Finite Group Databasebeta

← #28756872

Subgroups — #28756872

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×#16837929C211yesmaximal, characteristic, complemented
2C22×(C22⋊D59)⋊C4C211yesmaximal, characteristic, complemented
3#21428344C211yesmaximal, characteristic, complemented
4#21428336C211yesmaximal, characteristic, complemented
5#21428168C211yesmaximal, characteristic, complemented
6#21428160C211yesmaximal, characteristic, complemented
7#21428007C211yesmaximal, characteristic, complemented
8#21427999C211yesmaximal, characteristic, complemented
9#21427963C211yesmaximal, characteristic, complemented
10#21427878C211yesmaximal, characteristic, complemented
11#21427817C211yesmaximal, characteristic, complemented
12#21427745C211yesmaximal, characteristic, complemented
13#21427666C211yesmaximal, characteristic, complemented
14#21427581C211yesmaximal, characteristic, complemented
15#21427552C211yesmaximal, characteristic, complemented
16#21427544C211yesmaximal, characteristic, complemented
17#21427449C211yesmaximal, characteristic
18#21427361C211yesmaximal, characteristic, complemented
19#21427354C211yesmaximal, characteristic, complemented
20#21427339C211yesmaximal, characteristic, complemented
21#21427335C211yesmaximal, characteristic, complemented
22#21426637C211yesmaximal, characteristic, complemented
23#21426628C211yesmaximal, characteristic, complemented
24#21426606C211yesmaximal, characteristic, complemented
25#21426601C211yesmaximal, characteristic, complemented
26#120×Dic59C211yesmaximal, characteristic, complemented
27#21426556C211yesmaximal, characteristic, complemented
28#21426478C211yesmaximal, characteristic, complemented
29#21426474C211yesmaximal, characteristic, complemented
30C4×D4×Dic59C211yesmaximal, characteristic, complemented
31C59×#2418C211yesmaximal, characteristic, complemented
32C23×C22⋊D59C2211yescharacteristic
33C24×Dic59C2211yescharacteristic
34C23×C4×D59C2211yescharacteristic
35#16837929—28no—
36C2×#14273722C2211yescharacteristic, complemented
37C2×#14273720C2211yescharacteristic, complemented
38C2×#14273717C2211yescharacteristic, complemented
39C2×#14273713C2211yescharacteristic
40C2×#14273713C2211yescharacteristic
41C2×#14273710C2211yescharacteristic, complemented
42C2×#14273704C2211yescharacteristic
43C2×#14273704C2211yescharacteristic, complemented
44C2×#14273699C2211yescharacteristic
45C2×#14273699C2211yescharacteristic
46C2×#14273695C2211yescharacteristic
47C2×#14273692C2211yescharacteristic, complemented
48C2×D4×Dic59C2211yescharacteristic
49C2×D4×Dic59C2211yescharacteristic
50C2×D4×Dic59C2211yescharacteristic, complemented
51C2×D4×Dic59C2211yescharacteristic, complemented
52C2×(C22⋊D59)⋊C4—28no—
53C2×(C22⋊D59)⋊C4C2211yescharacteristic
54C2×(C22⋊D59)⋊C4C2211yescharacteristic
55C2×(C22⋊D59)⋊C4C2211yescharacteristic
56C2×(C22⋊D59)⋊C4C2211yescharacteristic
57C2×(C22⋊D59)⋊C4C2211yescharacteristic
58C2×(C22⋊D59)⋊C4C2211yescharacteristic
59C2×(C22⋊D59)⋊C4C2211yescharacteristic
60C2×(C22⋊D59)⋊C4C2211yescharacteristic
61C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
62C2×(C22⋊D59)⋊C4C2211yescharacteristic, complemented
63C2×#14273685C2211yescharacteristic, complemented
64C2×#14273685C2211yescharacteristic, complemented
65C2×#14273683C2211yescharacteristic, complemented
66C2×#14273683C2211yescharacteristic, complemented
67C22×Dic59⋊C4C2211yescharacteristic
68C22×(C2×D59)⋊C4C2211yescharacteristic
69C22×C4×Dic59C2211yescharacteristic
70C22×C4×Dic59C2211yescharacteristic, complemented
71#16837343C2211yescharacteristic, complemented
72#16837340C2211yescharacteristic, complemented
73#16837337C2211yescharacteristic, complemented
74#16837336C2211yescharacteristic, complemented
75#16837336C2211yescharacteristic, complemented
76#16837334C2211yescharacteristic, complemented
77#16837332C2211yescharacteristic, complemented
78#16837331C2211yescharacteristic, complemented
79#16837330C2211yescharacteristic, complemented
80#16837330C2211yescharacteristic, complemented
81#16837329C2211yescharacteristic, complemented
82#16837328C2211yescharacteristic, complemented
83#16837328C2211yescharacteristic, complemented
84#16837327C2211yescharacteristic, complemented
85#16837325C2211yescharacteristic, complemented
86#16837325C2211yescharacteristic, complemented
87#16837325C2211yescharacteristic, complemented
88#16837324C2211yescharacteristic, complemented
89#16837318C2211yescharacteristic
90#16837318C2211yescharacteristic
91#16837318C2211yescharacteristic
92#16837318C2211yescharacteristic
93#16837317C2211yescharacteristic
94#16837317C2211yescharacteristic
95#16837317C2211yescharacteristic, complemented
96#16837317C2211yescharacteristic, complemented
97#16837310C2211yescharacteristic
98#16837310C2211yescharacteristic
99#16837306C2211yescharacteristic, complemented
100#16837306C2211yescharacteristic, complemented
101#16837302C2211yescharacteristic
102#16837302C2211yescharacteristic
103#16837302C2211yescharacteristic
104#16837302C2211yescharacteristic
105#16837299C2211yescharacteristic, complemented
106#16837299C2211yescharacteristic, complemented
107#16837297C2211yescharacteristic, complemented
108#16837297C2211yescharacteristic, complemented
109#16837296C2211yescharacteristic, complemented
110#16837295C2211yescharacteristic, complemented
111#16837294C2211yescharacteristic, complemented
112#16837293C2211yescharacteristic, complemented
113#16837293C2211yescharacteristic, complemented
114#16837292C2211yescharacteristic, complemented
115#16837291C2211yescharacteristic, complemented
116#16837290C2211yescharacteristic, complemented
117#16837287C2211yescharacteristic, complemented
118#16837283C2211yescharacteristic, complemented
119#16837282C2211yescharacteristic
120#16837282C2211yescharacteristic, complemented
121#16837282C2211yescharacteristic, complemented
122#16837281C2211yescharacteristic, complemented
123#16837278C2211yescharacteristic, complemented
124#16837278C2211yescharacteristic, complemented
125#16837277C2211yescharacteristic
126#16837277C2211yescharacteristic, complemented
127#16837277C2211yescharacteristic, complemented
128#16837276C2211yescharacteristic, complemented
129#16837276C2211yescharacteristic, complemented
130#16837275C2211yescharacteristic
131#16837275C2211yescharacteristic
132#16837266C2211yescharacteristic, complemented
133#16837264C2211yescharacteristic, complemented
134#16837264C2211yescharacteristic, complemented
135#16837263C2211yescharacteristic, complemented
136#16837263C2211yescharacteristic, complemented
137#16837262C2211yescharacteristic
138#16837260C2211yescharacteristic
139#16837260C2211yescharacteristic
140#16837260C2211yescharacteristic
141#16837260C2211yescharacteristic, complemented
142#16837260C2211yescharacteristic, complemented
143#16837260C2211yescharacteristic, complemented
144#16837259C2211yescharacteristic, complemented
145#16837259C2211yescharacteristic, complemented
146#16837258C2211yescharacteristic
147#16837258C2211yescharacteristic
148#16837257C2211yescharacteristic
149#16837257C2211yescharacteristic
150#16837257C2211yescharacteristic
151C4⋊C4×Dic59C2211yescharacteristic, complemented
152C4⋊C4×Dic59C2211yescharacteristic, complemented
153C4⋊C4×Dic59C2211yescharacteristic, complemented
154C4×C4⋊Dic59C2211yescharacteristic, complemented
155#16837253C2211yescharacteristic, complemented
156#16837253C2211yescharacteristic, complemented
157C22⋊C4×Dic59C2211yescharacteristic
158C22⋊C4×Dic59C2211yescharacteristic
159C22⋊C4×Dic59C2211yescharacteristic
160C22⋊C4×Dic59C2211yescharacteristic
161C22⋊C4×Dic59C2211yescharacteristic, complemented
162C22⋊C4×Dic59C2211yescharacteristic, complemented
163C22⋊C4×Dic59C2211yescharacteristic, complemented
164C22⋊C4×Dic59C2211yescharacteristic, complemented
165C22⋊C4×Dic59C2211yescharacteristic, complemented
166C22⋊C4×Dic59C2211yescharacteristic, complemented
167C4×C22⋊Dic59C2211yescharacteristic
168C4×C22⋊Dic59C2211yescharacteristic, complemented
169#16837249C2211yescharacteristic, complemented
170#16837249C2211yescharacteristic, complemented
171#16837249C2211yescharacteristic, complemented
172#16837249C2211yescharacteristic, complemented
173C42×Dic59C2211yescharacteristic, complemented
174C2×#123×C59C2211yescharacteristic, complemented
175C2×#120×C59C2211yescharacteristic
176C2×C4×D4×C59C2211yescharacteristic
177C22×C22⋊C4×C59C2211yescharacteristic
178C59×#399C2211yescharacteristic, complemented
179C59×#397C2211yescharacteristic, complemented
180C59×#394C2211yescharacteristic, complemented
181C59×#394C2211yescharacteristic, complemented
182C59×#388C2211yescharacteristic, complemented
183C59×#388C2211yescharacteristic, complemented
184C59×#386C2211yescharacteristic
185C59×#386C2211yescharacteristic, complemented
186C59×#385C2211yescharacteristic
187C59×#380C2211yescharacteristic
188C59×#379C2211yescharacteristic
189C24×D59C2311yescharacteristic
190C22×Dic118C2311yescharacteristic
191C22×C22⋊D59—24no—
192C22×C22⋊D59—24no—
193C22×C22⋊D59—24no—
194C22×C22⋊D59C2311yescharacteristic
195C22×C22⋊D59C2311yescharacteristic
196C22×C22⋊D59C2311yescharacteristic
197C22×C22⋊D59C2311yescharacteristic
198C22×C22⋊D59C2311yescharacteristic
199C22×C22⋊D59C2311yescharacteristic
200C23×Dic59—24no—
201C23×Dic59—24no—
202C23×Dic59—42no—
203C23×Dic59C2311yescharacteristic
204C23×Dic59C2311yescharacteristic
205C23×Dic59C2311yescharacteristic
206C23×Dic59C2311yescharacteristic
207C23×Dic59C2311yescharacteristic
208C23×Dic59C2311yescharacteristic
209C23×Dic59C2311yescharacteristic
210C23×Dic59C2311yescharacteristic
211C23×Dic59C2311yescharacteristic
212C22×C4×D59—24no—
213C22×C4×D59—24no—
214C22×C4×D59—42no—
215C22×C4×D59C2311yescharacteristic
216C22×C4×D59C2311yescharacteristic
217C22×C4×D59C2311yescharacteristic
218C22×C4×D59C2311yescharacteristic
219#14273722—24no—
220#14273720—24no—
221#14273717—24no—
222#14273713—24no—
223#14273713—24no—
224#14273710—24no—
225#14273704—24no—
226#14273704—24no—
227#14273699—24no—
228#14273699—24no—
229#14273695—24no—
230#14273692—24no—
231D4×Dic59—24no—
232D4×Dic59—24no—
233D4×Dic59—24no—
234D4×Dic59—42no—
235(C22⋊D59)⋊C4—24no—
236(C22⋊D59)⋊C4—24no—
237(C22⋊D59)⋊C4—24no—
238(C22⋊D59)⋊C4—24no—
239(C22⋊D59)⋊C4—24no—
240(C22⋊D59)⋊C4—24no—
241(C22⋊D59)⋊C4—24no—
242(C22⋊D59)⋊C4—24no—
243(C22⋊D59)⋊C4—42no—
244(C22⋊D59)⋊C4D418yescomplemented
245#14273685—24no—
246#14273685—42no—
247#14273683—24no—
248#14273683—42no—
249C2×C4⋊Dic59C2311yescharacteristic
250C2×C4⋊Dic59C2311yescharacteristic
251C2×C4⋊Dic59C2311yescharacteristic
252C2×C4⋊Dic59C2311yescharacteristic
253C2×C4⋊Dic59C2311yescharacteristic
254C2×C4⋊Dic59C2311yescharacteristic
255C2×C4⋊Dic59C2311yescharacteristic
256C2×Dic59⋊C4—24no—
257C2×Dic59⋊C4C2311yescharacteristic
258C2×Dic59⋊C4C2311yescharacteristic
259C2×Dic59⋊C4C2311yescharacteristic
260C2×Dic59⋊C4C2311yescharacteristic
261C2×Dic59⋊C4C2311yescharacteristic
262C2×Dic59⋊C4C2311yescharacteristic
263C2×Dic59⋊C4C2311yescharacteristic
264C2×Dic59⋊C4C2311yescharacteristic
265C2×Dic59⋊C4C2311yescharacteristic
266C2×Dic59⋊C4C2311yescharacteristic
267C2×Dic59⋊C4C2311yescharacteristic
268C2×Dic59⋊C4C2311yescharacteristic
269C2×Dic59⋊C4C2311yescharacteristic
270C2×Dic59⋊C4C2311yescharacteristic
271C2×Dic59⋊C4C2311yescharacteristic
272C2×Dic59⋊C4C2311yescharacteristic
273C2×C22⋊Dic59C2311yescharacteristic
274C2×C22⋊Dic59C2311yescharacteristic
275C2×C22⋊Dic59C2311yescharacteristic
276C2×C22⋊Dic59C2311yescharacteristic
277C2×C22⋊Dic59C2311yescharacteristic
278C2×C22⋊Dic59C2311yescharacteristic
279C2×C22⋊Dic59C2311yescharacteristic
280C2×C22⋊Dic59C2311yescharacteristic
281C2×C22⋊Dic59C2311yescharacteristic
282C2×C22⋊Dic59C2311yescharacteristic
283C2×C22⋊Dic59C2311yescharacteristic
284C2×C22⋊Dic59C2311yescharacteristic
285C2×C22⋊Dic59C2311yescharacteristic
286C2×C22⋊Dic59C2311yescharacteristic
287C2×C22⋊Dic59C2311yescharacteristic
288C2×C22⋊Dic59C2311yescharacteristic
289C2×(C2×D59)⋊C4—24no—
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×C4×Dic59—24no—
309C2×C4×Dic59—24no—
310C2×C4×Dic59C2311yescharacteristic
311C2×C4×Dic59C2311yescharacteristic
312C2×C4×Dic59C2311yescharacteristic
313C2×C4×Dic59C2311yescharacteristic
314C2×C4×Dic59C2311yescharacteristic
315C2×C4×Dic59C2311yescharacteristic
316C2×C4×Dic59C2311yescharacteristic
317C2×C4×Dic59C2311yescharacteristic
318C2×C4×Dic59C2311yescharacteristic
319C2×C4×Dic59C2311yescharacteristic
320C2×C4×Dic59C2311yescharacteristic
321C2×C4×Dic59C2311yescharacteristic
322C2×C4×Dic59C2311yescharacteristic
323C2×C4×Dic59C2311yescharacteristic
324C2×C4×Dic59C2311yescharacteristic
325C2×C4×Dic59C2311yescharacteristic
326C59⋊#95C2311yescharacteristic
327C59⋊#95C2311yescharacteristic
328C59⋊#95C2311yescharacteristic
329C59⋊#95C2311yescharacteristic
330C59⋊#95C2311yescharacteristic
331C59⋊#95C2311yescharacteristic
332C59⋊#95C2311yescharacteristic
333C59⋊#95C2311yescharacteristic
334C59⋊#95C2311yescharacteristic
335C59⋊#95C2311yescharacteristic
336C59⋊#95C2311yescharacteristic
337C59⋊#95C2311yescharacteristic
338C59⋊#95C2311yescharacteristic
339C59⋊#95C2311yescharacteristic
340C59⋊#95C2311yescharacteristic
341C59⋊#95C2311yescharacteristic
342C59⋊#95C2311yescharacteristic
343C59⋊#95C2311yescharacteristic
344C59⋊#95C2311yescharacteristic
345C59⋊#95C2311yescharacteristic
346C59⋊#95C2311yescharacteristic
347C59⋊#95C2311yescharacteristic
348C59⋊#95C2311yescharacteristic
349C59⋊#95C2311yescharacteristic
350C59⋊#95C2311yescharacteristic
351C59⋊#95C2311yescharacteristic
352C25×C59C2311yescharacteristic
353C22×D4×C59C2311yescharacteristic
354C22×D4×C59C2311yescharacteristic
355C22×D4×C59C2311yescharacteristic
356C23×C4×C59C2311yescharacteristic
357C23×C4×C59C2311yescharacteristic
358C23×C4×C59C2311yescharacteristic
359#123×C59—24no—
360#120×C59—24no—
361C4×D4×C59—24no—
362C2×C4⋊C4×C59C2311yescharacteristic
363C2×C4⋊C4×C59C2311yescharacteristic
364C2×C4⋊C4×C59C2311yescharacteristic
365C2×C4⋊C4×C59C2311yescharacteristic
366C2×C4⋊C4×C59C2311yescharacteristic
367C2×C22⋊C4×C59—24no—
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×C22⋊C4×C59C2311yescharacteristic
379C2×C22⋊C4×C59C2311yescharacteristic
380C2×C22⋊C4×C59C2311yescharacteristic
381C2×C22⋊C4×C59C2311yescharacteristic
382C2×C22⋊C4×C59C2311yescharacteristic
383C2×C22⋊C4×C59C2311yescharacteristic
384C2×C42×C59C2311yescharacteristic
385#95×C59C2311yescharacteristic
386#95×C59C2311yescharacteristic
387#95×C59C2311yescharacteristic
388#95×C59C2311yescharacteristic
389#95×C59C2311yescharacteristic
390#95×C59C2311yescharacteristic
391C24×C59—22no—
392C24×C59—22no—
393C24×C59—22no—
394C24×C59—22no—
395C24×C59—22no—
396C24×C59—41no—
397C24×C59—41no—
398C24×C59C2411yescharacteristic
399C24×C59C2411yescharacteristic
400C24×C59C2411yescharacteristic
401C24×C59C2411yescharacteristic
402C23×D59—22no—
403C23×D59—22no—
404C23×D59—22no—
405C23×D59—22no—
406C23×D59—22no—
407C23×D59—41no—
408C23×D59—41no—
409C23×D59C2411yescharacteristic
410C23×D59C2411yescharacteristic
411C2×D4×C59—22no—
412C2×D4×C59—22no—
413C2×D4×C59—22no—
414C2×D4×C59—22no—
415C2×D4×C59—22no—
416C2×D4×C59—22no—
417C2×D4×C59—41no—
418C2×D4×C59—41no—
419C2×D4×C59#4114yes—
420C22×C4×C59—22no—
421C22×C4×C59—22no—
422C22×C4×C59—22no—
423C22×C4×C59—22no—
424C22×C4×C59—22no—
425C22×C4×C59—22no—
426C22×C4×C59—41no—
427C22×C4×C59—41no—
428C22×C4×C59—41no—
429C22×C4×C59C2411yescharacteristic
430C22×C4×C59C2411yescharacteristic
431C22×C4×C59C2411yescharacteristic
432C22×C4×C59C2411yescharacteristic
433C22×C4×C59C2411yescharacteristic
434C22×C4×C59C2411yescharacteristic
435C22×C4×C59C2411yescharacteristic
436C22×C4×C59C2411yescharacteristic
437C22×C4×C59C2411yescharacteristic
438C22×C4×C59C2411yescharacteristic
439C22×C4×C59C2411yescharacteristic
440C2×C22⋊D59—232no—
441C2×C22⋊D59—22no—
442C2×C22⋊D59—22no—
443C2×C22⋊D59—22no—
444C2×C22⋊D59—22no—
445C2×C22⋊D59—22no—
446C2×C22⋊D59—22no—
447C2×C22⋊D59—22no—
448C2×C22⋊D59—22no—
449C2×C22⋊D59—22no—
450C2×C22⋊D59—22no—
451C2×C22⋊D59—22no—
452C2×C22⋊D59—22no—
453C2×C22⋊D59—22no—
454C2×C22⋊D59—22no—
455C2×C22⋊D59—41no—
456C2×C22⋊D59—41no—
457C2×C22⋊D59C2×D414yes—
458C2×C22⋊D59#4114yes—
459C22×Dic59—22no—
460C22×Dic59—22no—
461C22×Dic59—22no—
462C22×Dic59—22no—
463C22×Dic59—22no—
464C22×Dic59—22no—
465C22×Dic59—22no—
466C22×Dic59—22no—
467C22×Dic59—22no—
468C22×Dic59—22no—
469C22×Dic59—22no—
470C22×Dic59—22no—
471C22×Dic59—22no—
472C22×Dic59—22no—
473C22×Dic59—22no—
474C22×Dic59—22no—
475C22×Dic59—22no—
476C22×Dic59—22no—
477C22×Dic59—22no—
478C22×Dic59—22no—
479C22×Dic59—22no—
480C22×Dic59—41no—
481C22×Dic59—41no—
482C22×Dic59—41no—
483C22×Dic59—416no—
484C22×Dic59C2×D414yes—
485C22×Dic59#4114yes—
486C22×Dic59#4114yes—
487C22×Dic59C2411yescharacteristic
488C22×Dic59C2411yescharacteristic
489C22×Dic59C2411yescharacteristic
490C22×Dic59C2411yescharacteristic
491C22×Dic59C2411yescharacteristic
492C22×Dic59C2411yescharacteristic
493C22×Dic59C2411yescharacteristic
494C22×Dic59C2411yescharacteristic
495C22×Dic59C2411yescharacteristic
496C22×Dic59C2411yescharacteristic
497C22×Dic59C2411yescharacteristic
498C22×Dic59C2411yescharacteristic
499C22×Dic59C2411yescharacteristic
500C22×Dic59C2411yescharacteristic
501C2×C4×D59—22no—
502C2×C4×D59—22no—
503C2×C4×D59—22no—
504C2×C4×D59—22no—
505C2×C4×D59—22no—
506C2×C4×D59—22no—
507C2×C4×D59—22no—
508C2×C4×D59—22no—
509C2×C4×D59—22no—
510C2×C4×D59—416no—
511C2×C4×D59—41no—
512C2×C4×D59—41no—
513C2×C4×D59C2×D414yes—
514C2×Dic118—22no—
515C2×Dic118—22no—
516C2×Dic118—22no—
517C4⋊C4×C59—22no—
518C4⋊C4×C59—22no—
519C4⋊C4×C59—22no—
520C4⋊C4×C59—41no—
521C4⋊C4×C59—41no—
522C22⋊C4×C59—22no—
523C22⋊C4×C59—22no—
524C22⋊C4×C59—22no—
525C22⋊C4×C59—22no—
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—22no—
534C22⋊C4×C59—41no—
535C22⋊C4×C59—41no—
536C22⋊C4×C59—41no—
537C22⋊C4×C59C2×D414yes—
538C42×C59—22no—
539C22⋊Dic59—22no—
540C22⋊Dic59—22no—
541C22⋊Dic59—22no—
542C22⋊Dic59—22no—
543C22⋊Dic59—22no—
544C22⋊Dic59—22no—
545C22⋊Dic59—22no—
546C22⋊Dic59—22no—
547C22⋊Dic59—22no—
548C22⋊Dic59—22no—
549C22⋊Dic59—22no—
550C22⋊Dic59—41no—
551C22⋊Dic59—41no—
552C22⋊Dic59—41no—
553C22⋊Dic59—41no—
554C22⋊Dic59—41no—
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—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)⋊C4C2×D414yes—
573C4⋊Dic59—22no—
574C4⋊Dic59—22no—
575C4⋊Dic59—22no—
576C4⋊Dic59—22no—
577C4⋊Dic59—22no—
578C4⋊Dic59—41no—
579C4⋊Dic59—41no—
580Dic59⋊C4—22no—
581Dic59⋊C4—22no—
582Dic59⋊C4—22no—
583Dic59⋊C4—22no—
584Dic59⋊C4—22no—
585Dic59⋊C4—22no—
586Dic59⋊C4—22no—
587Dic59⋊C4—22no—
588Dic59⋊C4—22no—
589Dic59⋊C4—22no—
590Dic59⋊C4—22no—
591Dic59⋊C4—41no—
592Dic59⋊C4—41no—
593Dic59⋊C4—41no—
594Dic59⋊C4—41no—
595Dic59⋊C4C2×D414yes—
596C4×Dic59—22no—
597C4×Dic59—22no—
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—28no—
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×C59—21no—
632C23×C59—21no—
633C23×C59—21no—
634C23×C59—21no—
635C23×C59—44no—
636C23×C59—44no—
637C23×C59—44no—
638C23×C59—44no—
639C23×C59—44no—
640C23×C59—44no—
641C23×C59C22×D412yes—
642C23×C59C2×#4112yes—
643C23×C59C2×#4112yes—
644C23×C59C2×#4112yes—
645C23×C59C2×#4112yes—
646C23×C59C2×#4112yes—
647C23×C59C2511yescharacteristic
648C22×D59—28no—
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—21no—
658C22×D59—21no—
659C22×D59—21no—
660C22×D59—21no—
661C22×D59—44no—
662C22×D59—44no—
663C22×D59—44no—
664C22×D59—44no—
665C22×D59—44no—
666C22×D59—44no—
667C22×D59C22×D412yes—
668C22×D59C2×#4112yes—
669D4×C59—28no—
670D4×C59—44no—
671D4×C59—44no—
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—44no—
703C2×C4×C59—44no—
704C2×C4×C59—44no—
705C2×C4×C59C22×D412yes—
706C2×C4×C59C22×D412yes—
707C2×C4×C59C2×#4112yes—
708C22⋊D59—28no—
709C22⋊D59—28no—
710C22⋊D59—28no—
711C22⋊D59—28no—
712C22⋊D59—44no—
713C22⋊D59—44no—
714C2×Dic59—21no—
715C2×Dic59—21no—
716C2×Dic59—21no—
717C2×Dic59—21no—
718C2×Dic59—21no—
719C2×Dic59—21no—
720C2×Dic59—28no—
721C2×Dic59—28no—
722C2×Dic59—28no—
723C2×Dic59—21no—
724C2×Dic59—21no—
725C2×Dic59—21no—
726C2×Dic59—21no—
727C2×Dic59—21no—
728C2×Dic59—21no—
729C2×Dic59—21no—
730C2×Dic59—21no—
731C2×Dic59—21no—
732C2×Dic59—21no—
733C2×Dic59—21no—
734C2×Dic59—21no—
735C2×Dic59—21no—
736C2×Dic59—21no—
737C2×Dic59—21no—
738C2×Dic59—21no—
739C2×Dic59—21no—
740C2×Dic59—21no—
741C2×Dic59—21no—
742C2×Dic59—21no—
743C2×Dic59—21no—
744C2×Dic59—21no—
745C2×Dic59—21no—
746C2×Dic59—21no—
747C2×Dic59—21no—
748C2×Dic59—21no—
749C2×Dic59—21no—
750C2×Dic59—44no—
751C2×Dic59—44no—
752C2×Dic59—44no—
753C2×Dic59—44no—
754C2×Dic59—44no—
755C2×Dic59—44no—
756C2×Dic59C22×D412yes—
757C2×Dic59C22×D412yes—
758C2×Dic59C22×D412yes—
759C2×Dic59C2×#4112yes—
760C2×Dic59C2×#4112yes—
761C2×Dic59C2×#4112yes—
762C2×Dic59C2×#4112yes—
763C2×Dic59C2×#4112yes—
764C2×Dic59H(5,𝔽2)12yes—
765C4×D59—28no—
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—22no—
778C22×C59—22no—
779C22×C59—22no—
780C22×C59—22no—
781C22×C59—22no—
782C22×C59—22no—
783C22×C59—22no—
784C22×C59—22no—
785C22×C59—22no—
786C22×C59—416no—
787C22×C59—41no—
788C22×C59—41no—
789C22×C59—41no—
790C22×C59—41no—
791C22×C59—41no—
792C22×C59—41no—
793C22×C59—41no—
794C22×C59—41no—
795C22×C59—41no—
796C22×C59—41no—
797C22×C59—41no—
798C22×C59—41no—
799C22×C59#52914yescomplemented
800C22×C59C23×D411yescharacteristic
801C22×C59C22×#4111yescharacteristic
802C22×C59C22×#4111yescharacteristic
803C22×C59C22×#4111yescharacteristic
804C22×C59C22×#4111yescharacteristic
805C22×C59C2×H(5,𝔽2)11yescharacteristic
806C22×C59#58511yescharacteristic
807C2×D59—22no—
808C2×D59—22no—
809C2×D59—22no—
810C2×D59—22no—
811C2×D59—22no—
812C2×D59—22no—
813C2×D59—416no—
814C2×D59—41no—
815C2×D59—41no—
816C2×D59—41no—
817C2×D59—41no—
818C2×D59—41no—
819C2×D59—41no—
820C2×D59—41no—
821C2×D59—41no—
822C4×C59—22no—
823C4×C59—22no—
824C4×C59—22no—
825C4×C59—41no—
826C4×C59—41no—
827C4×C59—41no—
828C4×C59—41no—
829C4×C59—41no—
830C4×C59—41no—
831C4×C59—41no—
832C4×C59—41no—
833Dic59—22no—
834Dic59—22no—
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#2468—591no—
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#2418D5911yescharacteristic, complemented
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—24no—
879C2×C59—42no—
880C2×C59—42no—
881C2×C59—42no—
882C2×C59C2×#52511yescharacteristic
883C2×C59C2×#52911yescharacteristic
884C2×C59#346011yescharacteristic
885C2×C59C2×#54611yescharacteristic
886C2×C59D4×#4111yescharacteristic
887C2×C59#347511yescharacteristic
888C2×C59#348111yescharacteristic
889D59—42no—
890D59—42no—
891C23×D4—591no—
892C24×C4—591no—
893C24×C4—591no—
894#529—1188no—
895C2×#126—591no—
896C2×#126—591no—
897C2×#125—591no—
898C2×#124—591no—
899C2×#124—591no—
900C2×#123—591no—
901C2×#123C2×D5911yescharacteristic, complemented
902C2×C22⋊Q8—591no—
903C2×C22⋊Q8—591no—
904C2×#121—591no—
905C2×#121—591no—
906C2×#120—591no—
907C2×#120C2×D5911yescharacteristic
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⋊C4C2×D5911yescharacteristic
932C22×C42—591no—
933C22×C42—591no—
934#400—591no—
935#400—591no—
936#399—591no—
937#399C2×D5911yescharacteristic, complemented
938#398—591no—
939#398—591no—
940#398—591no—
941#398—591no—
942#397—591no—
943#397—591no—
944#397—591no—
945#397—591no—
946#397—591no—
947#397—591no—
948#397—591no—
949#397C2×D5911yescharacteristic, complemented
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, complemented
963#394C2×D5911yescharacteristic, complemented
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#388—591no—
984#388C2×D5911yescharacteristic, complemented
985#388C2×D5911yescharacteristic, complemented
986#387—591no—
987#387—591no—
988#386—591no—
989#386—591no—
990#386—591no—
991#386—591no—
992#386—591no—
993#386—591no—
994#386C2×D5911yescharacteristic
995#386C2×D5911yescharacteristic, complemented
996#385—591no—
997#385—591no—
998#385—591no—
999#385—591no—
1000#385—591no—
1001#385—591no—
1002#385—591no—
1003#385C2×D5911yescharacteristic
1004#382—591no—
1005#381—591no—
1006#381—591no—
1007#381—591no—
1008#381—591no—
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
1019#379—591no—
1020#379—591no—
1021#379—591no—
1022#379—591no—
1023#379—591no—
1024#379C2×D5911yescharacteristic
1025C4×C4⋊C4—591no—
1026C4×C4⋊C4—591no—
1027C4×C4⋊C4—591no—
1028C4×C4⋊C4—591no—
1029C4×C4⋊C4—591no—
1030C4×C4⋊C4—591no—
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—
1050C25C22×D5911yescharacteristic
1051C22×Q8—591no—
1052C22×D4—591no—
1053C22×D4—591no—
1054C22×D4—591no—
1055C22×D4—591no—
1056C22×D4—591no—
1057C22×D4—591no—
1058C22×D4—1184no—
1059C22×D4—1184no—
1060C22×D4—1184no—
1061C22×D4C22×D5911yescharacteristic
1062C22×D4C22×D5911yescharacteristic
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—1184no—
1078C23×C4—1184no—
1079C23×C4—1184no—
1080C23×C4—1184no—
1081C23×C4—2362no—
1082C23×C4—2362no—
1083C23×C4C22×D5911yescharacteristic
1084C23×C4C22×D5911yescharacteristic
1085C23×C4C22×D5911yescharacteristic
1086#126—1184no—
1087#126—1184no—
1088#125—1184no—
1089#124—1184no—
1090#124—1184no—
1091#123—24no—
1092#123—1184no—
1093C22⋊Q8—1184no—
1094C22⋊Q8—1184no—
1095#121—1184no—
1096#121—1184no—
1097#120—24no—
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—591no—
1139C2×C4⋊C4—591no—
1140C2×C4⋊C4—591no—
1141C2×C4⋊C4—591no—
1142C2×C4⋊C4—1184no—
1143C2×C4⋊C4C22×D5911yescharacteristic
1144C2×C4⋊C4C22×D5911yescharacteristic
1145C2×C4⋊C4C22×D5911yescharacteristic
1146C2×C4⋊C4C22×D5911yescharacteristic
1147C2×C4⋊C4C22×D5911yescharacteristic
1148C2×C22⋊C4—24no—
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—1184no—
1184C2×C22⋊C4C22×D5911yescharacteristic
1185C2×C22⋊C4C22×D5911yescharacteristic
1186C2×C22⋊C4C22×D5911yescharacteristic
1187C2×C22⋊C4C22×D5911yescharacteristic
1188C2×C22⋊C4C22×D5911yescharacteristic
1189C2×C22⋊C4C22×D5911yescharacteristic
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—591no—
1215C2×C42—591no—
1216C2×C42—1184no—
1217C2×C42—1184no—
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#95—591no—
1242#95—591no—
1243#95—591no—
1244#95—591no—
1245#95C22×D5911yescharacteristic
1246#95C22×D5911yescharacteristic
1247#95C22×D5911yescharacteristic
1248#95C22×D5911yescharacteristic
1249#95C22×D5911yescharacteristic
1250#95C22×D5911yescharacteristic
1251C24—22no—
1252C24—22no—
1253C24—22no—
1254C24—22no—
1255C24—22no—
1256C24—41no—
1257C24—41no—
1258C24—591no—
1259C24—591no—
1260C24—1182no—
1261C24—1182no—
1262C24—1182no—
1263C24—1182no—
1264C24—1182no—
1265C24—2361no—
1266C24—2361no—
1267C24C23×D5911yescharacteristic
1268C24C23×D5911yescharacteristic
1269C24C23×D5911yescharacteristic
1270C24C23×D5911yescharacteristic
1271C2×Q8—1182no—
1272C2×Q8—1182no—
1273C2×Q8—1182no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—594no—
1283C2×D4—594no—
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—1182no—
1299C2×D4—2361no—
1300C2×D4—2361no—
1301C2×D4#1174568714yes—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—22no—
1308C22×C4—41no—
1309C22×C4—41no—
1310C22×C4—41no—
1311C22×C4—591no—
1312C22×C4—591no—
1313C22×C4—594no—
1314C22×C4—594no—
1315C22×C4—594no—
1316C22×C4—591no—
1317C22×C4—591no—
1318C22×C4—591no—
1319C22×C4—594no—
1320C22×C4—591no—
1321C22×C4—591no—
1322C22×C4—591no—
1323C22×C4—591no—
1324C22×C4—591no—
1325C22×C4—591no—
1326C22×C4—591no—
1327C22×C4—591no—
1328C22×C4—591no—
1329C22×C4—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—1182no—
1357C22×C4—1182no—
1358C22×C4—1182no—
1359C22×C4—2361no—
1360C22×C4—2361no—
1361C22×C4—23616no—
1362C22×C4—2361no—
1363C22×C4—2361no—
1364C22×C4—2361no—
1365C22×C4—23616no—
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—41no—
1381C4⋊C4—41no—
1382C4⋊C4—594no—
1383C4⋊C4—1182no—
1384C4⋊C4—1182no—
1385C4⋊C4—1182no—
1386C4⋊C4—1182no—
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—22no—
1413C22⋊C4—22no—
1414C22⋊C4—22no—
1415C22⋊C4—22no—
1416C22⋊C4—22no—
1417C22⋊C4—41no—
1418C22⋊C4—41no—
1419C22⋊C4—41no—
1420C22⋊C4—594no—
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—1182no—
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—594no—
1457C42—1182no—
1458C42—1182no—
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—28no—
1477C23—21no—
1478C23—21no—
1479C23—21no—
1480C23—21no—
1481C23—21no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—44no—
1496C23—44no—
1497C23—44no—
1498C23—44no—
1499C23—44no—
1500C23—44no—
1501C23—592no—
1502C23—592no—
1503C23—1188no—
1504C23—1181no—
1505C23—1181no—
1506C23—1181no—
1507C23—1181no—
1508C23—1181no—
1509C23—1181no—
1510C23—1181no—
1511C23—1181no—
1512C23—1181no—
1513C23—1181no—
1514C23—1181no—
1515C23—1181no—
1516C23—2364no—
1517C23—2364no—
1518C23—2364no—
1519C23—2364no—
1520C23—2364no—
1521C23—2364no—
1522C23C2×D4×D5912yes—
1523C23#41×D5912yes—
1524C23#41×D5912yes—
1525C23#41×D5912yes—
1526C23C2×#1174568712yes—
1527C23C2×#1174568712yes—
1528C23C24×D5911yescharacteristic
1529Q8—2364no—
1530D4—28no—
1531D4—44no—
1532D4—44no—
1533D4—1188no—
1534D4—1188no—
1535D4—1188no—
1536D4—1188no—
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—44no—
1570C2×C4—44no—
1571C2×C4—44no—
1572C2×C4—592no—
1573C2×C4—592no—
1574C2×C4—592no—
1575C2×C4—592no—
1576C2×C4—592no—
1577C2×C4—592no—
1578C2×C4—592no—
1579C2×C4—592no—
1580C2×C4—592no—
1581C2×C4—1188no—
1582C2×C4—1188no—
1583C2×C4—1188no—
1584C2×C4—1188no—
1585C2×C4—1181no—
1586C2×C4—1181no—
1587C2×C4—1181no—
1588C2×C4—1181no—
1589C2×C4—1181no—
1590C2×C4—1181no—
1591C2×C4—1181no—
1592C2×C4—1181no—
1593C2×C4—1181no—
1594C2×C4—1181no—
1595C2×C4—1181no—
1596C2×C4—1181no—
1597C2×C4—1181no—
1598C2×C4—1181no—
1599C2×C4—1181no—
1600C2×C4—1181no—
1601C2×C4—1181no—
1602C2×C4—1181no—
1603C2×C4—1181no—
1604C2×C4—1181no—
1605C2×C4—1181no—
1606C2×C4—1181no—
1607C2×C4—1181no—
1608C2×C4—1181no—
1609C2×C4—1181no—
1610C2×C4—1181no—
1611C2×C4—1181no—
1612C2×C4—1181no—
1613C2×C4—1181no—
1614C2×C4—1181no—
1615C2×C4—1181no—
1616C2×C4—1181no—
1617C2×C4—1181no—
1618C2×C4—2364no—
1619C2×C4—2364no—
1620C2×C4—2364no—
1621C2×C4—2364no—
1622C2×C4—2364no—
1623C2×C4—2364no—
1624C2×C4—2364no—
1625C2×C4—2364no—
1626C2×C4—2364no—
1627C2×C4C2×D4×D5912yes—
1628C2×C4C2×D4×D5912yes—
1629C2×C4C2×#1174568712yes—
1630C22—22no—
1631C22—22no—
1632C22—22no—
1633C22—22no—
1634C22—22no—
1635C22—22no—
1636C22—22no—
1637C22—22no—
1638C22—22no—
1639C22—22no—
1640C22—22no—
1641C22—22no—
1642C22—22no—
1643C22—22no—
1644C22—22no—
1645C22—416no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—41no—
1650C22—41no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—1182no—
1659C22—1182no—
1660C22—1182no—
1661C22—1182no—
1662C22—1182no—
1663C22—1182no—
1664C22—23616no—
1665C22—2361no—
1666C22—2361no—
1667C22—2361no—
1668C22—2361no—
1669C22—2361no—
1670C22—2361no—
1671C22—2361no—
1672C22—2361no—
1673C22#1683792914yescomplemented
1674C22C22×D4×D5911yescharacteristic
1675C22C2×#41×D5911yescharacteristic
1676C22C2×#41×D5911yescharacteristic
1677C22C2×#41×D5911yescharacteristic
1678C22C22×#1174568711yescharacteristic
1679C22H(5,𝔽2)×D5911yescharacteristic
1680C22#1683823711yescharacteristic
1681C4—22no—
1682C4—22no—
1683C4—22no—
1684C4—41no—
1685C4—41no—
1686C4—41no—
1687C4—41no—
1688C4—41no—
1689C4—41no—
1690C4—41no—
1691C4—41no—
1692C4—594no—
1693C4—594no—
1694C4—1182no—
1695C4—1182no—
1696C4—1182no—
1697C4—2361no—
1698C4—2361no—
1699C4—2361no—
1700C4—2361no—
1701C4—2361no—
1702C4—2361no—
1703C4—2361no—
1704C4—2361no—
1705C4—2361no—
1706C2—24no—
1707C2—42no—
1708C2—42no—
1709C2—42no—
1710C2—2362no—
1711C2—2362no—
1712C2#525×D5911yescharacteristic
1713C2C2×#1683792911yescharacteristic
1714C2#2143751511yescharacteristic
1715C2#546×D5911yescharacteristic
1716C2D4×#1174568711yescharacteristic
1717C2#2143765111yescharacteristic
1718C2#2143770111yescharacteristic
subgroupG/H
center, FrattiniC23C24×D59
commutator, socle, cosocleC23×C59C25
FittingC59×#2418C2
prime radical#21427449C2
hypercenter#2418D59
hypocenterC59#34700
LCSG ▷ C23×C59 ▷ C59
UCSC1 ◁ C23 ◁ #2418

Complements

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

NH ≅ G/Ntype
1. C2×#16837929C2semidirect
2. C22×(C22⋊D59)⋊C4C2semidirect
3. #21428344C2semidirect
4. #21428336C2semidirect
5. #21428168C2semidirect
6. #21428160C2semidirect
7. #21428007C2semidirect
8. #21427999C2semidirect
9. #21427963C2semidirect
10. #21427878C2semidirect
11. #21427817C2semidirect
12. #21427745C2semidirect
13. #21427666C2semidirect
14. #21427581C2semidirect
15. #21427552C2semidirect
16. #21427544C2semidirect
18. #21427361C2semidirect
19. #21427354C2semidirect
20. #21427339C2semidirect
21. #21427335C2semidirect
22. #21426637C2semidirect
23. #21426628C2semidirect
24. #21426606C2semidirect
25. #21426601C2semidirect
26. #120×Dic59C2semidirect
27. #21426556C2semidirect
28. #21426478C2semidirect
29. #21426474C2semidirect
30. C4×D4×Dic59C2semidirect
31. C59×#2418C2semidirect
36. C2×#14273722C22semidirect
37. C2×#14273720C22semidirect
38. C2×#14273717C22semidirect
41. C2×#14273710C22semidirect
43. C2×#14273704C22semidirect
47. C2×#14273692C22semidirect
50. C2×D4×Dic59C22semidirect
51. C2×D4×Dic59C22semidirect
61. C2×(C22⋊D59)⋊C4C22semidirect
62. C2×(C22⋊D59)⋊C4C22semidirect
63. C2×#14273685C22semidirect
64. C2×#14273685C22semidirect
65. C2×#14273683C22semidirect
66. C2×#14273683C22semidirect
70. C22×C4×Dic59C22semidirect
71. #16837343C22semidirect
72. #16837340C22semidirect
73. #16837337C22semidirect
74. #16837336C22semidirect
75. #16837336C22semidirect
76. #16837334C22semidirect
77. #16837332C22semidirect
78. #16837331C22semidirect
79. #16837330C22semidirect
80. #16837330C22semidirect
81. #16837329C22semidirect
82. #16837328C22semidirect
83. #16837328C22semidirect
84. #16837327C22semidirect
85. #16837325C22semidirect
86. #16837325C22semidirect
87. #16837325C22semidirect
88. #16837324C22semidirect
95. #16837317C22semidirect
96. #16837317C22semidirect
99. #16837306C22semidirect
100. #16837306C22semidirect
105. #16837299C22semidirect
106. #16837299C22semidirect
107. #16837297C22semidirect
108. #16837297C22semidirect
109. #16837296C22semidirect
110. #16837295C22semidirect
111. #16837294C22semidirect
112. #16837293C22semidirect
113. #16837293C22semidirect
114. #16837292C22semidirect
115. #16837291C22semidirect
116. #16837290C22semidirect
117. #16837287C22semidirect
118. #16837283C22semidirect
120. #16837282C22semidirect
121. #16837282C22semidirect
122. #16837281C22semidirect
123. #16837278C22semidirect
124. #16837278C22semidirect
126. #16837277C22semidirect
127. #16837277C22semidirect
128. #16837276C22semidirect
129. #16837276C22semidirect
132. #16837266C22semidirect
133. #16837264C22semidirect
134. #16837264C22semidirect
135. #16837263C22semidirect
136. #16837263C22semidirect
141. #16837260C22semidirect
142. #16837260C22semidirect
143. #16837260C22semidirect
144. #16837259C22semidirect
145. #16837259C22semidirect
151. C4⋊C4×Dic59C22semidirect
152. C4⋊C4×Dic59C22semidirect
153. C4⋊C4×Dic59C22semidirect
154. C4×C4⋊Dic59C22semidirect
155. #16837253C22semidirect
156. #16837253C22semidirect
161. C22⋊C4×Dic59C22semidirect
162. C22⋊C4×Dic59C22semidirect
163. C22⋊C4×Dic59C22semidirect
164. C22⋊C4×Dic59C22semidirect
165. C22⋊C4×Dic59C22semidirect
166. C22⋊C4×Dic59C22semidirect
168. C4×C22⋊Dic59C22semidirect
169. #16837249C22semidirect
170. #16837249C22semidirect
171. #16837249C22semidirect
172. #16837249C22semidirect
173. C42×Dic59C22semidirect
174. C2×#123×C59C22semidirect
178. C59×#399C22semidirect
179. C59×#397C22semidirect
180. C59×#394C22semidirect
181. C59×#394C22semidirect
182. C59×#388C22semidirect
183. C59×#388C22semidirect
185. C59×#386C22semidirect
244. (C22⋊D59)⋊C4D4semidirect
799. C22×C59#529semidirect
862. #2418D59semidirect
901. C2×#123C2×D59semidirect
937. #399C2×D59semidirect
949. #397C2×D59semidirect
962. #394C2×D59semidirect
963. #394C2×D59semidirect
984. #388C2×D59semidirect
985. #388C2×D59semidirect
995. #386C2×D59semidirect
1048. C59#34700semidirect
1673. C22#16837929semidirect

Maximal subgroups

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

subgroupindex
C2×#168379292
C22×(C22⋊D59)⋊C42
#214283442
#214283362
#214281682
#214281602
#214280072
#214279992
#214279632
#214278782
#214278172
#214277452
#214276662
#214275812
#214275522
#214275442
#214274492
#214273612
#214273542
#214273392
#214273352
#214266372
#214266282
#214266062
#214266012
#120×Dic592
#214265562
#214264782
#214264742
C4×D4×Dic592
C59×#24182
#3470059