C4×C59—41no—
834C4×C59—41no—
835Dic59—22no—
836Dic59—41no—
837Dic59—41no—
838Dic59—41no—
839Dic59—41no—
840Dic59—41no—
841Dic59—41no—
842Dic59—41no—
843Dic59—41no—
844Dic59—41no—
845Dic59#52514yes—
846Dic59#54614yes—
847C2×#529—591no—
848C22×C4×D4—591no—
849#2480—591no—
850#2480—591no—
851#2468—591no—
852#2468D5911yescharacteristic, complemented
853#2457—591no—
854#2457—591no—
855#2454—591no—
856#2447—591no—
857#2442—591no—
858#2435—591no—
859#2427—591no—
860#2420—591no—
861#2418—591no—
862#2418—591no—
863#2417—591no—
864#2408—591no—
865#2395—591no—
866#2395—591no—
867#2392—591no—
868#2392—591no—
869C4×#124—591no—
870C4×C22⋊Q8—591no—
871C4×#121—591no—
872C4×#120—591no—
873C4×#120—591no—
874#2293—591no—
875#2280—591no—
876#2280—591no—
877C42×D4—591no—
878C2×C59—42no—
879C2×C59—42no—
880C2×C59C2×#52511yescharacteristic
881C2×C59C2×#52911yescharacteristic
882C2×C59#346011yescharacteristic
883C2×C59C2×#54611yescharacteristic
884C2×C59D4×#4111yescharacteristic
885C2×C59#347511yescharacteristic
886C2×C59#348111yescharacteristic
887D59—24no—
888D59—42no—
889D59—42no—
890D59—42no—
891C23×D4—591no—
892C24×C4—591no—
893C24×C4—591no—
894#529—1188no—
895C2×#126—591no—
896C2×#126C2×D5911yescharacteristic, complemented
897C2×#125—591no—
898C2×#124—591no—
899C2×#124—591no—
900C2×#123—591no—
901C2×#123—591no—
902C2×C22⋊Q8—591no—
903C2×C22⋊Q8—591no—
904C2×#121—591no—
905C2×#121—591no—
906C2×#120—591no—
907C2×#120—591no—
908C2×C4×Q8—591no—
909C2×C4×D4—591no—
910C2×C4×D4—591no—
911C2×C4×D4—591no—
912C2×C4×D4—591no—
913C2×C4×D4—591no—
914C2×C4×D4—591no—
915C2×C4×D4—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—1188no—
924C2×C4×D4C2×D5911yescharacteristic
925C2×#117—591no—
926C2×#117—591no—
927C2×#117—591no—
928C2×#117—591no—
929C22×C4⋊C4—591no—
930C22×C22⋊C4—591no—
931C22×C22⋊C4—591no—
932C22×C42—591no—
933C22×C42—591no—
934#400—591no—
935#400—591no—
936#399—591no—
937#399—591no—
938#398—591no—
939#398—591no—
940#398C2×D5911yescharacteristic, complemented
941#398C2×D5911yescharacteristic, complemented
942#397—591no—
943#397—591no—
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#396—591no—
954#394—591no—
955#394—591no—
956#394—591no—
957#394—591no—
958#394—591no—
959#394—591no—
960#394—591no—
961#394—591no—
962#394C2×D5911yescharacteristic
963#394C2×D5911yescharacteristic
964#392—591no—
965#392—591no—
966#391—591no—
967#391—591no—
968#390—591no—
969#390—591no—
970#390—591no—
971#390—591no—
972#389—591no—
973#389—591no—
974#389—591no—
975#389—591no—
976#388—591no—
977#388—591no—
978#388—591no—
979#388—591no—
980#388—591no—
981#388—591no—
982#388—591no—
983#388C2×D5911yescharacteristic, complemented
984#388C2×D5911yescharacteristic, complemented
985#388C2×D5911yescharacteristic, complemented
986#387—591no—
987#387C2×D5911yescharacteristic, complemented
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386—591no—
995#386—591no—
996#385—591no—
997#385—591no—
998#385—591no—
999#385—591no—
1000#385—591no—
1001#385—591no—
1002#385C2×D5911yescharacteristic, complemented
1003#385C2×D5911yescharacteristic, complemented
1004#382—591no—
1005#381—591no—
1006#381—591no—
1007#381—591no—
1008#381C2×D5911yescharacteristic, complemented
1009#380—591no—
1010#380—591no—
1011#380—591no—
1012#380—591no—
1013#380—591no—
1014#380—591no—
1015#380—591no—
1016#380—591no—
1017#380—591no—
1018#380C2×D5911yescharacteristic, complemented
1019#379—591no—
1020#379—591no—
1021#379—591no—
1022#379—591no—
1023#379—591no—
1024#379—591no—
1025C4×C4⋊C4—591no—
1026C4×C4⋊C4—591no—
1027C4×C4⋊C4—591no—
1028C4×C4⋊C4—591no—
1029C4×C4⋊C4—591no—
1030C4×C4⋊C4C2×D5911yescharacteristic, complemented
1031C4×C22⋊C4—591no—
1032C4×C22⋊C4—591no—
1033C4×C22⋊C4—591no—
1034C4×C22⋊C4—591no—
1035C4×C22⋊C4—591no—
1036C4×C22⋊C4—591no—
1037C4×C22⋊C4—591no—
1038C4×C22⋊C4—591no—
1039C4×C22⋊C4—591no—
1040C4×C22⋊C4—591no—
1041C4×C22⋊C4—591no—
1042C4×C22⋊C4—591no—
1043C4×C22⋊C4—591no—
1044C4×C22⋊C4—591no—
1045C4×C22⋊C4—591no—
1046C4×C22⋊C4—591no—
1047C43—591no—
1048C59#3470011yescharacteristic, complemented, Sylow
1049C25—591no—
1050C25—591no—
1051C22×Q8—591no—
1052C22×D4—591no—
1053C22×D4—591no—
1054C22×D4—591no—
1055C22×D4—591no—
1056C22×D4—591no—
1057C22×D4—591no—
1058C22×D4—591no—
1059C22×D4—591no—
1060C22×D4—1184no—
1061C22×D4—1184no—
1062C22×D4—1184no—
1063C22×D4C22×D5911yescharacteristic
1064C23×C4—591no—
1065C23×C4—591no—
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—1184no—
1079C23×C4—1184no—
1080C23×C4—1184no—
1081C23×C4—1184no—
1082C23×C4—2362no—
1083C23×C4—2362no—
1084C23×C4C22×D5911yescharacteristic
1085C23×C4C22×D5911yescharacteristic
1086#126—24no—
1087#126—1184no—
1088#125—1184no—
1089#124—1184no—
1090#124—1184no—
1091#123—1184no—
1092#123—1184no—
1093C22⋊Q8—1184no—
1094C22⋊Q8—1184no—
1095#121—1184no—
1096#121—1184no—
1097#120—1184no—
1098#120—1184no—
1099C4×Q8—1184no—
1100C4×D4—24no—
1101C4×D4—598no—
1102C4×D4—1184no—
1103C4×D4—1184no—
1104C4×D4—1184no—
1105C4×D4—1184no—
1106C4×D4—1184no—
1107C4×D4—1184no—
1108C4×D4—1184no—
1109C4×D4—1184no—
1110C4×D4—1184no—
1111C4×D4—1184no—
1112C4×D4—1184no—
1113C4×D4—2362no—
1114C4×D4—2362no—
1115#117—1184no—
1116#117—1184no—
1117#117—2362no—
1118#117—2362no—
1119C2×C4⋊C4—591no—
1120C2×C4⋊C4—591no—
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—1184no—
1139C2×C4⋊C4C22×D5911yescharacteristic
1140C2×C4⋊C4C22×D5911yescharacteristic
1141C2×C4⋊C4C22×D5911yescharacteristic
1142C2×C4⋊C4C22×D5911yescharacteristic
1143C2×C4⋊C4C22×D5911yescharacteristic
1144C2×C4⋊C4C22×D5911yescharacteristic
1145C2×C4⋊C4C22×D5911yescharacteristic
1146C2×C4⋊C4C22×D5911yescharacteristic
1147C2×C4⋊C4C22×D5911yescharacteristic
1148C2×C22⋊C4—591no—
1149C2×C22⋊C4—591no—
1150C2×C22⋊C4—591no—
1151C2×C22⋊C4—591no—
1152C2×C22⋊C4—591no—
1153C2×C22⋊C4—591no—
1154C2×C22⋊C4—591no—
1155C2×C22⋊C4—591no—
1156C2×C22⋊C4—591no—
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—1184no—
1189C2×C22⋊C4—1184no—
1190C2×C22⋊C4C22×D5911yescharacteristic
1191C2×C22⋊C4C22×D5911yescharacteristic
1192C2×C22⋊C4C22×D5911yescharacteristic
1193C2×C22⋊C4C22×D5911yescharacteristic
1194C2×C22⋊C4C22×D5911yescharacteristic
1195C2×C22⋊C4C22×D5911yescharacteristic
1196C2×C22⋊C4C22×D5911yescharacteristic
1197C2×C22⋊C4C22×D5911yescharacteristic
1198C2×C22⋊C4C22×D5911yescharacteristic
1199C2×C22⋊C4C22×D5911yescharacteristic
1200C2×C42—591no—
1201C2×C42—591no—
1202C2×C42—591no—
1203C2×C42—591no—
1204C2×C42—591no—
1205C2×C42—591no—
1206C2×C42—591no—
1207C2×C42—591no—
1208C2×C42—591no—
1209C2×C42—591no—
1210C2×C42—591no—
1211C2×C42—591no—
1212C2×C42—591no—
1213C2×C42—591no—
1214C2×C42—1184no—
1215C2×C42—1184no—
1216C2×C42C22×D5911yescharacteristic
1217C2×C42C22×D5911yescharacteristic
1218C2×C42C22×D5911yescharacteristic
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#95C22×D5911yescharacteristic
1242#95C22×D5911yescharacteristic
1243#95C22×D5911yescharacteristic
1244#95C22×D5911yescharacteristic
1245#95C22×D5911yescharacteristic
1246#95C22×D5911yescharacteristic
1247#95C22×D5911yescharacteristic
1248#95C22×D5911yescharacteristic
1249#95C22×D5911yescharacteristic
1250#95C22×D5911yescharacteristic
1251C24—591no—
1252C24—591no—
1253C24—591no—
1254C24—591no—
1255C24—1182no—
1256C24—1182no—
1257C24—1182no—
1258C24—1182no—
1259C24—1182no—
1260C24—1182no—
1261C24—1182no—
1262C24—1182no—
1263C24—1182no—
1264C24—1182no—
1265C24—2361no—
1266C24—2361no—
1267C24—2361no—
1268C24—2361no—
1269C24C23×D5911yescharacteristic
1270C24C23×D5911yescharacteristic
1271C2×Q8—1182no—
1272C2×Q8—1182no—
1273C2×Q8—1182no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—594no—
1278C2×D4—594no—
1279C2×D4—594no—
1280C2×D4—1182no—
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—1182no—
1290C2×D4—1182no—
1291C2×D4—1182no—
1292C2×D4—11832no—
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—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—591no—
1309C22×C4—591no—
1310C22×C4—594no—
1311C22×C4—591no—
1312C22×C4—594no—
1313C22×C4—594no—
1314C22×C4—594no—
1315C22×C4—591no—
1316C22×C4—591no—
1317C22×C4—591no—
1318C22×C4—591no—
1319C22×C4—591no—
1320C22×C4—591no—
1321C22×C4—591no—
1322C22×C4—591no—
1323C22×C4—591no—
1324C22×C4—1182no—
1325C22×C4—1182no—
1326C22×C4—1182no—
1327C22×C4—1182no—
1328C22×C4—1182no—
1329C22×C4—1182no—
1330C22×C4—1182no—
1331C22×C4—1182no—
1332C22×C4—1182no—
1333C22×C4—1182no—
1334C22×C4—1182no—
1335C22×C4—1182no—
1336C22×C4—1182no—
1337C22×C4—1182no—
1338C22×C4—1182no—
1339C22×C4—1182no—
1340C22×C4—1182no—
1341C22×C4—1182no—
1342C22×C4—1182no—
1343C22×C4—1182no—
1344C22×C4—1182no—
1345C22×C4—1182no—
1346C22×C4—1182no—
1347C22×C4—1182no—
1348C22×C4—1182no—
1349C22×C4—1182no—
1350C22×C4—1182no—
1351C22×C4—1182no—
1352C22×C4—1182no—
1353C22×C4—1182no—
1354C22×C4—1182no—
1355C22×C4—1182no—
1356C22×C4—2361no—
1357C22×C4—2361no—
1358C22×C4—2361no—
1359C22×C4—2361no—
1360C22×C4—2361no—
1361C22×C4—2361no—
1362C22×C4—23616no—
1363C22×C4—23616no—
1364C22×C4C23×D5911yescharacteristic
1365C22×C4C23×D5911yescharacteristic
1366C22×C4C23×D5911yescharacteristic
1367C22×C4C23×D5911yescharacteristic
1368C22×C4C23×D5911yescharacteristic
1369C22×C4C23×D5911yescharacteristic
1370C22×C4C23×D5911yescharacteristic
1371C22×C4C23×D5911yescharacteristic
1372C22×C4C23×D5911yescharacteristic
1373C22×C4C23×D5911yescharacteristic
1374C22×C4C23×D5911yescharacteristic
1375C22×C4C23×D5911yescharacteristic
1376C22×C4C23×D5911yescharacteristic
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—41no—
1385C4⋊C4—41no—
1386C4⋊C4—594no—
1387C4⋊C4—1182no—
1388C4⋊C4—1182no—
1389C4⋊C4—1182no—
1390C4⋊C4—1182no—
1391C4⋊C4—1182no—
1392C4⋊C4—1182no—
1393C4⋊C4—1182no—
1394C4⋊C4—1182no—
1395C4⋊C4—1182no—
1396C4⋊C4—1182no—
1397C4⋊C4—1182no—
1398C4⋊C4—1182no—
1399C4⋊C4—2361no—
1400C4⋊C4—2361no—
1401C4⋊C4—2361no—
1402C4⋊C4—2361no—
1403C4⋊C4—2361no—
1404C4⋊C4—2361no—
1405C22⋊C4—22no—
1406C22⋊C4—22no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—22no—
1410C22⋊C4—22no—
1411C22⋊C4—22no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—594no—
1415C22⋊C4—1182no—
1416C22⋊C4—1182no—
1417C22⋊C4—1182no—
1418C22⋊C4—1182no—
1419C22⋊C4—1182no—
1420C22⋊C4—1182no—
1421C22⋊C4—1182no—
1422C22⋊C4—1182no—
1423C22⋊C4—1182no—
1424C22⋊C4—1182no—
1425C22⋊C4—1182no—
1426C22⋊C4—1182no—
1427C22⋊C4—1182no—
1428C22⋊C4—1182no—
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—2361no—
1443C22⋊C4—2361no—
1444C22⋊C4—2361no—
1445C22⋊C4—2361no—
1446C22⋊C4—2361no—
1447C22⋊C4—2361no—
1448C22⋊C4—2361no—
1449C22⋊C4—2361no—
1450C22⋊C4—2361no—
1451C22⋊C4—2361no—
1452C22⋊C4—2361no—
1453C22⋊C4—2361no—
1454C22⋊C4D4×D5914yes—
1455C42—22no—
1456C42—22no—
1457C42—22no—
1458C42—594no—
1459C42—1182no—
1460C42—1182no—
1461C42—1182no—
1462C42—1182no—
1463C42—1182no—
1464C42—1182no—
1465C42—1182no—
1466C42—1182no—
1467C42—1182no—
1468C42—1182no—
1469C42—1182no—
1470C42—1182no—
1471C42—2361no—
1472C23—21no—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—592no—
1485C23—592no—
1486C23—592no—
1487C23—592no—
1488C23—592no—
1489C23—592no—
1490C23—1188no—
1491C23—1188no—
1492C23—1181no—
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—2364no—
1515C23—2364no—
1516C23—2364no—
1517C23—2364no—
1518C23—2364no—
1519C23—2364no—
1520C23—2364no—
1521C23—2364no—
1522C23—2364no—
1523C23—2364no—
1524C23—2364no—
1525C23—2364no—
1526C23C2×D4×D5912yes—
1527C23#41×D5912yes—
1528C23C24×D5911yescharacteristic
1529Q8—2364no—
1530D4—28no—
1531D4—1188no—
1532D4—1188no—
1533D4—1188no—
1534D4—1188no—
1535D4—2364no—
1536D4—2364no—
1537D4—2364no—
1538D4—2364no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
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—44no—
1574C2×C4—44no—
1575C2×C4—592no—
1576C2×C4—592no—
1577C2×C4—592no—
1578C2×C4—592no—
1579C2×C4—592no—
1580C2×C4—592no—
1581C2×C4—592no—
1582C2×C4—1188no—
1583C2×C4—1188no—
1584C2×C4—1188no—
1585C2×C4—1188no—
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—2364no—
1616C2×C4—2364no—
1617C2×C4—2364no—
1618C2×C4—2364no—
1619C2×C4—2364no—
1620C2×C4—2364no—
1621C2×C4—2364no—
1622C2×C4—2364no—
1623C2×C4—2364no—
1624C2×C4—2364no—
1625C2×C4C2×D4×D5912yes—
1626C2×C4C2×D4×D5912yes—
1627C2×C4#41×D5912yes—
1628C2×C4#41×D5912yes—
1629C2×C4#41×D5912yes—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—41no—
1637C22—41no—
1638C22—41no—
1639C22—41no—
1640C22—41no—
1641C22—41no—
1642C22—41no—
1643C22—41no—
1644C22—594no—
1645C22—1182no—
1646C22—1182no—
1647C22—1182no—
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—23616no—
1661C22—23616no—
1662C22—2361no—
1663C22—2361no—
1664C22—2361no—
1665C22—2361no—
1666C22—2361no—
1667C22—2361no—
1668C22—2361no—
1669C22—2361no—
1670C22—2361no—
1671C22—2361no—
1672C22—2361no—
1673C22—2361no—
1674C22C22×D4×D5911yescharacteristic
1675C22C2×#41×D5911yescharacteristic
1676C22C2×#41×D5911yescharacteristic
1677C22C2×#41×D5911yescharacteristic
1678C22C2×#41×D5911yescharacteristic
1679C22H(5,𝔽2)×D5911yescharacteristic
1680C22#1683823911yescharacteristic
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—22no—
1685C4—22no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—41no—
1693C4—41no—
1694C4—594no—
1695C4—594no—
1696C4—1182no—
1697C4—2361no—
1698C4—2361no—
1699C4—2361no—
1700C4—2361no—
1701C4—2361no—
1702C4—2361no—
1703C4—2361no—
1704C4—2361no—
1705C4—2361no—
1706C2—42no—
1707C2—42no—
1708C2—1184no—
1709C2—2362no—
1710C2—2362no—
1711C2—2362no—
1712C2#525×D5911yescharacteristic
1713C2#529×D5911yescharacteristic
1714C2#2143751611yescharacteristic
1715C2#546×D5911yescharacteristic
1716C2#2143758311yescharacteristic
1717C2#2143764911yescharacteristic
1718C2#2143770311yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2468C2
prime radical#21427447C2
hypercenter#2468D59
hypocenterC59#34700
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2468

Complements

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

NH ≅ G/Ntype
1. C2×#16837935C2semidirect
2. C2×C4×D4×D59C2semidirect
3. #21428346C2semidirect
4. #21428338C2semidirect
5. #21428162C2semidirect
6. #21428005C2semidirect
7. #21427997C2semidirect
8. #21427965C2semidirect
9. #21427880C2semidirect
10. #21427815C2semidirect
11. #21427742C2semidirect
12. #21427672C2semidirect
13. #21427587C2semidirect
14. #21427565C2semidirect
15. #21427563C2semidirect
16. #21427542C2semidirect
18. #21427360C2semidirect
19. #21427352C2semidirect
20. #21427339C2semidirect
21. #21427337C2semidirect
22. #21426637C2semidirect
23. #21426630C2semidirect
24. #21426608C2semidirect
25. #21426597C2semidirect
26. #21426597C2semidirect
27. #21426556C2semidirect
28. #21426478C2semidirect
29. #21426476C2semidirect
30. C4×#14273689C2semidirect
31. C59×#2468C2semidirect
36. C2×#14273721C22semidirect
37. C2×#14273717C22semidirect
40. C2×#14273712C22semidirect
41. C2×#14273709C22semidirect
43. C2×#14273705C22semidirect
48. C2×#14273692C22semidirect
55. C2×#14273689C22semidirect
56. C2×#14273689C22semidirect
61. C2×(C22⋊D59)⋊C4C22semidirect
62. C2×(C22⋊D59)⋊C4C22semidirect
64. C2×#14273685C22semidirect
65. C2×#14273685C22semidirect
66. C2×#14273683C22semidirect
67. C2×#14273683C22semidirect
72. C2×C42×D59C22semidirect
73. #16837344C22semidirect
74. #16837341C22semidirect
75. #16837339C22semidirect
76. #16837338C22semidirect
77. #16837336C22semidirect
78. #16837335C22semidirect
79. #16837330C22semidirect
80. #16837330C22semidirect
81. #16837330C22semidirect
82. #16837329C22semidirect
83. #16837329C22semidirect
84. #16837328C22semidirect
85. #16837328C22semidirect
86. #16837327C22semidirect
87. #16837325C22semidirect
88. #16837324C22semidirect
89. #16837324C22semidirect
90. #16837324C22semidirect
92. #16837320C22semidirect
95. #16837319C22semidirect
96. #16837318C22semidirect
97. #16837317C22semidirect
101. #16837306C22semidirect
102. #16837306C22semidirect
107. #16837299C22semidirect
108. #16837299C22semidirect
109. #16837297C22semidirect
110. #16837297C22semidirect
111. #16837296C22semidirect
112. #16837295C22semidirect
113. #16837293C22semidirect
114. #16837293C22semidirect
115. #16837293C22semidirect
116. #16837292C22semidirect
117. #16837291C22semidirect
118. #16837286C22semidirect
119. #16837281C22semidirect
120. #16837281C22semidirect
123. #16837280C22semidirect
124. #16837280C22semidirect
125. #16837280C22semidirect
126. #16837278C22semidirect
131. #16837273C22semidirect
132. #16837273C22semidirect
133. #16837266C22semidirect
134. #16837265C22semidirect
135. #16837264C22semidirect
136. #16837264C22semidirect
137. #16837262C22semidirect
141. #16837261C22semidirect
142. #16837261C22semidirect
143. #16837261C22semidirect
152. C4⋊C4×Dic59C22semidirect
153. C4⋊C4×Dic59C22semidirect
154. C4⋊C4×Dic59C22semidirect
155. #16837253C22semidirect
156. #16837253C22semidirect
157. C22⋊C4×Dic59C22semidirect
158. C22⋊C4×Dic59C22semidirect
159. C22⋊C4×Dic59C22semidirect
160. C22⋊C4×Dic59C22semidirect
162. C4×(C2×D59)⋊C4C22semidirect
167. #16837249C22semidirect
168. #16837249C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
171. #16837249C22semidirect
172. #16837249C22semidirect
173. C42×Dic59C22semidirect
174. C2×#126×C59C22semidirect
176. C59×#398C22semidirect
177. C59×#398C22semidirect
180. C59×#388C22semidirect
181. C59×#388C22semidirect
182. C59×#388C22semidirect
183. C59×#387C22semidirect
184. C59×#385C22semidirect
185. C59×#385C22semidirect
186. C59×#381C22semidirect
187. C59×#380C22semidirect
188. C4×C4⋊C4×C59C22semidirect
249. (C22⋊D59)⋊C4D4semidirect
821. C2×D59#529semidirect
852. #2468D59semidirect
896. C2×#126C2×D59semidirect
940. #398C2×D59semidirect
941. #398C2×D59semidirect
983. #388C2×D59semidirect
984. #388C2×D59semidirect
985. #388C2×D59semidirect
987. #387C2×D59semidirect
1002. #385C2×D59semidirect
1003. #385C2×D59semidirect
1008. #381C2×D59semidirect
1018. #380C2×D59semidirect
1030. C4×C4⋊C4C2×D59semidirect
1048. C59#34700semidirect

Maximal subgroups

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

subgroupindex
C2×#168379352
C2×C4×D4×D592
#214283462
#214283382
#214281622
#214280052
#214279972
#214279652
#214278802
#214278152
#214277422
#214276722
#214275872
#214275652
#214275632
#214275422
#214274472
#214273602
#214273522
#214273392
#214273372
#214266372
#214266302
#214266082
#214265972
#214265562
#214264782
#214264762
C4×#142736892
C59×#24682
#3470059